Research On Proxy Signature Scheme Based On Elliptic Curve

At present, proxy signature and proxy multi-signature schemes are almost based on ordinary separate logarithm question. And the security of the schemes couldn't satisfy the request of the people. The schemes based on ECDLP have the higher security. In this paper, it is applied to the domain of proxy signature and is unified with special kind of signature schemes. So the schemes have the higher research value.The proxy signature and proxy multi-signature presented in this passage are improving the security in transmission process as a goal. Based on analyzing foundation to the domestic and foreign research present situation, research and design each kind of higher security scheme. Firstly, signing from the proxy signature on elliptic curve to embark, one kind of higher security and lower complex proxy signature scheme is designed, and the complexity and the security of the scheme are analyzed. Meanwhile having arrived on the expansion in the scheme foundation, one kind of newly proxy multi-signature scheme is designed based on elliptic curve. Secondly, uniting the thoughts of designated-receiver proxy signature and message-recovery signature with the thoughts of cryptography scheme on elliptic curve, the higher security proxy signature scheme and proxy multi-signature scheme are designed, and a dual-secure proxy signature scheme is presented. The thoughts of designated-receiver proxy signature and message-recovery signature are proposed for the first time.Finally, a new forward secure proxy signature scheme is presented in order to prevent the destruction of the key lost. This kind of new scheme has also used the thought of the elliptic curve, and has a higher security comparing the ordinary scheme. Meanwhile, analyse the complexity and the security of thisscheme.