224-bit Random ECP Group
224-bit prime field Weierstrass curve.Defined in IETF in RFC5114
Parameters
SAGE
p = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001K = GF(p)a = K(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE)b = K(0xB4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4)E = EllipticCurve(K, (a, b))G = E(0xB70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21, 0xBD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34)E.set_order(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D * 0x01)
PARI/GP
p = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001a = Mod(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE, p)b = Mod(0xB4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4, p)E = ellinit([a, b])E[16][1] = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D * 0x01G = [Mod(0xB70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21, p), Mod(0xBD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34, p)]
JSON
{"name": "224-bit Random ECP Group","desc": "Defined in IETF in RFC5114","form": "Weierstrass","field": {"type": "Prime","p": "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001","bits": 224},"params": {"a": {"raw": "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE"},"b": {"raw": "0xB4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4"}},"generator": {"x": {"raw": "0xB70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21"},"y": {"raw": "0xBD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34"}},"order": "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D","cofactor": "0x01"}