Elliptic curve cryptosystems (ECC) is by far the highest every bit of strength of security password system.Compared with other public-key cryptosystem, elliptic curve cryptosystem besides high security, still has a little short, key dimensions load, bandwidth etc. Therefore, the elliptic curve cryptosystem is believed to be the next general public key cryptography.
This subject introduces the mathematical basis and related ecc theory, describes the elliptic curve meal Fp domain of several points of computing, give point by point and operation of the theoretical basis, Then discusses the principle and parameters of.ecc choice, analyses and compares the efficacy and safety of ECC KP mohan and rapid scalar multiply algorithm, Third, introduced in vc ++ 6.0 environment design and realization of a meal domain of Fp elliptic curve encryption algorithm, Finally, the elliptic curve encryption algorithms are summarized and the prospects of the development trend of the ECC, and research direction is discussed.
