基于椭圆曲线群的聚合代理签名方案设计.pdf

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摘要·················································································I

ABSTRACT·····································································III

1绪论············································································1

1.1研究背景与意义·······················································1

1.2国内外研究现状·······················································2

1.3本文的主要研究内容·················································4

1.4论文组织结构··························································5

2密码学相关理论基础·······················································6

2.1模素数的椭圆曲线···················································6

2.2模素数的椭圆曲线群上困难性问题······························7

2.3公钥密码学简介······················································7

2.4哈希（Hash）函数和随机预言模型······························8

2.5本章小结·······························································9

3具有用户撤销机制的保护隐私的数据审计方案······················10

3.1引言····································································10

3.2方案的形式定义和安全模型······································11

3.2.1基于证书是聚合代理签名方案的形式定义············11

3.2.2本文方案的安全模型·······································12

3.3方案设计······························································13

3.4安全性证明···························································15

3.5效率分析和安全性比较比较······································20

3.6本章小结·······························································21

4适用于远程医疗系统的指定验证者聚合代理签名方案·············22

4.1引言····································································22

4.2基于证书的指定验证者聚合代理签名算法····················23

贵州师范大学硕士学位论文

4.3方案的安全模型·····················································26

4.4方案设计·······································

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