Research Of Elliptic Curve Cryptosystem And Application In Electronic Commerce

With the continuous development of network information technology,The security requirement of electronic commerce has become higher and higher.Now the security protocol which mainly used in electronic commerce is the Secure Electronic Transaction protocol,it uses the RSA public key cryptosystem which is based on a conundrum of big integer factorization.However,with the development of science and technology,the upgrade of computer operation speed and hacker means,RSA’s deficiency existing in the safety and efficiency has gradually appeared.This thesis presents a solution to slove these problems in this background.It researches that the elliptic curve cryptosystem is applied to the SET protocol.It is a current industry recognized that ECC is a public key cryptosystem which has the highest single bit security.It has the advantages of high security,fast computing speed,and small storage space which is compared with the RSA cryptosystem.It is more suitable for electronic commerce which requires higher efficiency and security.Based on the analysis of basic theory of elliptic curve cryptosystem is studied on the basis of the first use of programming the RSA and ECC encryption algorithm, and carries on the encryption on the same clear, through the test we concluded that ECC compared with RSA, which has obvious advantages on the algorithm efficiency.Then in view of the existing elliptic curve scalar multiplication algorithm,we present several improved scalar multiplication algorithm,and comparing with the original algorithm.It is based on analyzing the security of elliptic curve algorithms generate random method and complex multiplication,this thesis presents an improved algorithm which is based on random curve method.Finally we present a SET application scheme which is based on elliptic curve cryptosystem.Through the analysis of transaction process of SET protocol,putting the ECC cryptosystem applied in them,and present a model of electronic commerce payment system which is based on ECC.