Analysis on Security of Elliptic Curve Cryptosystem

Elliptic curve cryptosystem has becoming the popular public-key cryptosystem gradually,thus it is important for us to comprehend its security state.Firstly,it has researched the definition of ECC and ECDLP.And then according to the selecting of elliptic curve as well as the application and the disverfied attacks of elliptic curve cryptosystem,the security analysis of elliptic curve cryptosystem was proposed in detail.Compared with other public-key cryptosystem,conclude that elliptic curve cryptosystem will be popularity in the future for the characters of short key,high security,fast encryption,little computation and small storage space.Therefore elliptic curve cryptosystem has important theoretical value and wide application prospect.