Research on Elliptic Curves Cryptosystems and Its Application on Digital Signature

This paper introduces the technique of digital signature and analyzes the technique of crytosystems and digital signature,then presents a digital signature scheme based on ECC.Its security bases on solving the elliptic curves cryptosystems discrete logarithm problem.It can keep with RSA or DSA the premise of equally safe functions in systems descend to shorten the length of key and have lower communication costs than RSA or DSA and therefore the schemes lowered the communication costs and increases the safety of the network information.