Method of constructing hyperelliptic curves suitable for cryptographic purposes and cryptographic apparatus using such a method

摘要

For the method for determining the hyperelliptic curve of safety rapidly is provided, the suitable hyperelliptic curve of complex multiplication method structure is used in suggestion.Method of the present invention has on the big characteristic Galois field hyperelliptic curve that produces the deficiency 2 that is suitable for encrypting application.The present invention further also provides a kind of encryption device that utilizes aforesaid method, and it can be used for the encryption and decryption message valuably, can be on the public network between transmitter and the receiver exchange message safely.Utilize a kind of like this encryption device, can in the discriminating proof procedure of transmitter and receiver, encrypt the message and the file that exchange rapidly and easily.