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wap-wsg-idm-ecid-wtls6

112-bit prime field Weierstrass curve.
Also known as: secp112r1
y2x3+ax+by^2 \equiv x^3 + ax + b

Parameters

NameValue
p0xdb7c2abf62e35e668076bead208b
a0xdb7c2abf62e35e668076bead2088
b0x659ef8ba043916eede8911702b22
G(0x09487239995a5ee76b55f9c2f098, 0xa89ce5af8724c0a23e0e0ff77500)
n0xdb7c2abf62e35e7628dfac6561c5
h0x1

Characteristics

  • OID:
    2.23.43.1.4.6

SAGE

p = 0xdb7c2abf62e35e668076bead208b
K = GF(p)
a = K(0xdb7c2abf62e35e668076bead2088)
b = K(0x659ef8ba043916eede8911702b22)
E = EllipticCurve(K, (a, b))
G = E(0x09487239995a5ee76b55f9c2f098, 0xa89ce5af8724c0a23e0e0ff77500)
E.set_order(0xdb7c2abf62e35e7628dfac6561c5 * 0x1)

PARI/GP

p = 0xdb7c2abf62e35e668076bead208b
a = Mod(0xdb7c2abf62e35e668076bead2088, p)
b = Mod(0x659ef8ba043916eede8911702b22, p)
E = ellinit([a, b])
E[16][1] = 0xdb7c2abf62e35e7628dfac6561c5 * 0x1
G = [Mod(0x09487239995a5ee76b55f9c2f098, p), Mod(0xa89ce5af8724c0a23e0e0ff77500, p)]

JSON

{
"name": "wap-wsg-idm-ecid-wtls6",
"desc": "",
"oid": "2.23.43.1.4.6",
"form": "Weierstrass",
"field": {
"type": "Prime",
"p": "0xdb7c2abf62e35e668076bead208b",
"bits": 112
},
"params": {
"a": {
"raw": "0xdb7c2abf62e35e668076bead2088"
},
"b": {
"raw": "0x659ef8ba043916eede8911702b22"
}
},
"generator": {
"x": {
"raw": "0x09487239995a5ee76b55f9c2f098"
},
"y": {
"raw": "0xa89ce5af8724c0a23e0e0ff77500"
}
},
"order": "0xdb7c2abf62e35e7628dfac6561c5",
"cofactor": "0x1",
"aliases": [
"secg/secp112r1"
]
}

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