Research And Design Of A Cryptographic System Based On ECC

This paper analyzes Security problems in computer networks and the main characteristics of current cryptography. And it discusses mathematical knowledge and main conception required by construction of elliptic curve crypsosystem. On this basis the paper presents a scheme of cryptographic system based on ECC(Elliptic Curve Cryptography). Then it introduces the main algorithms including the construction of elliptic curve, points operating, data types conversions, triple encryption ,et al. In the end ,the security of the cryptographic system is analyzed. The difficulties of elliptic curve discrete logarithm problem and safety of 3-DES encryption is analyzed in detail. This cryptographic system applies a key exchange scheme based on ECC and trusty data encryption algorithm. It is secure, reliable, high efficient in encryption and decryption, and easy to implement. This scheme can be used in various application systems such as data communications, electronic commerce so as to provide security services.