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ansip224k1

224-bit prime field Weierstrass curve.
Also known as: secp224k1
y2x3+ax+by^2 \equiv x^3 + ax + b

Parameters

NameValue
p0xfffffffffffffffffffffffffffffffffffffffffffffffeffffe56d
a0x0
b0x5
G(0xa1455b334df099df30fc28a169a467e9e47075a90f7e650eb6b7a45c, 0x7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5)
n0x010000000000000000000000000001dce8d2ec6184caf0a971769fb1f7
h0x1

Characteristics

  • OID:
    1.3.132.0.32

SAGE

p = 0xfffffffffffffffffffffffffffffffffffffffffffffffeffffe56d
K = GF(p)
a = K(0x0)
b = K(0x5)
E = EllipticCurve(K, (a, b))
G = E(0xa1455b334df099df30fc28a169a467e9e47075a90f7e650eb6b7a45c, 0x7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5)
E.set_order(0x010000000000000000000000000001dce8d2ec6184caf0a971769fb1f7 * 0x1)

PARI/GP

p = 0xfffffffffffffffffffffffffffffffffffffffffffffffeffffe56d
a = Mod(0x0, p)
b = Mod(0x5, p)
E = ellinit([a, b])
E[16][1] = 0x010000000000000000000000000001dce8d2ec6184caf0a971769fb1f7 * 0x1
G = [Mod(0xa1455b334df099df30fc28a169a467e9e47075a90f7e650eb6b7a45c, p), Mod(0x7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5, p)]

JSON

{
"name": "ansip224k1",
"desc": "",
"oid": "1.3.132.0.32",
"form": "Weierstrass",
"field": {
"type": "Prime",
"p": "0xfffffffffffffffffffffffffffffffffffffffffffffffeffffe56d",
"bits": 224
},
"params": {
"a": {
"raw": "0x0"
},
"b": {
"raw": "0x5"
}
},
"generator": {
"x": {
"raw": "0xa1455b334df099df30fc28a169a467e9e47075a90f7e650eb6b7a45c"
},
"y": {
"raw": "0x7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5"
}
},
"order": "0x010000000000000000000000000001dce8d2ec6184caf0a971769fb1f7",
"cofactor": "0x1",
"aliases": [
"secg/secp224k1"
]
}

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