The Study, Based On Bilinear Digital Signature

In the modern developed information society ,the digital signature ,as an important method to protect date information ,has been drawing the attention of more and more researchers .As what the handwriting signature does ,the digital signature not only need to be ensured the identity of the signer ,but also the convenient of channel transmitting .General speaking ,the digital signature can realize the following four security aims :security ,authentication ,integrality and undeniable .With the growth of the digital signature ,more and more requires are brought forward ,such as how to make the signature more security ,to make the signature occupy the less store resource and the secret key as short as it can be under the ensuring security condition.Lots of researchers have done abundant work in this way. Since Boneh and Franklin present the short signature scheme from bilinear pairings in 2001.The bilinear pairings,because of its virtue ,come to be an important tool in the cryptography.The research of this thesis focuses on the digital signature which is based on the bilinear pairings .Firstly the thesis introduces some basic concepts and tools which are used by the signature ;Secondly we introduce the bilinear pairings and principles; At the end ,we proposal two signature schemes and a signcryption scheme which are based on the bilinear pairings ,then we analysis the security and the superiority of them.In the group signature scheme, according to ElGamal public key cryptosystem and group signature ,this scheme givers a group signature scheme based on ElGamal public key cryptosystem over elliptic curve .It can avoid the common forgery attack of the group member and the group manager .The scheme has relatively small computational complexity ,and the amount of data need to be transferred is very small ,so this logarithm is relatively efficient;In the Chameleon signature scheme ,we know that Chameleon signature are non-interactive signatures ,it's building block is chameleon hash function ,a trapdoor one-way hash function .The distinguishing characteristic of chameleon signature is non-transferable and non-repudiation .This scheme proposes a ID-Based chameleon digital signature from bilinear pairings;In the signcryption scheme, we give a multi-proxy signcryption scheme based on the access structure which provides incentive to cooperate with authentication and confidentiality .The scheme is the first multi-proxy signcryption scheme based on the access structure. It is analyzed that this scheme is correct and secure.