Parameters

Sources

• ANSI X9.63

Characteristics

• OID:
  1.3.132.0.15

SAGE

F.<x> = GF(2)[]
K = GF(2^163, name="x", modulus=u^163 +  u^7 +  u^6 +  u^3 + 1)
E = EllipticCurve(K, (1, K.from_integer(0x000000000000000000000000000000000000000001), 0, 0, K.from_integer(0x020a601907b8c953ca1481eb10512f78744a3205fd)))
E.set_order(0x040000000000000000000292fe77e70c12a4234c33 * 0x2)
G = E(K.from_integer(0x03f0eba16286a2d57ea0991168d4994637e8343e36), K.from_integer(0x00d51fbc6c71a0094fa2cdd545b11c5c0c797324f1))

JSON

{
  "name": "ansit163r2",
  "desc": "",
  "oid": "1.3.132.0.15",
  "sources": [
    {
      "name": "ANSI X9.63",
      "url": "https://webstore.ansi.org/standards/ascx9/ansix9632011r2017"
    }
  ],
  "form": "Weierstrass",
  "field": {
    "type": "Binary",
    "poly": [
      {
        "power": 163,
        "coeff": "0x01"
      },
      {
        "power": 7,
        "coeff": "0x01"
      },
      {
        "power": 6,
        "coeff": "0x01"
      },
      {
        "power": 3,
        "coeff": "0x01"
      },
      {
        "power": 0,
        "coeff": "0x01"
      }
    ],
    "bits": 163,
    "degree": 163,
    "basis": "poly"
  },
  "params": {
    "a": {
      "raw": "0x000000000000000000000000000000000000000001"
    },
    "b": {
      "raw": "0x020a601907b8c953ca1481eb10512f78744a3205fd"
    }
  },
  "generator": {
    "x": {
      "raw": "0x03f0eba16286a2d57ea0991168d4994637e8343e36"
    },
    "y": {
      "raw": "0x00d51fbc6c71a0094fa2cdd545b11c5c0c797324f1"
    }
  },
  "order": "0x040000000000000000000292fe77e70c12a4234c33",
  "cofactor": "0x2",
  "aliases": [
    "secg/sect163r2",
    "nist/B-163"
  ]
}