Parameters

Sources

• Wireless Application Protocol Wireless Transport Layer Security Specification

Characteristics

• OID:
  2.23.43.1.4.1
• j-invariant:
  1
• Trace of Frobenius:
  1267584991505179
• Discriminant:
  1

SAGE

F.<x> = GF(2)[]
K = GF(2^113, name="x", modulus=u^113 +  u^9 + 1)
E = EllipticCurve(K, (1, K.from_integer(0x1), 0, 0, K.from_integer(0x1)))
E.set_order(0x00fffffffffffffffdbf91af6dea73 * 0x2)
G = E(K.from_integer(0x01667979a40ba497e5d5c270780617), K.from_integer(0x00f44b4af1ecc2630e08785cebcc15))

JSON

{
  "name": "wap-wsg-idm-ecid-wtls1",
  "desc": "",
  "oid": "2.23.43.1.4.1",
  "sources": [
    {
      "name": "Wireless Application Protocol Wireless Transport Layer Security Specification",
      "url": "https://www.wapforum.org/tech/documents/WAP-199-WTLS-20000218-a.pdf"
    }
  ],
  "form": "Weierstrass",
  "field": {
    "bits": 113,
    "degree": 113,
    "poly": [
      {
        "power": 113,
        "coeff": "0x01"
      },
      {
        "power": 9,
        "coeff": "0x01"
      },
      {
        "power": 0,
        "coeff": "0x01"
      }
    ],
    "type": "Binary",
    "basis": "poly"
  },
  "params": {
    "a": {
      "raw": "0x1"
    },
    "b": {
      "raw": "0x1"
    }
  },
  "generator": {
    "x": {
      "raw": "0x01667979a40ba497e5d5c270780617"
    },
    "y": {
      "raw": "0x00f44b4af1ecc2630e08785cebcc15"
    }
  },
  "order": "0x00fffffffffffffffdbf91af6dea73",
  "cofactor": "0x2",
  "characteristics": {
    "discriminant": "1",
    "j_invariant": "1",
    "trace_of_frobenius": "1267584991505179"
  }
}