| 基于环Z_n上圆锥曲线上的A-EKE协议及其应用 |
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| 引用本文： | 郝思佳,方颖珏,王标,邬静阳. 基于环Z_n上圆锥曲线上的A-EKE协议及其应用[J]. 计算机科学, 2011, 0(Z1) |
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| 作者姓名： | 郝思佳 方颖珏 王标 邬静阳 |
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| 作者单位： | 国际关系学院信息科技系;深圳大学数学与计算科学学院;总装备部63956部队; |
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| 摘 要： | 提出了一个基于环Zn上圆锥曲线用ElGamal签名算法实现的A-EKE协议并给出了方案的数值模拟。方案具备A-EKE协议、ElGamal签名算法和环Zn上圆锥曲线的组合优势,A-EKE协议同时使用对称和公钥密码算法为计算机网络基于口令的身份认证系统提供了安全性和鉴别性,在通信主机上存储口令的单向哈希值而非口令明文,并在扩充部分要求用户发送一条含有口令明文的加密消息来验证身份,使得攻击者即使获得了口令哈希值也无法向主机冒充用户;用ElGamal签名算法实现A-EKE,协议加强了方案的健壮性;方案能够能够抵抗主动攻击,重放攻击,中间人攻击,保护口令不受离线字典攻击和破坏口令文件的攻击。方案运算在环Zn上的圆锥曲线上,综合利用了大数分解的困难性和环上圆锥曲线群上离散对数问题的困难性,从而增强了该方案的安全性,且具有明文嵌入方便、运算速度快、更易于实现等优点,尤其是标准二进制的引入能够节约1/4计算量,对于工程实现具有现实意义。
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| 关 键 词： | 剩余类环Zn 圆锥曲线 EKE A-EKE 标准二进制 |
Applications of A-EKE Protocol with ElGamal Signature Scheme Based on the Conic Curve over Z_n |
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| HAO Si-jia FANG Ying-jue WANG Biao WU Jing-yang. Applications of A-EKE Protocol with ElGamal Signature Scheme Based on the Conic Curve over Z_n[J]. Computer Science, 2011, 0(Z1) |
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| Authors: | HAO Si-jia FANG Ying-jue WANG Biao WU Jing-yang |
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| Affiliation: | HAO Si-jia1 FANG Ying-jue2 WANG Biao1 WU Jing-yang3(Department of Information Technology,University of International Relations,Beijing 100091,China)1(College of Mathematics and Computational Science,Shenzhen University,Shenzhen 518060,China)2(63956Troops,General Armament Department,China)3 |
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| Abstract: | This paper proposed a scheme in which A-EKE is formed on the basis of conic curve over residue class ring Zn using ElGamal signature algorithm,and presented the numerical simulation of the scheme.This scheme has combining advantages:A-EKE Protocol using a combination of asymmetric(public-key) and symmetric(secret-key) cryptography provides security and identification for communication on computer network.A-EKE allows hosts not to store cleartext passwords,and thus can prevent the attacker from mimicking the... |
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| Keywords: | Residue class ring Zn Conic curve EKE A-EKE NAF |
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