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ansip192k1

192-bit prime field Weierstrass curve.
Also known as: secp192k1
y2x3+ax+by^2 \equiv x^3 + ax + b

Parameters

NameValue
p0xfffffffffffffffffffffffffffffffffffffffeffffee37
a0x0
b0x3
G(0xdb4ff10ec057e9ae26b07d0280b7f4341da5d1b1eae06c7d, 0x9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d)
n0xfffffffffffffffffffffffe26f2fc170f69466a74defd8d
h0x1

Characteristics


SAGE

p = 0xfffffffffffffffffffffffffffffffffffffffeffffee37
K = GF(p)
a = K(0x0)
b = K(0x3)
E = EllipticCurve(K, (a, b))
G = E(0xdb4ff10ec057e9ae26b07d0280b7f4341da5d1b1eae06c7d, 0x9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d)
E.set_order(0xfffffffffffffffffffffffe26f2fc170f69466a74defd8d * 0x1)

PARI/GP

p = 0xfffffffffffffffffffffffffffffffffffffffeffffee37
a = Mod(0x0, p)
b = Mod(0x3, p)
E = ellinit([a, b])
E[16][1] = 0xfffffffffffffffffffffffe26f2fc170f69466a74defd8d * 0x1
G = [Mod(0xdb4ff10ec057e9ae26b07d0280b7f4341da5d1b1eae06c7d, p), Mod(0x9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d, p)]

JSON

{
"name": "ansip192k1",
"desc": "",
"oid": "1.3.132.0.31",
"form": "Weierstrass",
"field": {
"type": "Prime",
"p": "0xfffffffffffffffffffffffffffffffffffffffeffffee37",
"bits": 192
},
"params": {
"a": {
"raw": "0x0"
},
"b": {
"raw": "0x3"
}
},
"generator": {
"x": {
"raw": "0xdb4ff10ec057e9ae26b07d0280b7f4341da5d1b1eae06c7d"
},
"y": {
"raw": "0x9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d"
}
},
"order": "0xfffffffffffffffffffffffe26f2fc170f69466a74defd8d",
"cofactor": "0x1",
"aliases": [
"secg/secp192k1"
]
}