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sect113r1

113-bit binary field Weierstrass curve.
Also known as: wap-wsg-idm-ecid-wtls4
y2+xyx3+ax2+by^2 + xy \equiv x^3 + ax^2 + b

Parameters

NameValue
m113
f(x) x^113 + x^9 + 1
a0x003088250ca6e7c7fe649ce85820f7
b0x00e8bee4d3e2260744188be0e9c723
G(0x009d73616f35f4ab1407d73562c10f, 0x00a52830277958ee84d1315ed31886)
n0x0100000000000000d9ccec8a39e56f
h0x2

Characteristics

  • OID:
    1.3.132.0.4

SAGE

F.<x> = GF(2)[]
K = GF(2^113, name="x", modulus= x^113 + x^9 + 1)
E = EllipticCurve(K, (1, K.fetch_int(0x003088250ca6e7c7fe649ce85820f7), 0, 0, K.fetch_int(0x00e8bee4d3e2260744188be0e9c723)))
E.set_order(0x0100000000000000d9ccec8a39e56f * 0x2)
G = E(K.fetch_int(0x009d73616f35f4ab1407d73562c10f), K.fetch_int(0x00a52830277958ee84d1315ed31886))


JSON

{
"name": "sect113r1",
"desc": "",
"oid": "1.3.132.0.4",
"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": "0x003088250ca6e7c7fe649ce85820f7"
},
"b": {
"raw": "0x00e8bee4d3e2260744188be0e9c723"
}
},
"generator": {
"x": {
"raw": "0x009d73616f35f4ab1407d73562c10f"
},
"y": {
"raw": "0x00a52830277958ee84d1315ed31886"
}
},
"order": "0x0100000000000000d9ccec8a39e56f",
"cofactor": "0x2",
"aliases": [
"wtls/wap-wsg-idm-ecid-wtls4"
]
}

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