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wap-wsg-idm-ecid-wtls1

113-bit binary field Weierstrass curve.
y2+xyx3+ax2+by^2 + xy \equiv x^3 + ax^2 + b

Parameters

NameValue
m113
f(x) x^113 + x^9 + 1
a0x1
b0x1
G(0x01667979a40ba497e5d5c270780617, 0x00f44b4af1ecc2630e08785cebcc15)
n0x00fffffffffffffffdbf91af6dea73
h0x2

Characteristics

  • OID:
    2.23.43.1.4.1

SAGE

F.<x> = GF(2)[]
K = GF(2^113, name="x", modulus= x^113 + x^9 + 1)
E = EllipticCurve(K, (1, K.fetch_int(0x1), 0, 0, K.fetch_int(0x1)))
E.set_order(0x00fffffffffffffffdbf91af6dea73 * 0x2)
G = E(K.fetch_int(0x01667979a40ba497e5d5c270780617), K.fetch_int(0x00f44b4af1ecc2630e08785cebcc15))


JSON

{
"name": "wap-wsg-idm-ecid-wtls1",
"desc": "",
"oid": "2.23.43.1.4.1",
"form": "Weierstrass",
"field": {
"type": "Binary",
"bits": 113,
"degree": 113,
"poly": [
{
"coeff": "0x01",
"power": 113
},
{
"coeff": "0x01",
"power": 9
},
{
"coeff": "0x01",
"power": 0
}
],
"basis": "poly"
},
"params": {
"a": {
"raw": "0x1"
},
"b": {
"raw": "0x1"
}
},
"generator": {
"x": {
"raw": "0x01667979a40ba497e5d5c270780617"
},
"y": {
"raw": "0x00f44b4af1ecc2630e08785cebcc15"
}
},
"order": "0x00fffffffffffffffdbf91af6dea73",
"cofactor": "0x2"
}

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