Parameters

Characteristics

• OID:
  1.2.840.10045.3.0.19

SAGE

F.<x> = GF(2)[]
K = GF(2^368, name="x", modulus= x^368 +  x^85 +  x^2 +  x^1 + 1)
E = EllipticCurve(K, (1, K.fetch_int(0xe0d2ee25095206f5e2a4f9ed229f1f256e79a0e2b455970d8d0d865bd94778c576d62f0ab7519ccd2a1a906ae30d), 0, 0, K.fetch_int(0xfc1217d4320a90452c760a58edcd30c8dd069b3c34453837a34ed50cb54917e1c2112d84d164f444f8f74786046a)))
E.set_order(0x010090512da9af72b08349d98a5dd4c7b0532eca51ce03e2d10f3b7ac579bd87e909ae40a6f131e9cfce5bd967 * 0xff70)
G = E(K.fetch_int(0x1085e2755381dccce3c1557afa10c2f0c0c2825646c5b34a394cbcfa8bc16b22e7e789e927be216f02e1fb136a5f), K.fetch_int(0x7b3eb1bddcba62d5d8b2059b525797fc73822c59059c623a45ff3843cee8f87cd1855adaa81e2a0750b80fda2310))

JSON

{
  "name": "c2pnb368w1",
  "desc": "",
  "oid": "1.2.840.10045.3.0.19",
  "form": "Weierstrass",
  "field": {
    "type": "Binary",
    "bits": 368,
    "degree": 368,
    "poly": [
      {
        "coeff": "0x01",
        "power": 368
      },
      {
        "coeff": "0x01",
        "power": 85
      },
      {
        "coeff": "0x01",
        "power": 2
      },
      {
        "coeff": "0x01",
        "power": 1
      },
      {
        "coeff": "0x01",
        "power": 0
      }
    ],
    "basis": "poly"
  },
  "params": {
    "a": {
      "raw": "0xe0d2ee25095206f5e2a4f9ed229f1f256e79a0e2b455970d8d0d865bd94778c576d62f0ab7519ccd2a1a906ae30d"
    },
    "b": {
      "raw": "0xfc1217d4320a90452c760a58edcd30c8dd069b3c34453837a34ed50cb54917e1c2112d84d164f444f8f74786046a"
    }
  },
  "generator": {
    "x": {
      "raw": "0x1085e2755381dccce3c1557afa10c2f0c0c2825646c5b34a394cbcfa8bc16b22e7e789e927be216f02e1fb136a5f"
    },
    "y": {
      "raw": "0x7b3eb1bddcba62d5d8b2059b525797fc73822c59059c623a45ff3843cee8f87cd1855adaa81e2a0750b80fda2310"
    }
  },
  "order": "0x010090512da9af72b08349d98a5dd4c7b0532eca51ce03e2d10f3b7ac579bd87e909ae40a6f131e9cfce5bd967",
  "cofactor": "0xff70"
}