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Diffstat (limited to 'README.md')
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1 files changed, 22 insertions, 1 deletions
@@ -18,7 +18,7 @@ Tool for generating Elliptic curve domain parameters. - `--anomalous` Generate an anomalous curve (of trace one, with field order equal to curve order). - `--supersingular` Generate a supersingular curve. - `-i / --invalid` Generate a set of invalid curves, for a given curve (using Invalid curve algorithm). - - `-n / --order=ORDER` Generate a curve with given `ORDER` (using Complex Multiplication). + - `-n / --order=ORDER` Generate a curve with given `ORDER` (using Complex Multiplication), order can be a comma-separated(no spaces) list of factors. - `-s / --ansi[=SEED]` Generate a curve from `SEED` (ANSI X9.62 verifiable procedure). - `-b / --brainpool[=SEED]`Generate a curve using the Brainpool verifiably pseudorandom algorithm from the original paper. - `--brainpool-rfc[=SEED]` Generate a curve using the Brainpool verifiably pseudorandom algorithm as per RFC 5639. @@ -98,6 +98,27 @@ Generate a prime field, uniquely generated, prime order curve, don't ask for inp ] } +Generate a prime field curve with given order (given as a list of factors) of size 128 bits and do not output any points on subgroups: + + > ecgen --fp -n 7,43,83,503,653,823,863,887,1019,1279,2011,2311,2381,2957 --points=none 128 + [{ + "field": { + "p": "0xa5dad2cb65b65ab89ed2248be2971c0d" + }, + "a": "0x2407ec02a74565af4952f552fee14588", + "b": "0x5e80456d719dcb64df00923e8b7aa726", + "order": "0xa5dad2cb65b65ab704d75427e1e4f81b", + "subgroups": [ + { + "x": "0x3219e70cb3b557dd8f8ddf9e6264a28d", + "y": "0x0aa1274c0272f13411833fd7eb7e86d8", + "order": "0xa5dad2cb65b65ab704d75427e1e4f81b", + "cofactor": "0x1" + } + ] + }] + + Generate a prime field, uniquely generated random curve, of size 192 bits, also display its metadata: > ecgen --fp -r -u --metadata 192 |