Parameters

Characteristics

• OID:
  1.2.840.10045.3.0.16

SAGE

F.<x> = GF(2)[]
K = GF(2^272, name="x", modulus= x^272 +  x^56 +  x^3 +  x^1 + 1)
E = EllipticCurve(K, (1, K.fetch_int(0x91a091f03b5fba4ab2ccf49c4edd220fb028712d42be752b2c40094dbacdb586fb20), 0, 0, K.fetch_int(0x7167efc92bb2e3ce7c8aaaff34e12a9c557003d7c73a6faf003f99f6cc8482e540f7)))
E.set_order(0x0100faf51354e0e39e4892df6e319c72c8161603fa45aa7b998a167b8f1e629521 * 0xff06)
G = E(K.fetch_int(0x6108babb2ceebcf787058a056cbe0cfe622d7723a289e08a07ae13ef0d10d171dd8d), K.fetch_int(0x10c7695716851eef6ba7f6872e6142fbd241b830ff5efcaceccab05e02005dde9d23))

JSON

{
  "name": "c2pnb272w1",
  "desc": "",
  "oid": "1.2.840.10045.3.0.16",
  "form": "Weierstrass",
  "field": {
    "type": "Binary",
    "bits": 272,
    "degree": 272,
    "poly": [
      {
        "coeff": "0x01",
        "power": 272
      },
      {
        "coeff": "0x01",
        "power": 56
      },
      {
        "coeff": "0x01",
        "power": 3
      },
      {
        "coeff": "0x01",
        "power": 1
      },
      {
        "coeff": "0x01",
        "power": 0
      }
    ],
    "basis": "poly"
  },
  "params": {
    "a": {
      "raw": "0x91a091f03b5fba4ab2ccf49c4edd220fb028712d42be752b2c40094dbacdb586fb20"
    },
    "b": {
      "raw": "0x7167efc92bb2e3ce7c8aaaff34e12a9c557003d7c73a6faf003f99f6cc8482e540f7"
    }
  },
  "generator": {
    "x": {
      "raw": "0x6108babb2ceebcf787058a056cbe0cfe622d7723a289e08a07ae13ef0d10d171dd8d"
    },
    "y": {
      "raw": "0x10c7695716851eef6ba7f6872e6142fbd241b830ff5efcaceccab05e02005dde9d23"
    }
  },
  "order": "0x0100faf51354e0e39e4892df6e319c72c8161603fa45aa7b998a167b8f1e629521",
  "cofactor": "0xff06"
}