The Public-key Cryptosystem Of Blind Signature Based On Conic Curve Over Z_n And The Applications In Electronic Election

In the 21st century, the emergence of computers and the Internet (Internet) has radically changed the daily lives of human beings. Along with the improvement of computer hardware and software technology, the classical public-key cryptosystem is vulnerable and which is faced up with growing security threats. The cryptosystem based on algebra curves, one branch of public-key cryptosystems, has aroused great interest from researchers, and corresponding standards have been issued for elliptic curve cryptosystem. Furthermore, we try to find more algebra curves except ECC, or at least more advantageous in some aspects to realize public-key cryptosystem. Besides, the conic curve over Zn is paid attention by people. Compared with RSA blind signature over finite field,the conic analog over Zn greatly shortened the length of secret-key and resisted small private exponent attack. Compared with the counterparts based on elliptic curves over Zn, the conic analog was easier to accomplish,for they not only reserved the advantages but also advanced more advantages such as convenient plaintext embedding and speedy operation.The dissertation makes systematic research into conic curve over residue class ring, Conic analogs of blind signature based on RSA over Zn were presented.The focus is the applications in electronic systems.The conic curve C n( a , b ) is described in two methods. Two additions are defined, proved same with each other and denoted by⊕.It is proved that the rational points of C n( a , b ) form an abelian group under the operation⊕,which is denoted by (C n( a , b ),⊕).Then, the dissertation discusses basic properties of the group,in (C n( a , b ),⊕)order to providing the analogues of different public-key cryptosystems; The dissertation provides classic RSA and E1Gama1, especially for the analogues of conic curve based on RSA.Analyzing the capability of these systems. In the last, the dissertation provides the application in electronic election based on the conic curves blind signature over Z n, especially the advantage in anonymous electronic voting. Compared with RSA blind signature,the conic analog over Zn reflected in the negative million Yuan and the whole group on multiple shortcuts. The main contents of this article are the applications of blind Signature in electronic election. The blind signature based on electronic voting, is actually a sign technique which should cover the digital signature first, it makes the signer doesn't realize the real content, Usually blind signature is a method to hide the sign content and then extracted from the blind content when getting the legal signature.So we can get the original message signatures.In order to realizing this kind of technology, we need two conditions:First, for the signer, the content of news is blind. Namely,it can't be found by the signer. Second, the signer can't track the blind message when the sign was leaked. Namely, the signer cannot link the blind message.The blind signature plays an important role in anonymous cryptosystem,especially in electronic election.Firstly, the dissertation analyses the safety requirements of electronic voting system.And then we provide the application in electronic election based on the conic curves blind signature over Z n, designs from the function module.In the last,we design the database of the application...