Parameters

Sources

• ANSI X9.63

Characteristics

• OID:
  1.3.132.0.17

SAGE

F.<x> = GF(2)[]
K = GF(2^283, name="x", modulus=u^283 +  u^12 +  u^7 +  u^5 + 1)
E = EllipticCurve(K, (1, K.from_integer(0x000000000000000000000000000000000000000000000000000000000000000000000001), 0, 0, K.from_integer(0x027b680ac8b8596da5a4af8a19a0303fca97fd7645309fa2a581485af6263e313b79a2f5)))
E.set_order(0x03ffffffffffffffffffffffffffffffffffef90399660fc938a90165b042a7cefadb307 * 0x2)
G = E(K.from_integer(0x05f939258db7dd90e1934f8c70b0dfec2eed25b8557eac9c80e2e198f8cdbecd86b12053), K.from_integer(0x03676854fe24141cb98fe6d4b20d02b4516ff702350eddb0826779c813f0df45be8112f4))

JSON

{
  "name": "ansit283r1",
  "desc": "",
  "oid": "1.3.132.0.17",
  "sources": [
    {
      "name": "ANSI X9.63",
      "url": "https://webstore.ansi.org/standards/ascx9/ansix9632011r2017"
    }
  ],
  "form": "Weierstrass",
  "field": {
    "type": "Binary",
    "bits": 283,
    "degree": 283,
    "poly": [
      {
        "power": 283,
        "coeff": "0x01"
      },
      {
        "power": 12,
        "coeff": "0x01"
      },
      {
        "power": 7,
        "coeff": "0x01"
      },
      {
        "power": 5,
        "coeff": "0x01"
      },
      {
        "power": 0,
        "coeff": "0x01"
      }
    ],
    "basis": "poly"
  },
  "params": {
    "a": {
      "raw": "0x000000000000000000000000000000000000000000000000000000000000000000000001"
    },
    "b": {
      "raw": "0x027b680ac8b8596da5a4af8a19a0303fca97fd7645309fa2a581485af6263e313b79a2f5"
    }
  },
  "generator": {
    "x": {
      "raw": "0x05f939258db7dd90e1934f8c70b0dfec2eed25b8557eac9c80e2e198f8cdbecd86b12053"
    },
    "y": {
      "raw": "0x03676854fe24141cb98fe6d4b20d02b4516ff702350eddb0826779c813f0df45be8112f4"
    }
  },
  "order": "0x03ffffffffffffffffffffffffffffffffffef90399660fc938a90165b042a7cefadb307",
  "cofactor": "0x2",
  "aliases": [
    "nist/B-283",
    "secg/sect283r1"
  ]
}