ansit163k1
163-bit binary field Weierstrass curve.
y2+xy≡x3+ax2+b Parameters
| Name | Value |
|---|
| m | 163 |
| f(x) | x^163 + x^7 + x^6 + x^3 + 1 |
| a | 0x000000000000000000000000000000000000000001 |
| b | 0x000000000000000000000000000000000000000001 |
| G | (0x02fe13c0537bbc11acaa07d793de4e6d5e5c94eee8, 0x0289070fb05d38ff58321f2e800536d538ccdaa3d9) |
| n | 0x04000000000000000000020108a2e0cc0d99f8a5ef |
| h | 0x2 |
SAGE
F.<x> = GF(2)[]
K = GF(2^163, name="x", modulus= x^163 + x^7 + x^6 + x^3 + 1)
E = EllipticCurve(K, (1, K.fetch_int(0x000000000000000000000000000000000000000001), 0, 0, K.fetch_int(0x000000000000000000000000000000000000000001)))
E.set_order(0x04000000000000000000020108a2e0cc0d99f8a5ef * 0x2)
G = E(K.fetch_int(0x02fe13c0537bbc11acaa07d793de4e6d5e5c94eee8), K.fetch_int(0x0289070fb05d38ff58321f2e800536d538ccdaa3d9))
JSON
{
"name": "ansit163k1",
"desc": "",
"oid": "1.3.132.0.1",
"form": "Weierstrass",
"field": {
"type": "Binary",
"bits": 163,
"degree": 163,
"poly": [
{
"coeff": "0x01",
"power": 163
},
{
"coeff": "0x01",
"power": 7
},
{
"coeff": "0x01",
"power": 6
},
{
"coeff": "0x01",
"power": 3
},
{
"coeff": "0x01",
"power": 0
}
],
"basis": "poly"
},
"params": {
"a": {
"raw": "0x000000000000000000000000000000000000000001"
},
"b": {
"raw": "0x000000000000000000000000000000000000000001"
}
},
"generator": {
"x": {
"raw": "0x02fe13c0537bbc11acaa07d793de4e6d5e5c94eee8"
},
"y": {
"raw": "0x0289070fb05d38ff58321f2e800536d538ccdaa3d9"
}
},
"order": "0x04000000000000000000020108a2e0cc0d99f8a5ef",
"cofactor": "0x2"
}