期刊导航

论文摘要

一个改进的环上广义圆锥曲线上的数字签名方案

An Improved Digital Signature on Generalized Conic Curve over Zn

作者:王标(国际关系学院);林松(北京航空航天大学);李舟军(北京航空航天大学);王丁(国际关系学院)

Author:wangbiao();linsong();LI Zhoujun(Heihang University);wangding()

收稿日期:2008-07-24          年卷(期)页码:2009,41(4):168-170

期刊名称:工程科学与技术

Journal Name:Advanced Engineering Sciences

关键字:数字签名;整数分解;离散对数;广义圆锥曲线

Key words:digital signature;integer factorization;discrete logarithm;generalized conic curve

基金项目:国家自然科学基金

中文摘要

针对环Zn上圆锥曲线上的Xiao数字签名方案中公布参数Nn,导致模数n被分解的缺陷,提出一个改进方案,主要通过修改签名算法实现参数Nn的保密,并改进了验证算法,同时,将其推广到环Zn上广义圆锥曲线上,以获得更多的密码曲线选择。分析表明,新方案除了保留明文嵌入、求逆元、阶的计算快速等优点外,增加了密码曲线的选择空间,其安全性真正实现同时基于离散对数问题和整数分解问题。

英文摘要

In order to overcome the flaw in the Xiao scheme on conic curve over Zn, of which the published parameter Nn could make it possible that the modulus n could be factorized, an improved scheme was proposed here. In our proposed scheme, the parameter Nn was kept secretly, and the verifying algorithm was presented. Moreover, generalized conic curve was chosen to replace conic curve. The security analysis showed that the improved scheme is easy to accomplish for convenient embedding plaintext, computing element order and points in the generalized conic curve. In addition, this scheme is a digital signature scheme based on computing discrete logarithm and factorizing great integer, and has more curves for choice than it on conic curve.

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