Research On Specifying Multi-Verifier Signature Scheme

With the development of science and technology,information exchange is more and more frequent,and information security has been paid more and more attention by more and more researchers.Cryptography is indispensable to information security,and the development of cryptography provides important theoretical basis and practical guarantee for information security.As a generalization of bilinear pairings,cryptography based on multilinear mapping has become a hot topic in the field of cryptography.Elliptic Curve Cryptography(ECC)can be regarded as the generalization of the cryptosystem based on the discrete logarithm problem(DLP)by using the knowledge of elliptic curve.The group elements used are changed from real numbers to any point on the curve.ECC is more secure than DLP in the case of the same key length.The advantages of elliptic curve cryptography include smaller calculation parameters,shorter key and signature,faster running speed,etc.,especially suitable for processors with limited running speed and devices with limited bandwidth.In this paper,multi-linear mapping and elliptic curve are used as tools to study the scheme of specifying multi-verifier signature.Firstly,the generalized specified multi-verifier signature based on bilinear pair theory is extended to the three-linear signature based on elliptic curve,and then to the multi-linear mapping.Secondly,the multi-signer generalized specified multi-verifier signature based on bilinear pair theory is extended to the three-linear signature based on elliptic curve,and then to the multi-linear mapping.The security of the proposed scheme is proved under the random Oracle model.The specific work is as follows:(1)The bilinear pair on the elliptic curve is extended to the three-linear mapping,and the signature scheme of single-signer and multi-signer specifying multi-verifier based on the elliptic curve three-linear mapping is designed.(2)Single-signer and multi-signer specified multi-verifier signature scheme based on multi-linear mapping is proposed.