{
  "name": "Oakley",
  "desc": "Oakley groups from <https://tools.ietf.org/html/rfc2409> and <https://tools.ietf.org/html/rfc5114>",
  "curves": [
    {
      "name": "Oakley Group 3",
      "category": "oakley",
      "desc": "Defined in IETF in RFC2409, no generator present.",
      "sources": [
        {
          "name": "RFC2409",
          "url": "https://tools.ietf.org/html/rfc2409"
        }
      ],
      "field": {
        "type": "Binary",
        "poly": [
          {
            "power": 155,
            "coeff": "0x01"
          },
          {
            "power": 62,
            "coeff": "0x01"
          },
          {
            "power": 0,
            "coeff": "0x01"
          }
        ],
        "bits": 155,
        "degree": 155,
        "basis": "poly"
      },
      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0x0"
        },
        "b": {
          "raw": "0x07338f"
        }
      },
      "order": "0x0800000000000000000057db5698537193aef944",
      "cofactor": "0x01",
      "characteristics": {
        "discriminant": "471951",
        "j_invariant": "34837375998431887600960682496879104498140954442",
        "trace_of_frobenius": "-414891960790832521345347"
      }
    },
    {
      "name": "Oakley Group 4",
      "category": "oakley",
      "desc": "Defined in IETF in RFC2409, no generator present.",
      "sources": [
        {
          "name": "RFC2409",
          "url": "https://tools.ietf.org/html/rfc2409"
        }
      ],
      "field": {
        "type": "Binary",
        "poly": [
          {
            "power": 185,
            "coeff": "0x01"
          },
          {
            "power": 69,
            "coeff": "0x01"
          },
          {
            "power": 0,
            "coeff": "0x01"
          }
        ],
        "bits": 185,
        "degree": 185,
        "basis": "poly"
      },
      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0x0"
        },
        "b": {
          "raw": "0x1ee9"
        }
      },
      "order": "0x01ffffffffffffffffffffffdbf2f889b73e484175f94ebc",
      "cofactor": "0x01",
      "characteristics": {
        "discriminant": "7913",
        "j_invariant": "27158933884363704516225847729773021777085202972610116343",
        "trace_of_frobenius": "11157211627747266908830216517"
      }
    },
    {
      "name": "192-bit Random ECP Group",
      "category": "oakley",
      "desc": "Defined in IETF in RFC5114",
      "sources": [
        {
          "name": "RFC5114",
          "url": "https://tools.ietf.org/html/rfc5114"
        }
      ],
      "field": {
        "type": "Prime",
        "p": "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
        "bits": 192
      },
      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC"
        },
        "b": {
          "raw": "0x64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1"
        }
      },
      "generator": {
        "x": {
          "raw": "0x188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012"
        },
        "y": {
          "raw": "0x07192B95FFC8DA78631011ED6B24CDD573F977A11E794811"
        }
      },
      "order": "0xFFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",
      "cofactor": "0x01",
      "characteristics": {
        "cm_disc": "-24109379060336110122544161233113975664949272517896865359515",
        "conductor": "1",
        "discriminant": "5525402385154848923235289274741921730185152131202286251655",
        "j_invariant": "6234286251230310114240839169629130138801351179850969208331",
        "embedding_degree": "627710173538668076383578942317605901376719477318284228408",
        "trace_of_frobenius": "31607402316713927207482677199"
      }
    },
    {
      "name": "224-bit Random ECP Group",
      "category": "oakley",
      "desc": "Defined in IETF in RFC5114",
      "sources": [
        {
          "name": "RFC5114",
          "url": "https://tools.ietf.org/html/rfc5114"
        }
      ],
      "field": {
        "type": "Prime",
        "p": "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
        "bits": 224
      },
      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE"
        },
        "b": {
          "raw": "0xB4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4"
        }
      },
      "generator": {
        "x": {
          "raw": "0xB70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21"
        },
        "y": {
          "raw": "0xBD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34"
        }
      },
      "order": "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
      "cofactor": "0x01",
      "characteristics": {
        "cm_disc": "-9493061114565352281698673660738078664961855212656825491744070162387",
        "conductor": "3",
        "discriminant": "8133954887115844930654026312464158747844254983800706208418026371607",
        "j_invariant": "20781977079628996477063007379734849057519732242287194936686605794677",
        "embedding_degree": "8986648889050213264889005029006541980152602571474797240560907456020",
        "trace_of_frobenius": "4733100108545601916421827343930821"
      }
    },
    {
      "name": "256-bit Random ECP Group",
      "category": "oakley",
      "desc": "Defined in IETF in RFC5114",
      "sources": [
        {
          "name": "RFC5114",
          "url": "https://tools.ietf.org/html/rfc5114"
        }
      ],
      "field": {
        "type": "Prime",
        "p": "0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
        "bits": 256
      },
      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC"
        },
        "b": {
          "raw": "0x5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B"
        }
      },
      "generator": {
        "x": {
          "raw": "0x6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296"
        },
        "y": {
          "raw": "0x4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5"
        }
      },
      "order": "0xFFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",
      "cofactor": "0x01",
      "characteristics": {
        "cm_disc": "-455213823400003756884736869668539463648899917731097708475249543966132856781915",
        "conductor": "1",
        "discriminant": "47064476442213300654454205837611899485069387829947879813735601543372794627813",
        "j_invariant": "7958909377132088453074743217357398615041065282494610304372115906626967530147",
        "embedding_degree": "38597363070118749587565815649802524509998985074711920114140753020356170681456",
        "trace_of_frobenius": "89188191154553853111372247798585809583"
      }
    },
    {
      "name": "384-bit Random ECP Group",
      "category": "oakley",
      "desc": "Defined in IETF in RFC5114",
      "sources": [
        {
          "name": "RFC5114",
          "url": "https://tools.ietf.org/html/rfc5114"
        }
      ],
      "field": {
        "type": "Prime",
        "p": "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF",
        "bits": 384
      },
      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC"
        },
        "b": {
          "raw": "0xB3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF"
        }
      },
      "generator": {
        "x": {
          "raw": "0xAA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7"
        },
        "y": {
          "raw": "0x3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F"
        }
      },
      "order": "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",
      "cofactor": "0x01"
    },
    {
      "name": "521-bit Random ECP Group",
      "category": "oakley",
      "desc": "Defined in IETF in RFC5114",
      "sources": [
        {
          "name": "RFC5114",
          "url": "https://tools.ietf.org/html/rfc5114"
        }
      ],
      "field": {
        "type": "Prime",
        "p": "0x000001FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
        "bits": 521
      },
      "form": "Weierstrass",
      "params": {
        "a": {
          "raw": "0x000001FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC"
        },
        "b": {
          "raw": "0x00000051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00"
        }
      },
      "generator": {
        "x": {
          "raw": "0x000000C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66"
        },
        "y": {
          "raw": "0x0000011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650"
        }
      },
      "order": "0x000001FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",
      "cofactor": "0x01"
    }
  ]
}