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| author | J08nY | 2020-08-08 21:44:32 +0200 |
|---|---|---|
| committer | J08nY | 2020-08-08 21:44:32 +0200 |
| commit | b8c478d15cafcc08f4ea47ccf583b693fa017bbe (patch) | |
| tree | c540c5ea658296f996c3e09c0052b0a6c8fcbb23 /nums | |
| parent | 7991278b3ff953a83bf7f7a91c22640597caaa19 (diff) | |
| download | std-curves-b8c478d15cafcc08f4ea47ccf583b693fa017bbe.tar.gz std-curves-b8c478d15cafcc08f4ea47ccf583b693fa017bbe.tar.zst std-curves-b8c478d15cafcc08f4ea47ccf583b693fa017bbe.zip | |
Add indirection to field elements (for GraphQL type bs).
Diffstat (limited to 'nums')
| -rw-r--r-- | nums/curves.json | 320 |
1 files changed, 184 insertions, 136 deletions
diff --git a/nums/curves.json b/nums/curves.json index 2a593b2..fad62ca 100644 --- a/nums/curves.json +++ b/nums/curves.json @@ -1,138 +1,186 @@ { - "name": "NUMS", - "desc": "Microsoft Nothing Up My Sleeve (NUMS) curves from: <https://eprint.iacr.org/2014/130> and <https://tools.ietf.org/html/draft-black-numscurves-02>", - "curves": [ - { - "form": "Weierstrass", - "name": "numsp256d1", - "category": "nums", - "desc": "", - "oid": "", - "field": { - "type": "Prime", - "p": "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff43", - "bits": 256 - }, - "params": { - "a": "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff40", - "b": "0x25581" - }, - "order": "0xffffffffffffffffffffffffffffffffe43c8275ea265c6020ab20294751a825", - "cofactor": "0x01", - "generator": { - "x": "0x01", - "y": "0x696f1853c1e466d7fc82c96cceeedd6bd02c2f9375894ec10bf46306c2b56c77" - } - }, - { - "form": "TwistedEdwards", - "name": "numsp256t1", - "category": "nums", - "desc": "", - "oid": "", - "field": { - "type": "Prime", - "p": "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff43", - "bits": 256 - }, - "params": { - "a": "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff42", - "d": "0x3bee" - }, - "order": "0x3fffffffffffffffffffffffffffffffbe6aa55ad0a6bc64e5b84e6f1122b4ad", - "cofactor": "0x04", - "generator": { - "x": "0x0d", - "y": "0x7d0ab41e2a1276dba3d330b39fa046bfbe2a6d63824d303f707f6fb5331cadba" - } - }, - { - "form": "Weierstrass", - "name": "numsp384d1", - "category": "nums", - "desc": "", - "oid": "", - "field": { - "type": "Prime", - "p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffec3", - "bits": 384 - }, - "params": { - "a": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffec0", - "b": "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff77bb" - }, - "order": "0xffffffffffffffffffffffffffffffffffffffffffffffffd61eaf1eeb5d6881beda9d3d4c37e27a604d81f67b0e61b9", - "cofactor": "0x01", - "generator": { - "x": "0x02", - "y": "0x3c9f82cb4b87b4dc71e763e0663e5dbd8034ed422f04f82673330dc58d15ffa2b4a3d0bad5d30f865bcbbf503ea66f43" - } - }, - { - "form": "TwistedEdwards", - "name": "numsp384t1", - "category": "nums", - "desc": "", - "oid": "", - "field": { - "type": "Prime", - "p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffec3", - "bits": 384 - }, - "params": { - "a": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffec2", - "d": "0x5158a" - }, - "order": "0x3fffffffffffffffffffffffffffffffffffffffffffffffecd7d11ed5a259a25a13a0458e39f4e451d6d71f70426e25", - "cofactor": "0x04", - "generator": { - "x": "0x08", - "y": "0x749cdaba136ce9b65bd4471794aa619daa5c7b4c930bff8ebd798a8ae753c6d72f003860febabad534a4acf5fa7f5bee" - } - }, - { - "form": "Weierstrass", - "name": "numsp512d1", - "category": "nums", - "desc": "", - "oid": "", - "field": { - "type": "Prime", - "p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc7", - "bits": 512 - }, - "params": { - "a": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc4", - "b": "0x1d99b" - }, - "order": "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff5b3ca4fb94e7831b4fc258ed97d0bdc63b568b36607cd243ce153f390433555d", - "cofactor": "0x01", - "generator": { - "x": "0x02", - "y": "0x1c282eb23327f9711952c250ea61ad53fcc13031cf6dd336e0b9328433afbdd8cc5a1c1f0c716fdc724dde537c2b0adb00bb3d08dc83755b205cc30d7f83cf28" - } - }, - { - "form": "TwistedEdwards", - "name": "numsp512t1", - "category": "nums", - "desc": "", - "oid": "", - "field": { - "type": "Prime", - "p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc7", - "bits": 512 - }, - "params": { - "a": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc6", - "d": "0x9baa8" - }, - "order": "0x3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa7e50809efdabbb9a624784f449545f0dcea5ff0cb800f894e78d1cb0b5f0189", - "cofactor": "0x04", - "generator": { - "x": "0x20", - "y": "0x7d67e841dc4c467b605091d80869212f9ceb124bf726973f9ff048779e1d614e62ae2ece5057b5dad96b7a897c1d72799261134638750f4f0cb91027543b1c5e" - } - } - ] + "name": "NUMS", + "desc": "Microsoft Nothing Up My Sleeve (NUMS) curves from: <https://eprint.iacr.org/2014/130> and <https://tools.ietf.org/html/draft-black-numscurves-02>", + "curves": [ + { + "form": "Weierstrass", + "name": "numsp256d1", + "category": "nums", + "desc": "", + "oid": "", + "field": { + "type": "Prime", + "p": "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff43", + "bits": 256 + }, + "params": { + "a": { + "value": "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff40" + }, + "b": { + "value": "0x25581" + } + }, + "order": "0xffffffffffffffffffffffffffffffffe43c8275ea265c6020ab20294751a825", + "cofactor": "0x01", + "generator": { + "x": { + "value": "0x01" + }, + "y": { + "value": "0x696f1853c1e466d7fc82c96cceeedd6bd02c2f9375894ec10bf46306c2b56c77" + } + } + }, + { + "form": "TwistedEdwards", + "name": "numsp256t1", + "category": "nums", + "desc": "", + "oid": "", + "field": { + "type": "Prime", + "p": "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff43", + "bits": 256 + }, + "params": { + "a": { + "value": "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff42" + }, + "d": { + "value": "0x3bee" + } + }, + "order": "0x3fffffffffffffffffffffffffffffffbe6aa55ad0a6bc64e5b84e6f1122b4ad", + "cofactor": "0x04", + "generator": { + "x": { + "value": "0x0d" + }, + "y": { + "value": "0x7d0ab41e2a1276dba3d330b39fa046bfbe2a6d63824d303f707f6fb5331cadba" + } + } + }, + { + "form": "Weierstrass", + "name": "numsp384d1", + "category": "nums", + "desc": "", + "oid": "", + "field": { + "type": "Prime", + "p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffec3", + "bits": 384 + }, + "params": { + "a": { + "value": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffec0" + }, + "b": { + "value": "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff77bb" + } + }, + "order": "0xffffffffffffffffffffffffffffffffffffffffffffffffd61eaf1eeb5d6881beda9d3d4c37e27a604d81f67b0e61b9", + "cofactor": "0x01", + "generator": { + "x": { + "value": "0x02" + }, + "y": { + "value": "0x3c9f82cb4b87b4dc71e763e0663e5dbd8034ed422f04f82673330dc58d15ffa2b4a3d0bad5d30f865bcbbf503ea66f43" + } + } + }, + { + "form": "TwistedEdwards", + "name": "numsp384t1", + "category": "nums", + "desc": "", + "oid": "", + "field": { + "type": "Prime", + "p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffec3", + "bits": 384 + }, + "params": { + "a": { + "value": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffec2" + }, + "d": { + "value": "0x5158a" + } + }, + "order": "0x3fffffffffffffffffffffffffffffffffffffffffffffffecd7d11ed5a259a25a13a0458e39f4e451d6d71f70426e25", + "cofactor": "0x04", + "generator": { + "x": { + "value": "0x08" + }, + "y": { + "value": "0x749cdaba136ce9b65bd4471794aa619daa5c7b4c930bff8ebd798a8ae753c6d72f003860febabad534a4acf5fa7f5bee" + } + } + }, + { + "form": "Weierstrass", + "name": "numsp512d1", + "category": "nums", + "desc": "", + "oid": "", + "field": { + "type": "Prime", + "p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc7", + "bits": 512 + }, + "params": { + "a": { + "value": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc4" + }, + "b": { + "value": "0x1d99b" + } + }, + "order": "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff5b3ca4fb94e7831b4fc258ed97d0bdc63b568b36607cd243ce153f390433555d", + "cofactor": "0x01", + "generator": { + "x": { + "value": "0x02" + }, + "y": { + "value": "0x1c282eb23327f9711952c250ea61ad53fcc13031cf6dd336e0b9328433afbdd8cc5a1c1f0c716fdc724dde537c2b0adb00bb3d08dc83755b205cc30d7f83cf28" + } + } + }, + { + "form": "TwistedEdwards", + "name": "numsp512t1", + "category": "nums", + "desc": "", + "oid": "", + "field": { + "type": "Prime", + "p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc7", + "bits": 512 + }, + "params": { + "a": { + "value": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc6" + }, + "d": { + "value": "0x9baa8" + } + }, + "order": "0x3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa7e50809efdabbb9a624784f449545f0dcea5ff0cb800f894e78d1cb0b5f0189", + "cofactor": "0x04", + "generator": { + "x": { + "value": "0x20" + }, + "y": { + "value": "0x7d67e841dc4c467b605091d80869212f9ceb124bf726973f9ff048779e1d614e62ae2ece5057b5dad96b7a897c1d72799261134638750f4f0cb91027543b1c5e" + } + } + } + ] }
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