Parameters

Sources

• ANSI X9.63

Characteristics

• OID:
  1.3.132.0.2

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(0x07b6882caaefa84f9554ff8428bd88e246d2782ae2), 0, 0, K.from_integer(0x0713612dcddcb40aab946bda29ca91f73af958afd9)))
E.set_order(0x03ffffffffffffffffffff48aab689c29ca710279b * 0x2)
G = E(K.from_integer(0x0369979697ab43897789566789567f787a7876a654), K.from_integer(0x00435edb42efafb2989d51fefce3c80988f41ff883))

JSON

{
  "name": "ansit163r1",
  "desc": "",
  "oid": "1.3.132.0.2",
  "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": "0x07b6882caaefa84f9554ff8428bd88e246d2782ae2"
    },
    "b": {
      "raw": "0x0713612dcddcb40aab946bda29ca91f73af958afd9"
    }
  },
  "generator": {
    "x": {
      "raw": "0x0369979697ab43897789566789567f787a7876a654"
    },
    "y": {
      "raw": "0x00435edb42efafb2989d51fefce3c80988f41ff883"
    }
  },
  "order": "0x03ffffffffffffffffffff48aab689c29ca710279b",
  "cofactor": "0x2",
  "aliases": [
    "secg/sect163r1"
  ]
}