Skip to main content

Standard curve database

Search

id-GostR3410-2001-CryptoPro-C-ParamSet

256-bit prime field Weierstrass curve.

RFC4357


y2x3+ax+by^2 \equiv x^3 + ax + b

Parameters

NameValue
p0x9b9f605f5a858107ab1ec85e6b41c8aacf846e86789051d37998f7b9022d759b
a0x9b9f605f5a858107ab1ec85e6b41c8aacf846e86789051d37998f7b9022d7598
b0x805a
G(0x00, 0x41ece55743711a8c3cbf3783cd08c0ee4d4dc440d4641a8f366e550dfdb3bb67)
n0x9b9f605f5a858107ab1ec85e6b41c8aa582ca3511eddfb74f02f3a6598980bb9
h0x1


SAGE

p = 0x9b9f605f5a858107ab1ec85e6b41c8aacf846e86789051d37998f7b9022d759b
K = GF(p)
a = K(0x9b9f605f5a858107ab1ec85e6b41c8aacf846e86789051d37998f7b9022d7598)
b = K(0x805a)
E = EllipticCurve(K, (a, b))
G = E(0x00, 0x41ece55743711a8c3cbf3783cd08c0ee4d4dc440d4641a8f366e550dfdb3bb67)
E.set_order(0x9b9f605f5a858107ab1ec85e6b41c8aa582ca3511eddfb74f02f3a6598980bb9 * 0x1)

PARI/GP

p = 0x9b9f605f5a858107ab1ec85e6b41c8aacf846e86789051d37998f7b9022d759b
a = Mod(0x9b9f605f5a858107ab1ec85e6b41c8aacf846e86789051d37998f7b9022d7598, p)
b = Mod(0x805a, p)
E = ellinit([a, b])
E[16][1] = 0x9b9f605f5a858107ab1ec85e6b41c8aa582ca3511eddfb74f02f3a6598980bb9 * 0x1
G = [Mod(0x00, p), Mod(0x41ece55743711a8c3cbf3783cd08c0ee4d4dc440d4641a8f366e550dfdb3bb67, p)]

JSON

{
"name": "id-GostR3410-2001-CryptoPro-C-ParamSet",
"desc": "RFC4357",
"form": "Weierstrass",
"field": {
"type": "Prime",
"p": "0x9b9f605f5a858107ab1ec85e6b41c8aacf846e86789051d37998f7b9022d759b",
"bits": 256
},
"params": {
"a": {
"raw": "0x9b9f605f5a858107ab1ec85e6b41c8aacf846e86789051d37998f7b9022d7598"
},
"b": {
"raw": "0x805a"
}
},
"generator": {
"x": {
"raw": "0x00"
},
"y": {
"raw": "0x41ece55743711a8c3cbf3783cd08c0ee4d4dc440d4641a8f366e550dfdb3bb67"
}
},
"order": "0x9b9f605f5a858107ab1ec85e6b41c8aa582ca3511eddfb74f02f3a6598980bb9",
"cofactor": "0x1"
}

© 2020 Jan Jancar | Built with Dox theme for Gatsby