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wap-wsg-idm-ecid-wtls12

224-bit prime field Weierstrass curve.
Also known as: secp224r1P-224ansip224r1
y2x3+ax+by^2 \equiv x^3 + ax + b

Parameters

NameValue
p0xffffffffffffffffffffffffffffffff000000000000000000000001
a0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe
b0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4
G(0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21, 0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34)
n0xffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d
h0x1

Characteristics

  • OID:
    2.23.43.1.4.12

SAGE

p = 0xffffffffffffffffffffffffffffffff000000000000000000000001
K = GF(p)
a = K(0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe)
b = K(0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4)
E = EllipticCurve(K, (a, b))
G = E(0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21, 0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34)
E.set_order(0xffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d * 0x1)

PARI/GP

p = 0xffffffffffffffffffffffffffffffff000000000000000000000001
a = Mod(0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe, p)
b = Mod(0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4, p)
E = ellinit([a, b])
E[16][1] = 0xffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d * 0x1
G = [Mod(0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21, p), Mod(0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34, p)]

JSON

{
"name": "wap-wsg-idm-ecid-wtls12",
"desc": "",
"oid": "2.23.43.1.4.12",
"form": "Weierstrass",
"field": {
"type": "Prime",
"p": "0xffffffffffffffffffffffffffffffff000000000000000000000001",
"bits": 224
},
"params": {
"a": {
"raw": "0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe"
},
"b": {
"raw": "0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4"
}
},
"generator": {
"x": {
"raw": "0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21"
},
"y": {
"raw": "0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34"
}
},
"order": "0xffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d",
"cofactor": "0x1",
"aliases": [
"secg/secp224r1",
"nist/P-224",
"x963/ansip224r1"
]
}

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