基于改进的椭圆曲线零知识证明的智能卡系统

A SMART CARD SYSTEM BASED ON IMPROVED ZERO KNOWLEDGE PROOF OF ELLIPSE CURVE

零知识证明已成为密码学研究者非常感兴趣的一个领域,该证明能使验证者无法得到一点知识而相信证明者确实拥有该知识。这里提出一种基于改进的椭圆曲线零知识证明的智能卡系统,该系统能够大大地提高智能卡的安全性,可以被广泛地用于金融领域。这个新方案不仅能够保证安全性,而且还减少了交互次数。同时基于椭圆曲线上的零知识证明可以用比RSA短得多的密钥,达到与RSA同等级别的安全性。

Zero knowledge proof has been a field which the cryptography researchers are most interested in,it can make the verifier has no way in knowing any knowledge while believe the prover does have the knowledge.In this thesis,we proposed a smart card system based on improved zero knowledge proof of ellipse curve,which can greatly strengthen the security of the smart card,so that it can be widely used in financial sectors.This new system can ensure the security and can decrease the interaction times as well.At the same time,same security level as RSA has can be achieved by ellipse curve-based zero knowledge proof with the key much shorter in length than that of RSA.