Research On Ring Signature Scheme Based On ECC

Cryptography has appeared in ancient times.It was first used in military field to transmit confidential information.As time passed,the application of cryptography gradually expanded to social,political,economic and life areas.In recent decades,with the rapid development of the electronic information society,people's awareness of information security has gradually strengthened.From a country to an individual,we concern the development of information security protection all the time,and cryptography has received unprecedented attention.Many scholars have continued to explore and research in this field.Different cryptosystems have been put forward,and a large number of encryption schemes have been put forward according to different requirements.Digital signature occupies a very important position in cryptography.The essence of digital signature is some special data attached to information,or a special password transformation for information.It's scope of application is extremely wide,and it can be adjusted and optimized for different application environments and requirements.Therefore,there are many kinds of digital signature schemes,such as group signature scheme,concurrent signatures scheme,ring signature scheme,no-certificate signature and specified signature scheme.Among them,the ring signature scheme is a bright pearl in the digital signature.The ring signature scheme is developed based on the group signature scheme and the concurrent signature scheme.It eliminates the disadvantage that the group administrator has too large authority and forged signatures in the group signature easily.Because the ring signature scheme is a self-organizing signature,the members in the ring can be selected by the signer,so the restriction requirements of the signer which participating in the concurrent signature is also optimized.Because of this,the research and exploration of ring signature is of great practical significance.This article mainly studies the ring signature scheme and the threshold ring signature scheme based on the Elliptic Curve Cryptography(ECC).The specific process is as follows:1.First,this article introduces the research background and research status of cryptography and digital signature schemes related to the content of this paper.2.Then,this article introduces the general model of ring signatures,related classification and specific requirements for security.Next,it introduces the basic theory of mathematics involved in the paper,which includes number theory,group,domain and so on.It also introduces the cryptography-related knowledge involved in the article,including the hash function,the elliptic curve cryptography system,and the assumption of difficult problems based on ECC.3.In the third chapter,through the ring signature scheme researched by previous scholars,it is found that most of them use bilinear pairings.Compared with ECC,there are many shortcomings in terms of security.The main advantage of ECC is that it can provide more high security protection,or use a shorter password under the same security protection.Therefore,we propose a new ring signature scheme based on ECC through combining the features of ECC and ring signature and the signer's personal identity information,and give the proof of security.4.In the fourth chapter,we study threshold ring signature which is a special category in ring signature.It is found that most of threshold ring signature schemes only verify the single element of the signature during the verification phase,and the security needs to be improved.Therefore,we have proposed a new threshold ring signature scheme based on ECC.In this scheme,we verify not only the single element in the signature of the signer,but also elements in the ring structure in the signature as a whole.Finally,we give the security verification of the scheme.5.Finally,it summarizes all the research contents of this paper,points out the risks existing in the current signature scheme,and looks forward to the future development of digital signature schemes.