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wap-wsg-idm-ecid-wtls10

233-bit binary field Weierstrass curve.
Also known as: sect233k1K-233ansit233k1
y2+xyx3+ax2+by^2 + xy \equiv x^3 + ax^2 + b

Parameters

NameValue
m233
f(x) x^233 + x^74 + 1
a0x0
b0x1
G(0x017232ba853a7e731af129f22ff4149563a419c26bf50a4c9d6eefad6126, 0x01db537dece819b7f70f555a67c427a8cd9bf18aeb9b56e0c11056fae6a3)
n0x8000000000000000000000000000069d5bb915bcd46efb1ad5f173abdf
h0x4

Characteristics

  • OID:
    2.23.43.1.4.10

SAGE

F.<x> = GF(2)[]
K = GF(2^233, name="x", modulus= x^233 + x^74 + 1)
E = EllipticCurve(K, (1, K.fetch_int(0x0), 0, 0, K.fetch_int(0x1)))
E.set_order(0x8000000000000000000000000000069d5bb915bcd46efb1ad5f173abdf * 0x4)
G = E(K.fetch_int(0x017232ba853a7e731af129f22ff4149563a419c26bf50a4c9d6eefad6126), K.fetch_int(0x01db537dece819b7f70f555a67c427a8cd9bf18aeb9b56e0c11056fae6a3))


JSON

{
"name": "wap-wsg-idm-ecid-wtls10",
"desc": "",
"oid": "2.23.43.1.4.10",
"form": "Weierstrass",
"field": {
"type": "Binary",
"bits": 233,
"degree": 233,
"poly": [
{
"coeff": "0x01",
"power": 233
},
{
"coeff": "0x01",
"power": 74
},
{
"coeff": "0x01",
"power": 0
}
],
"basis": "poly"
},
"params": {
"a": {
"raw": "0x0"
},
"b": {
"raw": "0x1"
}
},
"generator": {
"x": {
"raw": "0x017232ba853a7e731af129f22ff4149563a419c26bf50a4c9d6eefad6126"
},
"y": {
"raw": "0x01db537dece819b7f70f555a67c427a8cd9bf18aeb9b56e0c11056fae6a3"
}
},
"order": "0x8000000000000000000000000000069d5bb915bcd46efb1ad5f173abdf",
"cofactor": "0x4",
"aliases": [
"secg/sect233k1",
"nist/K-233",
"x963/ansit233k1"
]
}

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