diff options
Diffstat (limited to 'analysis')
6 files changed, 995 insertions, 1164 deletions
diff --git a/analysis/countermeasures/countermeasures/results.ipynb b/analysis/countermeasures/countermeasures/results.ipynb new file mode 100644 index 0000000..505afaa --- /dev/null +++ b/analysis/countermeasures/countermeasures/results.ipynb @@ -0,0 +1,360 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "id": "e3313aa9-5cc6-47ff-8db0-b4419e1afb4d", + "metadata": {}, + "outputs": [], + "source": [ + "from test_eval import Test3n, Testinverse, Testk10, TestEpsilon_GSR, TestEpsilon_Multiplicative" + ] + }, + { + "cell_type": "markdown", + "id": "15ac247f", + "metadata": {}, + "source": [ + "## Test results\n", + "\n", + "[Test 3n](#Test-3n)\n", + "\n", + "[Test composite](#Test-composite-(inverse))\n", + "\n", + "[Test k=10](#Test-k=10)\n", + "\n", + "[Test n+epsilon GSR](#Test-n+epsilon-GSR)\n", + "\n", + "[Test n+epsilon Multiplicative](#Test-n+epsilon-Multiplicative)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "aeb9bd2b", + "metadata": {}, + "outputs": [], + "source": [ + "cards = ['A1','F1','F2','G1','I1','I2','N1','N10','N2','N3','N4','N5','N6','N7','N8','N9','S1','S2']" + ] + }, + { + "cell_type": "markdown", + "id": "7a53b79a", + "metadata": {}, + "source": [ + "## Test 3n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "75a7366e", + "metadata": {}, + "outputs": [], + "source": [ + "curve_path = \"tests/test3n/curve.csv\"\n", + "point_path = \"tests/test3n/point_3n.csv\"\n", + "test3n = Test3n(curve_path,point_path)\n", + "test3n.existing_measurements(cards,\"ecdh\")\n", + "test3n.existing_measurements(cards,\"ecdsa\")\n", + "test3n.existing_measurements(cards,\"keygen\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "495f4854", + "metadata": {}, + "outputs": [], + "source": [ + "test3n.print_ecdh(\"N1\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "706ef56e", + "metadata": {}, + "outputs": [], + "source": [ + "test3n.print_keygen(\"N1\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "eb51121c", + "metadata": {}, + "outputs": [], + "source": [ + "test3n.print_ecdh(\"N1\")" + ] + }, + { + "cell_type": "markdown", + "id": "c0cad787", + "metadata": {}, + "source": [ + "## Test composite (inverse)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c7c5f56e", + "metadata": {}, + "outputs": [], + "source": [ + "curve_path = \"tests/testinverse/cofactor256p11_full.csv\"\n", + "point_path = \"tests/testinverse/point_11n.csv\"\n", + "testinverse = Testinverse(curve_path, point_path, 11)\n", + "testinverse.existing_measurements(cards,\"ecdh\")\n", + "testinverse.existing_measurements(cards,\"ecdsa\")\n", + "testinverse.existing_measurements(cards,\"keygen\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8397c88e", + "metadata": {}, + "outputs": [], + "source": [ + "testinverse.print_ecdh(\"N1\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "405df6fc", + "metadata": {}, + "outputs": [], + "source": [ + "testinverse.print_ecdsa(\"N1\",\"ecdsa_fixed_11\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2bc5803b", + "metadata": {}, + "outputs": [], + "source": [ + "testinverse.print_keygen(\"N1\")" + ] + }, + { + "cell_type": "markdown", + "id": "7a39d841", + "metadata": {}, + "source": [ + "## Test k=10" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b749a7d0", + "metadata": {}, + "outputs": [], + "source": [ + "# The test only makes sense for ecdh" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b197e324", + "metadata": {}, + "outputs": [], + "source": [ + "curve_path = \"tests/testk10/secp256r1.csv\"\n", + "point_path = \"tests/testk10/secgpoint.csv\"\n", + "testk10 = Testk10(curve_path, point_path, 10)\n", + "testk10.existing_measurements(cards,\"ecdh\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "92616fc3", + "metadata": {}, + "outputs": [], + "source": [ + "testk10.print_ecdh(\"N1\")" + ] + }, + { + "cell_type": "markdown", + "id": "741ae1f0-b943-4421-b936-30ae8ddaa1be", + "metadata": {}, + "source": [ + "## Test n+epsilon GSR" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "66833471", + "metadata": {}, + "outputs": [], + "source": [ + "# The test makes sense only for implementations of GSR (or BT bit-length fixing) \n", + "# that permit input parameters, including\n", + "\n", + "# ecdh: N6, N8, I1\n", + "# ecdsa: N1, N2, NN6, N8, N9, I2\n", + "# keygen: N1, N2 N6, N9, I2" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "eb2b8923-5977-4d73-b127-b2773bdde91e", + "metadata": {}, + "outputs": [], + "source": [ + "curve_path = \"tests/testdn/weakcurve_32_n_1.csv\"\n", + "point_path = \"tests/testdn/weakcurve_32_n_1_point.csv\"\n", + "realn_path = \"tests/testdn/realn.csv\"\n", + "\n", + "testepsilon = TestEpsilon_GSR(curve_path,point_path,realn_path)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "40dceab4", + "metadata": {}, + "outputs": [], + "source": [ + "testepsilon.recover_ecdsa(\"N1\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "fa3ecd8d", + "metadata": {}, + "outputs": [], + "source": [ + "testepsilon.recover_keygen(\"N1\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "adba1ff5-4235-4084-b1dd-ab206903bb24", + "metadata": {}, + "outputs": [], + "source": [ + "# N8 and I1 needed different parameters for ecdh\n", + "\n", + "curve_path = \"tests/testdn/weakcurve_32_n_good_gen.csv\"\n", + "point_path = \"tests/testdn/weakcurve_32_n_1_point.csv\"\n", + "realn_path = \"tests/testdn/realn.csv\"\n", + "\n", + "testepsilon = TestEpsilon_GSR(curve_path,point_path,realn_path)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "609ee23f", + "metadata": {}, + "outputs": [], + "source": [ + "testepsilon.recover_ecdh_plain(\"N8\")" + ] + }, + { + "cell_type": "markdown", + "id": "c4395ea6", + "metadata": {}, + "source": [ + "## Test n+epsilon Multiplicative" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "312885ab", + "metadata": {}, + "outputs": [], + "source": [ + "# The test makes sense only for implementations of GSR (or BT bit-length fixing) \n", + "# that permit input parameters, including\n", + "\n", + "# ecdh: N10\n", + "# ecdsa: N10 - strange behaviour, does not work " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "bab76405", + "metadata": {}, + "outputs": [], + "source": [ + "curve_path = \"tests/testdn/weakcurve_32_n_1.csv\"\n", + "point_path = \"tests/testdn/weakcurve_32_n_1_point.csv\"\n", + "realn_path = \"tests/testdn/realn.csv\"\n", + "\n", + "testepsilon = TestEpsilon_Multiplicative(curve_path,point_path,realn_path)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "76362134", + "metadata": {}, + "outputs": [], + "source": [ + "testepsilon.recover_ecdh_plain_size(\"N10\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4c9d9898", + "metadata": {}, + "outputs": [], + "source": [ + "testepsilon.compute_candidates(61,65)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "66de5424", + "metadata": {}, + "outputs": [], + "source": [ + "# does not work\n", + "# testepsilon.recover_ecdsa_size(\"N10\")" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "env", + "language": "python", + "name": "env" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.12" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/analysis/countermeasures/countermeasures/results/N10/testdn/ecdsa_n_2.csv 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-97;151320;146461;084d640cb50d1c4629c7026623a0ada0faafac5762222cce1e5e933a3e69b2ba;046ac2a2271f2de8437f339df079913f2b41d284678af67cb409d063da9419c3056fb9dc7bfb3d146de81f79bac064ac9376054a7f54741f91eccec294815ab764;2bc345cc91f6b17ca180beb2b5de274e1a384e9dc2f40de02eae4141a91f39d5;304502204a87e0337827812185e4ccdcd9a0414c7cf4b845a0a808702e2c79f429bf1372022100a886328050bf8e6c34eda4285fd8518594410b65805eaef03dc92a4947201e51;2de21d9511bb496191a1bf9faf9ba3578f5034d5b8b8d69ce03773862bb56f55;0 -98;150504;145242;084d640cb50d1c4629c7026623a0ada0faafac5762222cce1e5e933a3e69b2ba;046ac2a2271f2de8437f339df079913f2b41d284678af67cb409d063da9419c3056fb9dc7bfb3d146de81f79bac064ac9376054a7f54741f91eccec294815ab764;2bc345cc91f6b17ca180beb2b5de274e1a384e9dc2f40de02eae4141a91f39d5;3044022064a022299afc4b2fc3bf67dee94d0568971582e90ddad894fa57a1a61abb262b0220640f9e0ca7c86fb82d3e244569cfc374d82e0a34205dfc7e4cbde0e8a15a6c13;00818076cf78fcdb81fe24fe9da95cf392fdd98a04dd9019ac4abb11eb9470d174;0 -99;150718;145428;084d640cb50d1c4629c7026623a0ada0faafac5762222cce1e5e933a3e69b2ba;046ac2a2271f2de8437f339df079913f2b41d284678af67cb409d063da9419c3056fb9dc7bfb3d146de81f79bac064ac9376054a7f54741f91eccec294815ab764;2bc345cc91f6b17ca180beb2b5de274e1a384e9dc2f40de02eae4141a91f39d5;304402203d11120b92c447906f82dd9b32f8179f5fb319d25ec65d7719cf847a7a8e831b02204fc1d4a7a8d0d64548a85a17fc55223ba187bb4cb9ae49088121aa65acb63d09;29ab63c9fc3ac0673d9a8efb46ef87178453d29b8d0d72c9b1ddd2fd2b815544;0 diff --git a/analysis/countermeasures/countermeasures/results/N10/testdn/ecdsa_n_2.txt b/analysis/countermeasures/countermeasures/results/N10/testdn/ecdsa_n_2.txt deleted file mode 100644 index 5f18e48..0000000 --- a/analysis/countermeasures/countermeasures/results/N10/testdn/ecdsa_n_2.txt +++ /dev/null @@ -1,403 +0,0 @@ -Allocate Signature(ALG_ECDSA_SHA) object ┃ 66 ms ┃ OK (0x9000) -Allocate local keypair 256b ALG_EC_FP ┃ 83 ms ┃ OK (0x9000) -Set external curve parameters on local keypair ┃ 335 ms ┃ OK (0x9000) -Set external keypair parameters on local keypair ┃ 59 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 147 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 30 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 30 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 56 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 30 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 56 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 144 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 58 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 56 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 144 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 144 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 56 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 30 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 56 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 30 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 58 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 30 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 144 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 58 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 30 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 144 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 30 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 58 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 144 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 144 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 56 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 144 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 144 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 144 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 58 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 58 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 56 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 58 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 144 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 144 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 58 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 30 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 144 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 58 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 56 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 56 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 30 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 144 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 58 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 144 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 56 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 144 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 144 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 58 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 144 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 144 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 58 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 144 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 144 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 151 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 146 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 56 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) -Set external keypair parameters on local keypair ┃ 57 ms ┃ OK (0x9000) -Export keypair params from both keys of local keypair ┃ 29 ms ┃ OK (0x9000) -ALG_ECDSA_SHA signature with local keypair(provided data) ┃ 150 ms ┃ OK (0x9000) -ALG_ECDSA_SHA verification with local keypair(provided data) ┃ 145 ms ┃ fail (SIG_VERIFY_FAIL, 0x0ee1) diff --git a/analysis/countermeasures/countermeasures/results_sage.ipynb b/analysis/countermeasures/countermeasures/results_sage.ipynb deleted file mode 100644 index 92df739..0000000 --- a/analysis/countermeasures/countermeasures/results_sage.ipynb +++ /dev/null @@ -1,620 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": null, - "id": "e3313aa9-5cc6-47ff-8db0-b4419e1afb4d", - "metadata": {}, - "outputs": [], - "source": [ - "from hashlib import sha1\n", - "from pyasn1.codec.der.decoder import decode\n", - "from pyasn1.type.univ import Sequence\n", - "import re\n", - "\n", - "def parse_ecdsa_signature(signature_der):\n", - " decoded_signature, _ = decode(signature_der, asn1Spec=Sequence())\n", - " r = int(decoded_signature[0])\n", - " s = int(decoded_signature[1])\n", - " return r, s\n", - "\n", - "def sha(value):\n", - " h = hex(int(value))[2:]\n", - " if len(h)%2!=0:\n", - " h = \"0\"+h\n", - " bh = bytes.fromhex(h)\n", - " return int(sha1(bh).digest().hex(),16)\n", - "\n", - "\n", - "class CounterTest:\n", - "\n", - " def print_card_name(self, name):\n", - " print(name,\"#\"*10)\n", - "\n", - " def open_csv_result(self,filepath):\n", - " try:\n", - " with open(filepath) as f:\n", - " lines = f.readlines()[1:]\n", - " except FileNotFoundError:\n", - " print(\"Not measured\\n\")\n", - " return []\n", - " if len(lines)==0:\n", - " print(\"Something went wrong\\n\")\n", - " return []\n", - " print(f\"Number of runs: {len(lines)}\")\n", - " return [line.strip().split(\";\") for line in lines]\n", - "\n", - " def load_all_results(self,card,prefix):\n", - " lines = []\n", - " filepath = f\"results/{card}/{self.test}\"\n", - " pattern = rf\"^{prefix}(?:_\\d+)?.csv$\" #prefix and possibly and underscore with number\n", - " for file in os.listdir(filepath):\n", - " if re.match(pattern,file):\n", - " with open(os.path.join(filepath,file)) as f:\n", - " lines.extend(f.readlines()[1:])\n", - " if len(lines)==0:\n", - " print(\"Not measured or something went wrong\\n\")\n", - " return []\n", - " print(f\"Number of runs: {len(lines)}\")\n", - " return [line.strip().split(\";\") for line in lines]\n", - "\n", - " def load_csv_signatures(self,card,prefix):\n", - " lines = self.load_all_results(card,prefix)\n", - " sigs = []\n", - " for line in lines:\n", - " success,error,sig,valid,_,nonce_hex,key_hex,_,_,_,_,_ = line\n", - " sigs.append({\"success\":success, \"signature\":parse_ecdsa_signature(bytes.fromhex(sig)), \"nonce\": nonce_hex, \"key\":key_hex, \"valid\":valid})\n", - " return sigs\n", - "\n", - " def load_csv_ecdhs(self,card,prefix):\n", - " lines = self.load_all_results(card,prefix)\n", - " ecdhs = []\n", - " for line in lines:\n", - " success,error,secret,key,_,_,_,_,_ = line\n", - " ecdhs.append({\"success\":success, \"secret\":secret, \"key\":key})\n", - " return ecdhs\n", - "\n", - " def load_csv_keygens(self,card,prefix):\n", - " lines = self.load_all_results(card,prefix)\n", - " keygens = []\n", - " for line in lines:\n", - " success,error,key,point,_,_,_,_ = line\n", - " keygens.append({\"success\":success, \"key\":key, \"point\":point})\n", - " return keygens\n", - " \n", - "class Test3n(CounterTest):\n", - "\n", - "\n", - " def __init__(self,curve_prime,curve_full,point,key):\n", - " self.test = \"test3n\"\n", - " with open(curve_prime) as f:\n", - " p,a,b,x,y,n,_ = map(lambda x: int(x,16),f.read().split(\",\"))\n", - " self.n = n\n", - " self.curve = EllipticCurve(GF(p),[a,b])\n", - " self.prime_gen = self.curve(x,y)\n", - "\n", - " with open(curve_full) as f:\n", - " _,_,_,x,y,_,_ = map(lambda x: int(x,16),f.read().split(\",\"))\n", - " self.n3_gen = self.curve(x,y)\n", - " self.public = self.n3_gen\n", - " self.gen3 = n*self.n3_gen\n", - " \n", - " with open(key) as f:\n", - " self.k = int(f.read(),16)\n", - "\n", - "\n", - " \n", - "\n", - " def print_ecdh(self,card):\n", - " self.print_card_name(card)\n", - "\n", - " scalars = {self.k+i*self.n:f\"k+{i}*n\" for i in range(3)}\n", - " shas = {}\n", - " for scalar,s in scalars.items():\n", - " shas[sha((scalar*self.public)[0])] = scalar\n", - " \n", - " counts = {s:0 for l,s in scalars.items()}\n", - " secrets = [int(s[\"secret\"],16) for s in self.load_csv_ecdhs(card,\"ecdh\")]\n", - " N = len(secrets)\n", - " if not secrets:return\n", - " others = 0\n", - " for s in secrets:\n", - " if not s in shas:\n", - " others+=1\n", - " else:\n", - " counts[scalars[shas[s]]]+=1\n", - " for c,v in counts.items():\n", - " print(c,v)\n", - " print(\"others\",others)\n", - " print()\n", - "\n", - " def print_ecdsa(self,card, fixed_key = False):\n", - " self.print_card_name(card)\n", - " filename = f\"ecdsa_fixed\" if fixed_key else f\"ecdsa\"\n", - " sigs = self.load_csv_signatures(card,filename)\n", - " if not sigs:return\n", - "\n", - " N = len(sigs)\n", - " G = self.n3_gen\n", - " nG = self.gen3\n", - " counts = {j:{i:0 for i in range(3)} for j in range(3)}\n", - " others = 0\n", - " sigs_set = set()\n", - " for sig in sigs:\n", - " r, s = sig[\"signature\"]\n", - " r = r%self.n\n", - " sigs_set.add((r,s))\n", - " nonce = int(sig[\"nonce\"],16)\n", - " nonceG = nonce*G\n", - " values = {ZZ((nonceG+i*nG)[0])%self.n:i for i in range(3)}\n", - " if r in values:\n", - " counts[nonce%3][values[r]]+=1\n", - " # print(nonce%2,values[r])\n", - " else:\n", - " others+=1\n", - " for kmod,cnts in counts.items():\n", - " print(f\"For k mod 3 = {kmod}:\")\n", - " for c,v in cnts.items():\n", - " print(f\"\\t k+{c}*n\",v)\n", - " print(\"others\",others)\n", - " print(\"number of diff sigs\",len(sigs_set))\n", - " print()\n", - "\n", - "\n", - "\n", - " def print_keygen(self,card):\n", - " self.print_card_name(card)\n", - " counts = {j:{i:0 for i in range(3)} for j in range(3)}\n", - " keys = self.load_csv_keygens(card,\"keygen\")\n", - " if not keys:return\n", - "\n", - " others = 0\n", - " for line in keys:\n", - " pubW = line[\"point\"]\n", - " pubWx,pubWy = pubW[2:][:len(pubW)//2-1],pubW[2:][len(pubW)//2-1:]\n", - " pubWx,pubWy,k = map(lambda x: int(x,16),[pubWx,pubWy,line[\"key\"]])\n", - " scalars = {k+i*self.n:i for i in range(3)}\n", - " P = self.curve(pubWx,pubWy)\n", - " for scalar,s in scalars.items():\n", - " PP = scalar*self.n3_gen\n", - " if PP==P:\n", - " counts[scalar%3][s]+=1\n", - " break\n", - " else:\n", - " others+=1\n", - " N = len(keys)\n", - " for kmod,cnts in counts.items():\n", - " print(f\"For k mod 3 = {kmod}:\")\n", - " for c,v in cnts.items():\n", - " print(f\"\\t k+{c}*n\",v)\n", - " print(\"others\",others)\n", - " print()\n", - "\n", - "\n", - "class Testinverse(CounterTest):\n", - "\n", - " def __init__(self,curve,point,key,l):\n", - " self.l = l\n", - " self.test = \"testinverse\"\n", - " with open(curve) as f:\n", - " p,a,b,x,y,n,_ = map(lambda x: int(x,16),f.read().split(\",\"))\n", - " self.n = n\n", - " self.curve = EllipticCurve(GF(p),[a,b])\n", - " self.gen = self.curve(x,y)\n", - " self.public = self.gen\n", - " \n", - " with open(key) as f:\n", - " self.k = int(f.read(),16)\n", - "\n", - " \n", - " def print_ecdh(self,card):\n", - " self.print_card_name(card)\n", - " secrets_lines = self.load_csv_ecdhs(card,f\"ecdh_{self.l}\")\n", - " if not secrets_lines:return\n", - "\n", - " N = len(secrets_lines)\n", - " secrets = [int(line[\"secret\"],16) for line in secrets_lines]\n", - " print(\"Number of secrets as a set: \", len(set(secrets)),\"\\n\") \n", - " P = self.public\n", - " correct = 0\n", - " for line in secrets_lines:\n", - " secret,privS = map(lambda x: int(x,16),[line[\"secret\"],line[\"key\"]])\n", - " S = privS*P\n", - " if sha(S[0])==secret:\n", - " correct+=1\n", - " print(f\"Correct secrets: {correct}\\n\") \n", - " \n", - " \n", - " def print_ecdsa(self,card, fixed_key=False):\n", - " self.print_card_name(card)\n", - " filename = f\"ecdsa_fixed_{self.l}\" if fixed_key else f\"ecdsa_{self.l}\"\n", - " sigs_lines = self.load_csv_signatures(card,filename)\n", - " if not sigs_lines:return\n", - "\n", - " valid_sigs = [line for line in sigs_lines if line[\"valid\"]==\"1\"]\n", - " print(\"num of valid sigs (out of 1000)\",len(valid_sigs), f\"{100*float(len(valid_sigs)/1000)}%\")\n", - " print(f\"expected: {1-float(1/11)} (one inverse) or {1-float(1-(10/11)**2)} (two inverses) or {1-float(1-(10/11)**3)} (three inverses)\")\n", - " sigs_set = set(line[\"signature\"] for line in valid_sigs)\n", - " print(f\"num of diff sigs {len(sigs_set)}\\n\")\n", - " \n", - "\n", - " def print_keygen(self,card):\n", - " self.print_card_name(card)\n", - " key_lines = self.load_csv_keygens(card,f\"keygen_{self.l}\")\n", - " if not key_lines:return\n", - "\n", - " correct = 0\n", - " for line in key_lines:\n", - " privS = int(line[\"key\"],16)\n", - " P = privS*self.gen\n", - " correct += (P==self.public) \n", - " print(\"num of runs (out of 1000)\",correct, f\"{100*correct/1000}%\")\n", - " print() \n", - "\n", - "\n", - "class Testk10(CounterTest):\n", - "\n", - " def __init__(self, curve, point, key):\n", - " self.test = \"testk10\"\n", - " with open(curve) as f:\n", - " p,a,b,x,y,n,_ = map(lambda x: int(x,16),f.read().split(\",\"))\n", - " self.n = n\n", - " self.curve = EllipticCurve(GF(p),[a,b])\n", - " self.gen = self.curve(x,y)\n", - " with open(point) as f:\n", - " px,py = map(lambda x: int(x,16),f.read().split(\",\"))\n", - " self.public = self.curve(px,py)\n", - " \n", - " with open(key) as f:\n", - " self.k = int(f.read(),16)\n", - "\n", - " S = self.k*self.public\n", - " self.correct_result = sha(S[0])\n", - " \n", - "\n", - "\n", - " def print_testk10_stats(self, card):\n", - " self.print_card_name(card)\n", - " secrets_lines = self.load_csv_ecdhs(card,\"ecdh\")\n", - " if not secrets_lines:return\n", - " if len(lines)<1000:\n", - " print(f\"fail after {len(lines)} ecdhs\")\n", - " return\n", - " correct = 0\n", - " for line in secrets_lines:\n", - " if self.correct_result==int(line[\"secret\"],16):\n", - " correct+=1\n", - " print(f\"Correct secrets: {correct}\\n\") \n", - "\n", - "\n", - "\n", - "import cypari2\n", - "from tqdm import tqdm\n", - "\n", - "\n", - "def divisors(primes, powers):\n", - " for comb in itertools.product(*[range(power+1) for power in powers]):\n", - " value = 1\n", - " for prime, power in zip(primes, comb):\n", - " value *= prime**power\n", - " yield value\n", - "\n", - "def pari_factor(number):\n", - " pari = cypari2.Pari(256_000_000, 2_000_000_000)\n", - " factors = pari.factor(number)\n", - " primes = list(map(int, factors[0]))\n", - " powers = list(map(int, factors[1]))\n", - " return primes, powers\n", - "\n", - "def pari_dlog(a,b,p, P, G, real_n, facts_str):\n", - " pari = cypari2.Pari(256_000_000, 2_000_000_000)\n", - " e = pari.ellinit([a,b],p)\n", - " e[15][0] = real_n\n", - " facts = pari(facts_str)\n", - " dlog = pari.elllog(e, P, G, facts)\n", - " return int(dlog)\n", - "\n", - "\n", - "\n", - "class GSRmask(CounterTest):\n", - "\n", - " def __init__(self, curve, realn, point, key):\n", - " self.test = \"testdn\"\n", - " with open(curve) as f:\n", - " p,a,b,x,y,n,_ =map(lambda x: int(x,16),f.read().split(\",\"))\n", - " with open(realn) as f:\n", - " real_n = int(f.read(),16)\n", - " with open(point) as f:\n", - " px,py = map(lambda x: int(x,16),f.read().split(\",\"))\n", - " self.n = n\n", - " self.real_n = real_n\n", - " self.curve = EllipticCurve(GF(p),[a,b])\n", - " self.gen = self.curve(x,y)\n", - " self.public = self.curve(px,py)\n", - "\n", - " self.pari_real_n_facts = repr(pari.factor(real_n))\n", - " self.a = a\n", - " self.b = b\n", - " self.p = p\n", - "\n", - " \n", - "\n", - " def compute_mask(self,scalar,point_candidates,G):\n", - " ds = []\n", - " for P in point_candidates:\n", - " d = pari_dlog(self.a,self.b,self.p, [int(P[0]),int(P[1])], [int(G[0]),int(G[1])], self.real_n, self.pari_real_n_facts)\n", - " ds.append(d)\n", - " for dp in [d,self.real_n-d]:\n", - " dp = ZZ(dp)\n", - " scalar = ZZ(scalar)\n", - " if ((dp-scalar)%self.real_n)%(self.n-self.real_n)==0:\n", - " mask = ZZ(((dp-scalar)%self.real_n)/(self.n-self.real_n))\n", - " print(f\"Mask has {mask.nbits()} bits ({mask}), {scalar}, {dp}\")\n", - " return\n", - " \n", - " # return ds\n", - " print(\"No mask found\")\n", - " \n", - " \n", - " def recover_ecdsa(self,card, N = 3):\n", - " self.print_card_name(card)\n", - " sig_lines = self.load_csv_signatures(card,\"ecdsa\")\n", - " params = []\n", - " for line in sig_lines[:N]:\n", - " nonce = int(line[\"nonce\"],16)\n", - " # print(nonce)\n", - " r, s = line[\"signature\"]\n", - " r = r%self.n\n", - " candidates = []\n", - " rss = []\n", - " while r<self.p:\n", - " R = self.curve.lift_x(self.curve.base_field()(r))\n", - " candidates.append(R)\n", - " rss.append(r)\n", - " r+=self.n\n", - " ds = self.compute_mask(nonce,candidates,self.gen)\n", - " params.append((nonce,rss,ds))\n", - " # return params\n", - " print()\n", - " \n", - "\n", - "\n", - " def recover_keygen(self,card, N=3):\n", - " self.print_card_name(card)\n", - " keygen_lines = self.load_csv_keygens(card,\"keygen\")\n", - " for line in keygen_lines[:N]:\n", - " pubW,privS = line[\"point\"],line[\"key\"]\n", - " pubWx,pubWy = pubW[2:][:len(pubW)//2-1],pubW[2:][len(pubW)//2-1:]\n", - " pubWx,pubWy,privS = map(lambda x: int(x,16),[pubWx,pubWy,privS])\n", - " \n", - " P = self.curve(pubWx,pubWy)\n", - " self.compute_mask(privS,[P],self.gen)\n", - " print()\n", - "\n", - "\n", - " def recover_ecdh_plain(self,card, N = 3):\n", - " self.print_card_name(card)\n", - " secret_lines = self.load_csv_ecdhs(card,\"ecdh_randomkey\")\n", - " for line in secret_lines[:N]:\n", - " privS,secret = line[\"key\"],line[\"secret\"]\n", - " secret,privS = map(lambda x: int(x,16),[secret,privS])\n", - " R = self.curve.lift_x(self.curve.base_field()(secret))\n", - " self.compute_mask(privS,[R],self.public) \n", - " print()\n", - "\n", - "\n", - " def recover_ecdh_plain_good_gen(self,card, N=3):\n", - " self.print_card_name(card)\n", - " secret_lines = self.load_csv_ecdhs(card,\"ecdh_plain_good_gen\")\n", - "\n", - " for line in secret_lines[:N]:\n", - " privS,secret = line[\"key\"],line[\"secret\"]\n", - " secret,privS = map(lambda x: int(x,16),[secret,privS])\n", - " \n", - " R = self.curve.lift_x(self.curve.base_field()(secret))\n", - " self.compute_mask(privS,[R],self.public) \n", - " print()\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "aaebbefb-7667-4734-a5a5-811e4366a0dc", - "metadata": {}, - "outputs": [], - "source": [ - "cards = ['A1','F1','F2','G1','I1','I2','N1','N10','N2','N3','N4','N5','N6','N7','N8','N9','S1','S2']\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "1187d472-fed0-4ce7-83da-5b46a05b239a", - "metadata": {}, - "outputs": [], - "source": [ - "test3n = Test3n(\"tests/test3n/curve_prime_gen.csv\",\"tests/test3n/curve.csv\" ,\"tests/test3n/point_3n.csv\",\"tests/test3n/key.csv\")\n", - "\n", - "for card in cards:\n", - " test3n.print_ecdh(card)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "443a3ffe-1df6-41ed-a9e5-8556a94fb25d", - "metadata": {}, - "outputs": [], - "source": [ - "for card in cards:\n", - " test3n.print_ecdsa(card)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "c6a8b58c-367c-4126-9954-80f3a15a5cbf", - "metadata": {}, - "outputs": [], - "source": [ - "for card in cards:\n", - " test3n.print_ecdsa(card, fixed_key = True)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "66dc9934-ebaf-4d47-be18-8cf896545138", - "metadata": {}, - "outputs": [], - "source": [ - "for card in cards:\n", - " test3n.print_keygen(card)" - ] - }, - { - "cell_type": "markdown", - "id": "a1a02fac-a2b4-41fd-9de0-5eac60d2f864", - "metadata": {}, - "source": [ - "### Test inverse" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "7f4bc9c9-5c08-4618-a005-81bedc32a700", - "metadata": {}, - "outputs": [], - "source": [ - "testinverse = Testinverse(\"tests/testinverse/cofactor256p11_full.csv\",\"tests/testinverse/point_11n.csv\",\"tests/test3n/key.csv\",11)\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "c3aa5c3e-4134-4c83-83d6-7a4decd18f42", - "metadata": {}, - "outputs": [], - "source": [ - "for card in cards:\n", - " testinverse.print_ecdh(card)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "94487cd2-74c8-48e6-ac68-77fbb2d148ba", - "metadata": {}, - "outputs": [], - "source": [ - "for card in cards:\n", - " testinverse.print_ecdsa(card)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "7bd61560-6c8b-43a8-a293-6669aa84e7cc", - "metadata": {}, - "outputs": [], - "source": [ - "for card in cards:\n", - " testinverse.print_ecdsa(card, fixed_key = True)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "81907fe7-e793-49ad-b700-533ad456cc4c", - "metadata": {}, - "outputs": [], - "source": [ - "for card in cards:\n", - " testinverse.print_keygen(card)" - ] - }, - { - "cell_type": "markdown", - "id": "741ae1f0-b943-4421-b936-30ae8ddaa1be", - "metadata": {}, - "source": [ - "### Recover GSR mask" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "eb2b8923-5977-4d73-b127-b2773bdde91e", - "metadata": {}, - "outputs": [], - "source": [ - "gsrmask = GSRmask(\"tests/testdn/weakcurve_32_n_1.csv\",\"tests/testdn/realn.csv\", \"tests/testdn/weakcurve_32_n_1_point.csv\",\"tests/testdn/key.csv\")" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "ec3ad6c0-2f94-449e-ac34-c1850c590370", - "metadata": {}, - "outputs": [], - "source": [ - "for card in cards:\n", - " params = gsrmask.recover_keygen(card,N=1)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "21c2ec76-f125-4929-b787-dc18a12cae9c", - "metadata": {}, - "outputs": [], - "source": [ - "for card in cards:\n", - " params = gsrmask.recover_ecdsa(card,N=1)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "a1cffa63-d637-47f3-91f4-0261800bcfec", - "metadata": {}, - "outputs": [], - "source": [ - "for card in cards:\n", - " params = gsrmask.recover_ecdh_plain(card,N=1)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "adba1ff5-4235-4084-b1dd-ab206903bb24", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "SageMath 9.5", - "language": "sage", - "name": "sagemath" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.10.12" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/analysis/countermeasures/countermeasures/test_eval.py b/analysis/countermeasures/countermeasures/test_eval.py new file mode 100644 index 0000000..774318f --- /dev/null +++ b/analysis/countermeasures/countermeasures/test_eval.py @@ -0,0 +1,530 @@ +import io +import math +import random +import itertools +import warnings + +import cypari2 +from cysignals.alarm import alarm, AlarmInterrupt + +from matplotlib import pyplot as plt +from collections import Counter +from tqdm.auto import tqdm, trange + +from pyecsca.misc.cfg import TemporaryConfig +from pyecsca.misc.utils import TaskExecutor +from pyecsca.ec.mod import mod, RandomModAction +from pyecsca.ec.point import Point +from pyecsca.ec.model import ShortWeierstrassModel +from pyecsca.ec.params import load_params_ectester, get_params +from pyecsca.ec.mult import LTRMultiplier, RTLMultiplier, ScalarMultiplicationAction +from pyecsca.ec.context import local, DefaultContext +from pyecsca.ec.countermeasures import GroupScalarRandomization, AdditiveSplitting, MultiplicativeSplitting, EuclideanSplitting, BrumleyTuveri +from utils import * +import cypari2 +pari = cypari2.Pari(256_000_000, 2_000_000_000) + + + + +class CounterTest: + + + def __init__(self): + model = ShortWeierstrassModel() + self.coords = model.coordinates["projective"] + + add = self.coords.formulas["add-2007-bl"] + dbl = self.coords.formulas["dbl-2007-bl"] + ltr = LTRMultiplier(add, dbl, complete=False) + self.multiplier = ltr + + + def load_all_results(self,card,tag): + lines = [] + filepath = f"results/{card}/{self.test}" + if os.path.exists(filepath): + for file in os.listdir(filepath): + if tag in file: + with open(os.path.join(filepath,file)) as f: + lines.extend(f.readlines()[1:]) + + if len(lines)==0: + raise Exception("Not measured or something went wrong\n") + return [line.strip().split(";") for line in lines] + + def load_csv_signatures(self,card,tag): + lines = self.load_all_results(card,tag) + sigs = [] + for line in lines: + success,error,sig,valid,_,nonce_hex,key_hex,_,curve_csv,_,_,_ = line + try: + sigs.append({"success":success, "signature":parse_ecdsa_signature(bytes.fromhex(sig)), "nonce": int(nonce_hex,16), "key":int(key_hex,16), "valid":valid, "curve":curve_csv}) + except ValueError: + sigs.append({}) + return sigs + + def load_csv_ecdhs(self,card,tag): + lines = self.load_all_results(card,tag) + ecdhs = [] + for line in lines: + success,error,secret,key,_,curve_csv,_,_,_ = line + try: + ecdhs.append({"success":success, "secret":int(secret,16), "key":int(key,16), "curve":curve_csv}) + except ValueError: + ecdhs.append({}) + return ecdhs + + def load_csv_keygens(self,card,tag): + lines = self.load_all_results(card,tag) + keygens = [] + for line in lines: + success,error,key,point,curve_csv,_,_,_ = line + try: + keygens.append({"success":success, "key":int(key,16), "point":parse_04point(point), "curve":curve_csv}) + except ValueError: + keygens.append({}) + return keygens + + def existing_measurements(self,cards, tag): + print(f"Avaliable measurements for {tag} on:") + filtered = [] + for card in cards: + try: + assert self.load_all_results(card,tag) + filtered.append(card) + except: + continue + print(", ".join(filtered)) + print() + + + + + +class Test3n(CounterTest): + + + def __init__(self,curve_path,point_path): + + super().__init__() + self.test = "test3n" + self.params = load_params_ectester(curve_path, "projective") + self.point = csv_to_point(point_path, self.params, self.coords) + self.cofactor = 3 + self.n = self.params.order + + self.multiplier.init(self.params,self.point) + self.cofactor_point = self.multiplier.multiply(int(self.n)) + + + def find_mod(self, scalar, compare): + kP = self.multiplier.multiply(scalar) + for i in range(self.cofactor): + if compare(kP): + return i + kP = self.multiplier._add(kP,self.cofactor_point) + return -1 + + def print_statistics(self,remainders): + for krem, rems in remainders.items(): + print(f"k = {krem} mod {self.cofactor}, total = {sum(rems)}") + for i,count in enumerate(rems[:-1]): + print(f"k+{i}*n: {count}") + if rems[-1]: + print(f"remaining!: {rems[-1]}") + print() + + + + def print_ecdh(self,card, tag="ecdh"): + + self.multiplier.init(self.params,self.point) + remainders = {i:[0]*(self.cofactor+1) for i in range(self.cofactor)} + for ecdh_result in self.load_csv_ecdhs(card,tag): + key, secret = ecdh_result["key"],ecdh_result["secret"] + compare = lambda point: sha(point.to_affine().x)==secret + remainders[key%self.cofactor][self.find_mod(key,compare)]+=1 + self.print_statistics(remainders) + + + + def print_ecdsa(self,card,tag = "ecdsa"): + + self.multiplier.init(self.params,self.params.generator) + remainders = {i:[0]*(self.cofactor+1) for i in range(self.cofactor)} + for signature in self.load_csv_signatures(card,tag): + r,s = signature["signature"] + nonce = signature["nonce"] + compare = lambda point: int(point.to_affine().x)%self.n==r%self.n + remainders[key%self.cofactor][self.find_mod(nonce,compare)]+=1 + self.print_statistics(remainders) + + + def print_keygen(self,card,tag = "keygen"): + + self.multiplier.init(self.params,self.params.generator) + remainders = {i:[0]*(self.cofactor+1) for i in range(self.cofactor)} + for keygen in self.load_csv_keygens(card,tag): + xy, key = keygen["point"], keygen["key"] + genpoint = tuple_to_point(xy,self.params,self.coords) + compare = lambda point: point.to_affine()==genpoint.to_affine() + remainders[key%self.cofactor][self.find_mod(key,compare)]+=1 + self.print_statistics(remainders) + + + +class Testinverse(CounterTest): + + def __init__(self,curve_path,point_path,cofactor): + + + super().__init__() + self.test = "testinverse" + self.params = load_params_ectester(curve_path, "projective") + self.point = csv_to_point(point_path, self.params, self.coords) + self.cofactor = cofactor + self.n = self.params.order + + def print_statistics(self,total,correct): + print(f"Total: {total}") + print(f"Correct: {correct}") + print() + + def print_ecdh(self,card, tag = None): + if not tag: tag = f"ecdh_{self.cofactor}" + self.multiplier.init(self.params,self.point) + total,correct = 0,0 + for ecdh_result in self.load_csv_ecdhs(card,tag): + total+=1 + try: + secret,key = ecdh_result["secret"], ecdh_result["key"] + kP = self.multiplier.multiply(key).to_affine() + correct += (sha(kP.x)==secret) + except KeyError: + continue + self.print_statistics(total,correct) + + + + def print_ecdsa(self,card, tag = None): + if not tag: tag = f"ecdsa_{self.cofactor}" + sigs = self.load_csv_signatures(card,tag) + total,correct = 0,0 + for sig in sigs: + total+=1 + try: + correct += sig["valid"]=="1" + except KeyError: + continue + self.print_statistics(total,correct) + + + def print_keygen(self,card, tag = None): + if not tag: tag = f"keygen_{self.cofactor}" + self.multiplier.init(self.params,self.params.generator) + total,correct = 0,0 + for keygen in self.load_csv_keygens(card,f"keygen_{self.cofactor}"): + total+=1 + try: + xy, key = keygen["point"], keygen["key"] + genpoint = tuple_to_point(xy,self.params,self.coords).to_affine() + kP = self.multiplier.multiply(key).to_affine() + correct += (kP==genpoint) + except KeyError: + continue + self.print_statistics(total,correct) + + + + + +class Testk10(CounterTest): + + def __init__(self, curve_path, point_path, k): + super().__init__() + self.k = 10 + self.test = "testk10" + self.params = load_params_ectester(curve_path, "projective") + self.point = csv_to_point(point_path, self.params, self.coords) + self.n = self.params.order + + self.multiplier.init(self.params,self.point) + kP = self.multiplier.multiply(k).to_affine() + self.correct_secret = sha(kP.x) + + def print_statistics(self,total,correct): + print(f"Total computed: {total}") + print(f"Correct: {correct}") + print() + + def print_ecdh(self, card, tag = "ecdh"): + + total, correct = 0,0 + for ecdh_result in self.load_csv_ecdhs(card, tag): + total+=1 + if self.correct_secret==ecdh_result["secret"]: + correct+=1 + self.print_statistics(total,correct) + + + + +def divisors(primes, powers): + for comb in itertools.product(*[range(power+1) for power in powers]): + value = 1 + for prime, power in zip(primes, comb): + value *= prime**power + yield value + +def pari_factor(number): + pari = cypari2.Pari(256_000_000, 2_000_000_000) + factors = pari.factor(number) + primes = list(map(int, factors[0])) + powers = list(map(int, factors[1])) + return primes, powers + +def pari_dlog(e, P, G, real_n, facts_str): + e[15][0] = real_n + facts = pari(facts_str) + dlog = pari.elllog(e, P, G, facts) + return int(dlog) + + + +class TestEpsilon_GSR(CounterTest): + + def __init__(self, curve_path, point_path, realn_path): + + super().__init__() + self.test = "testdn" + + self.params = load_params_ectester(curve_path, "projective") + self.point = csv_to_point(point_path, self.params, self.coords) + self.n = self.params.order + + with open(realn_path) as f: + self.real_n = int(f.read(),16) + self.epsilon = self.n-self.real_n + + self.a = int(self.params.curve.parameters["a"]) + self.b = int(self.params.curve.parameters["b"]) + self.p = int(self.params.curve.prime) + self.x = int(self.params.generator.X) + self.y = int(self.params.generator.Y) + self.pari_real_n_facts = repr(pari.factor(self.real_n)) + self.pari_curve = pari.ellinit([self.a,self.b],self.p) + + + + + def compute_mask(self,scalar,point_candidates,G): + for P in point_candidates: + d = pari_dlog(self.pari_curve, [int(P.x),int(P.y)], [int(G.X),int(G.Y)], self.real_n, self.pari_real_n_facts) + for dp in [d,self.real_n-d]: + scalar = int(scalar) + if (dp-scalar)%self.epsilon==0: + mask = int((dp-scalar)//self.epsilon) + return mask + raise Exception("No mask found") + + def is_correct_curve(self,result): + p,a,b,x,y,n,h = map(lambda x: int(x,16), result["curve"].split(",")) + return (p,a,b,x,y,n) == (self.p,self.a,self.b,self.x,self.y,self.n) + + def print_statistics(self,masks): + for mask in masks: + print(f"Mask size: {mask.bit_length()}, mask value: {mask}") + print() + + def lift_x(self,x): + return self.params.curve.affine_lift_x(mod(x,self.p)).pop() + + + def test_masks(self,masks,scalars,point,results,compare): + + for mask,result,scalar in zip(masks,results,scalars): + masked_key = int(scalar+mask*self.params.order) + self.multiplier.init(self.params,point,bits= masked_key.bit_length()) + kP = self.multiplier.multiply(masked_key).to_affine() + assert compare(result,kP) + + + def recover_ecdh_plain(self,card, tag = "ecdh", N = 5): + filtered_results = [res for res in self.load_csv_ecdhs(card,tag) if self.is_correct_curve(res)] + masks,results,keys = [],[],[] + for ecdh_result in filtered_results[:N]: + key, secret = ecdh_result["key"],ecdh_result["secret"] + R = self.lift_x(secret) + masks.append(self.compute_mask(key,[R],self.point)) + results.append(R) + keys.append(key) + + compare = lambda p,q: p.x==q.x + self.test_masks(masks,keys,self.point,results,compare) + self.print_statistics(masks) + + + def recover_ecdsa(self,card, tag = "ecdsa", N = 5): + + filtered_results = [res for res in self.load_csv_signatures(card,tag) if self.is_correct_curve(res)] + masks,results,nonces = [],[],[] + for line in filtered_results[:N]: + nonce = line["nonce"] + r, s = line["signature"] + r = r%self.n + candidates = [self.lift_x(r)]+[self.lift_x(r+i*self.n) for i in range(1,(self.p-r)//self.n)] + mask = self.compute_mask(nonce,candidates,self.params.generator) + masks.append(mask) + nonces.append(nonce) + results.append(r) + + compare = lambda r,q: r%self.n==int(q.x)%self.n + self.test_masks(masks,nonces,self.params.generator,results,compare) + self.print_statistics(masks) + + + + def recover_keygen(self,card,tag="keygen", N=5): + filtered_results = [res for res in self.load_csv_keygens(card,tag) if self.is_correct_curve(res)] + masks,results,keys = [],[],[] + for keygen_result in filtered_results[:N]: + key, xy = keygen_result["key"],keygen_result["point"] + R = tuple_to_point(xy,self.params,self.coords).to_affine() + masks.append(self.compute_mask(key,[R],self.params.generator)) + keys.append(key) + results.append(R) + compare = lambda p,q: p==q + self.test_masks(masks,keys,self.params.generator,results,compare) + self.print_statistics(masks) + + + +class TestEpsilon_Multiplicative(CounterTest): + + def __init__(self, curve_path, point_path, realn_path): + + super().__init__() + self.test = "testdn" + + self.params = load_params_ectester(curve_path, "projective") + self.point = csv_to_point(point_path, self.params, self.coords) + self.n = self.params.order + + with open(realn_path) as f: + self.real_n = int(f.read(),16) + self.epsilon = self.n-self.real_n + + self.a = int(self.params.curve.parameters["a"]) + self.b = int(self.params.curve.parameters["b"]) + self.p = int(self.params.curve.prime) + self.x = int(self.params.generator.X) + self.y = int(self.params.generator.Y) + self.pari_real_n_facts = repr(pari.factor(self.real_n)) + self.pari_curve = pari.ellinit([self.a,self.b],self.p) + + # + self.candidates = None + + + def compute_t(self,scalar,point_candidates,G): + for P in point_candidates: + d = pari_dlog(self.pari_curve, [int(P.x),int(P.y)], [int(G.X),int(G.Y)], self.real_n, self.pari_real_n_facts) + for dp in [d,self.real_n-d]: + scalar = int(scalar) + if (dp-scalar)%self.epsilon==0: + mask = int((dp-scalar)//self.epsilon) + return mask + raise Exception("No mask found") + + def is_correct_curve(self,result): + p,a,b,x,y,n,h = map(lambda x: int(x,16), result["curve"].split(",")) + return (p,a,b,x,y,n) == (self.p,self.a,self.b,self.x,self.y,self.n) + + def print_statistics(self,masks): + for mask in masks: + print(f"Mask size: {mask.bit_length()}, mask value: {mask}") + print() + + def compute_candidates(self,lower_bound, upper_bound): + all_divisors = [list(divisors(*pari_factor(k+t*self.n))) for t,k in self.ts] + filtered = [] + for divs in all_divisors: + filtered.append([d for d in divs if lower_bound<=d.bit_length()<=upper_bound]) + print(f"Found {len(filtered[-1])} candidates") + self.candidates = filtered + + def plot_divisor_histogram(self,candidates): + candidate_bits = [c.bit_length() for c in candidates] + max_amount = max(candidate_amounts) + fig = plt.subplots() + plt.hist(candidate_amounts, range=(1, max_amount), align="left", density=True, bins=range(1, max_amount)) + plt.xlabel("number of candidate masks") + plt.ylabel("proportion") + plt.xticks(range(max_amount)) + plt.xlim(0, 20); + plt.show() + + def lift_x(self,x): + return self.params.curve.affine_lift_x(mod(x,self.p)).pop() + + + def test_ts(self,ts,scalars,point,results,compare): + + for t,result,scalar in zip(ts,results,scalars): + masked_key = int(scalar+t*self.params.order) + self.multiplier.init(self.params,point,bits= masked_key.bit_length()) + kP = self.multiplier.multiply(masked_key).to_affine() + assert compare(result,kP) + + + def recover_ecdh_plain_size(self,card, tag = "ecdh", N = 5): + filtered_results = [res for res in self.load_csv_ecdhs(card,tag) if self.is_correct_curve(res)] + ts,results,keys = [],[],[] + for ecdh_result in filtered_results[:N]: + key, secret = ecdh_result["key"],ecdh_result["secret"] + R = self.lift_x(secret) + ts.append(self.compute_t(key,[R],self.point)) + results.append(R) + keys.append(key) + + compare = lambda p,q: p.x==q.x + self.test_ts(ts,keys,self.point,results,compare) + self.ts = zip(ts,keys) + print(set(t.bit_length() for t in ts)) + + + def recover_ecdsa_size(self,card, tag = "ecdsa", N = 5): + + filtered_results = [res for res in self.load_csv_signatures(card,tag) if self.is_correct_curve(res)] + ts,results,nonces = [],[],[] + for line in filtered_results[:N]: + nonce = line["nonce"] + r, s = line["signature"] + r = r%self.n + candidates = [self.lift_x(r)]+[self.lift_x(r+i*self.n) for i in range(1,(self.p-r)//self.n)] + print(nonce,self.p,r,self.n,candidates) + t = self.compute_t(nonce,candidates,self.params.generator) + ts.append(t) + nonces.append(nonce) + results.append(r) + + compare = lambda r,q: r%self.n==int(q.x)%self.n + self.test_ts(ts,nonces,self.params.generator,results,compare) + self.ts = zip(ts,nonces) + print(set(t.bit_length() for t in ts)) + + + def recover_keygen_size(self,card,tag="keygen", N=5): + filtered_results = [res for res in self.load_csv_keygens(card,tag) if self.is_correct_curve(res)] + ts,results,keys = [],[],[] + for keygen_result in filtered_results[:N]: + key, xy = keygen_result["key"],keygen_result["point"] + R = tuple_to_point(xy,self.params,self.coords).to_affine() + masks.append(self.compute_t(key,[R],self.params.generator)) + ts.append(key) + results.append(R) + compare = lambda p,q: p==q + self.test_ts(ts,keys,self.params.generator,results,compare) + self.ts = zip(ts,keys) + print(set(t.bit_length() for t in ts)) diff --git a/analysis/countermeasures/countermeasures/utils.py b/analysis/countermeasures/countermeasures/utils.py index 0f9f441..a937c88 100644 --- a/analysis/countermeasures/countermeasures/utils.py +++ b/analysis/countermeasures/countermeasures/utils.py @@ -1,9 +1,13 @@ from pyecsca.ec.mult import DoubleAndAddMultiplier -from pyecsca.ec.signature import ECDSA_SHA1,SignatureResult +from pyecsca.ec.signature import ECDSA_SHA1, SignatureResult from pyecsca.ec.model import ShortWeierstrassModel from pyecsca.ec.mod import Mod, mod from pyecsca.ec.error import NonInvertibleError import os +from hashlib import sha1 +from pyasn1.codec.der.decoder import decode +from pyasn1.type.univ import Sequence +from pyecsca.ec.point import Point def get_point_bytes(path): with open(path, "r") as f: @@ -14,32 +18,57 @@ def get_point_bytes(path): point = bytes([0x04]) + bx + by return point +def tuple_to_point(tuple_int, params, coords): + x,y = tuple_int + return Point(X=mod(x, params.curve.prime),Y=mod(y, params.curve.prime),Z=mod(1, params.curve.prime), model=coords) + + +def csv_to_point(path, params, coords): + with open(path,"r") as f: + line = f.read() + x, y = line.split(",") + xy = int(x,16),int(y,16) + return tuple_to_point(xy, params,coords) + +def parse_04point(string): + assert string.startswith("04") + x,y = map(lambda x: int(x,16),[string[2:][:len(string)//2-1],string[2:][len(string)//2-1:]]) + return x,y def read_curve_params(path): with open(path) as f: return f.read().strip() -def serialize_ecdh_response(ecdhresponse,curve,point,key): + +def serialize_ecdh_response(ecdhresponse, curve, point, key): error = str(int(ecdhresponse.error)) - params = ",".join(map(lambda x: x.hex(),ecdhresponse.params)) + params = ",".join(map(lambda x: x.hex(), ecdhresponse.params)) apdu = ecdhresponse.resp.data.hex() secret = ecdhresponse.secret.hex() success = str(int(ecdhresponse.success)) - sws = ",".join(map(str,ecdhresponse.sws)) + sws = ",".join(map(str, ecdhresponse.sws)) point = point.hex() key = hex(key) - return ";".join([success,error,secret,key,point,curve,params,apdu,sws]) + return ";".join([success, error, secret, key, point, curve, params, apdu, sws]) + -def recover_nonce(params,data,key,point_bytes,signature_result): +def recover_nonce(params, data, key, point_bytes, signature_result): point = params.curve.decode_point(point_bytes) model = ShortWeierstrassModel().coordinates["projective"] - sig = ECDSA_SHA1(DoubleAndAddMultiplier(model.formulas["add-2007-bl"],model.formulas["dbl-2007-bl"]),params.to_coords(model),pubkey=point.to_model(model, params.curve.to_coords(model)),privkey=key) + sig = ECDSA_SHA1( + DoubleAndAddMultiplier( + model.formulas["add-2007-bl"], model.formulas["dbl-2007-bl"] + ), + params.to_coords(model), + pubkey=point.to_model(model, params.curve.to_coords(model)), + privkey=key, + ) digest = sig.hash_algo(data).digest() z = int.from_bytes(digest, byteorder="big") if len(digest) * 8 > sig.params.order.bit_length(): z >>= len(digest) * 8 - sig.params.order.bit_length() - r,s = signature_result.r, signature_result.s - s = mod(int(s),sig.params.order) + r, s = signature_result.r, signature_result.s + s = mod(int(s), sig.params.order) r = mod(int(r), sig.params.order) try: nonce = s.inverse() * (mod(z, sig.params.order) + r * sig.privkey) @@ -48,62 +77,98 @@ def recover_nonce(params,data,key,point_bytes,signature_result): sig.mult.init(sig.params, sig.params.generator) point = sig.mult.multiply(int(nonce)) affine_point = point.to_affine() - #assert r == mod(int(affine_point.x), sig.params.order) + # assert r == mod(int(affine_point.x), sig.params.order) return nonce -def serialize_ecdsa_response(response,data,domainparams,key,curve_csv,point_bytes,valid = None): +def serialize_ecdsa_response( + response, data, domainparams, key, curve_csv, point_bytes, valid=None +): error = str(int(response.error)) - params = ",".join(map(lambda x: x.hex(),response.params)) + params = ",".join(map(lambda x: x.hex(), response.params)) apdu = response.resp.data.hex() signature = response.signature.hex() success = str(int(response.success)) - sws = ",".join(map(str,response.sws)) + sws = ",".join(map(str, response.sws)) point_bytes_hex = point_bytes.hex() key_hex = hex(key) data_hex = data.hex() - nonce = recover_nonce(domainparams,data,key,point_bytes,SignatureResult.from_DER(response.signature)) + nonce = recover_nonce( + domainparams, + data, + key, + point_bytes, + SignatureResult.from_DER(response.signature), + ) nonce_hex = hex(int(nonce)) valid_str = "" if valid is None else str(valid) - return ";".join([success,error,signature,valid_str,data_hex,nonce_hex,key_hex,point_bytes_hex,curve_csv,params,apdu,sws]) + return ";".join( + [ + success, + error, + signature, + valid_str, + data_hex, + nonce_hex, + key_hex, + point_bytes_hex, + curve_csv, + params, + apdu, + sws, + ] + ) -def serialize_keygen_response(response,key,curve_csv,point_bytes): + +def serialize_keygen_response(response, key, curve_csv, point_bytes): error = str(int(response.error)) - params = ",".join(map(lambda x: x.hex(),response.params)) + params = ",".join(map(lambda x: x.hex(), response.params)) apdu = response.resp.data.hex() success = str(int(response.success)) - sws = ",".join(map(str,response.sws)) + sws = ",".join(map(str, response.sws)) point_bytes_hex = point_bytes.hex() key_hex = hex(key) - return ";".join([success,error,key_hex,point_bytes_hex,curve_csv,params,apdu,sws]) + return ";".join( + [success, error, key_hex, point_bytes_hex, curve_csv, params, apdu, sws] + ) -def save_ecdh(card,test): - header = "success;error;secret[SHA1];priv;pub;curve;params;apdu;sws" - filename = f"results/{card}/{test}/ecdh.csv" +def safe_save(header, result_lines, filename): if os.path.isfile(filename): - print("Measurement already exists") - with open(filename,"w") as f: + print(f"Measurement already exists ({filename})") + return + tmp = filename + ".tmp" + with open(tmp, "w") as f: f.write(f"{header}\n") for line in result_lines: f.write(f"{line}\n") + os.rename(tmp, filename) + + +def save_ecdh(result_lines, filename): + header = "success;error;secret[SHA1];priv;pub;curve;params;apdu;sws" + safe_save(header, result_lines, filename) + -def save_ecdsa(card,test): +def save_ecdsa(result_lines, filename): header = "success;error;signature;valid;data;nonce;priv;pub;curve;params;apdu;sws" - filename = f"results/{card}/{test}/ecdsa.csv" - if os.path.isfile(filename): - print("Measurement already exists") - with open(filename,"w") as f: - f.write(f"{header}\n") - for line in result_lines: - f.write(f"{line}\n") + safe_save(header, result_lines, filename) + -def save_keygen(card,test): +def save_keygen(result_lines, filename): header = "success;error;priv;pub;curve;params;apdu;sws" - filename = f"results/{card}/{test}/keygen.csv" - if os.path.isfile(filename): - print("Measurement already exists") - with open(filename,"w") as f: - f.write(f"{header}\n") - for line in result_lines: - f.write(f"{line}\n") + safe_save(header, result_lines, filename) + + +def parse_ecdsa_signature(signature_der): + decoded_signature, _ = decode(signature_der, asn1Spec=Sequence()) + r = int(decoded_signature[0]) + s = int(decoded_signature[1]) + return r, s + +def sha(value): + h = hex(int(value))[2:] + if len(h)%2!=0: + h = "0"+h + bh = bytes.fromhex(h) + return int(sha1(bh).digest().hex(),16) |