The Examination Of Digital Signature System

With the rapid development of information technology and internet, it’s changed or bechanging our society. The internet is open, so the information translating on it is not security,and how to take it security about country security.Public key system is used in internet to protected it’s security. Elliptic curve cryptosystemhas the advantages of height security, small computational complexity, high speed, smallspace and limited band width, and has been adopted as public key cryptography and digitalsignature standard by several international standard organizations. In our country, theelectronic signature law has just published. The research and application of ECDSA are notmatured enough and the united standard has not formed. The research of the elliptic curveapplied to special signatures is only at start. Therefore, it has important significant in theresearch in ECDSA and its application to special signatures.This paper firstly analyzes the cryptosystems, especially the public key cryptosystem,and the advantage of the ECC is proved by the security analysis of theorem and mathematics.Then some sorts of digital signatures are introduced, especially the ECDSA and the improvedalgorithm. Some sorts of digital signatures with message recovery and a new digital signaturewith message recovery based on the elliptic curve are introduced. The truth, stability andsecurity of the scheme are proved. At last, a new digital signature with message recovery areintroduced.