192-bit Random ECP Group
192-bit prime field Weierstrass curve.Defined in IETF in RFC5114
Parameters
SAGE
p = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFK = GF(p)a = K(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC)b = K(0x64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1)E = EllipticCurve(K, (a, b))G = E(0x188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012, 0x07192B95FFC8DA78631011ED6B24CDD573F977A11E794811)E.set_order(0xFFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831 * 0x01)
PARI/GP
p = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFa = Mod(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC, p)b = Mod(0x64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1, p)E = ellinit([a, b])E[16][1] = 0xFFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831 * 0x01G = [Mod(0x188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012, p), Mod(0x07192B95FFC8DA78631011ED6B24CDD573F977A11E794811, p)]
JSON
{"name": "192-bit Random ECP Group","desc": "Defined in IETF in RFC5114","form": "Weierstrass","field": {"type": "Prime","p": "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF","bits": 192},"params": {"a": {"raw": "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC"},"b": {"raw": "0x64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1"}},"generator": {"x": {"raw": "0x188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012"},"y": {"raw": "0x07192B95FFC8DA78631011ED6B24CDD573F977A11E794811"}},"order": "0xFFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831","cofactor": "0x01"}