Researches On Digital Signature Technique Based On Elliptic Curve Cryptogrophy

Along with the continuous development and application of Information Technology, the security of information has become increasingly important. Digital signature technology is currently a hot research area of network security. Since elliptical curve is proposed by N.Koblitz and Miller that it could be applied in encryption algorithm, elliptical curve cryptography system has been a great deal of development and it has become one of the hot issues of cryptography research.Currently, there is much research on rapid realization and smart card application of elliptical curve public key. Because of its own advantages, it also can be applied to Wireless Modem, Web Services, and integrated circuit cards and so on. However, in ongoing study, the research of mass security transactions in the area of e-business is so limited. With the online transactions become more frequent, this research filed will become hot spots in future.This paper mainly researches elliptical curve cryptography. A digital signature system based on elliptical curve has been put forward. Then the following work has been completed.(1) Access to a large number of literatures, the symmetric and asymmetric encryption system has been analyzed in cryptography field structure. And a comparison that the public key encryption system has the advantage between them has been proposed. On this basis, commonly digital signatures algorithm systems have been advanced.(2) In-depth analysis of ECDSA elliptical curve digital signature algorithm theoretical basis and algorithm theory, a random on the limited jurisdiction of the elliptical curve equation algorithms has been generated, and its validity has been analyzed.(3) This paper has proposed an elliptical curve digital signature program, and has explored the advantages and its special application areas. Elliptical curve encryption system has achieved some basic algorithms, such as rapid access modules algorithms, rapid modules plus algorithms, rapid modules reverse algorithm.etc.(4) On the basis of previous research, a system based on elliptical curve proxy signature and the signature threshold agent system has been proposed, and an analysis of their safety certification of its safety performance is reliable. Meanwhile this paper designed a digital signature system based on the ECDSA algorithms, an analysis of its system. And the digital signature system based on the ECDSA has been successfully simulated.