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常数轮多项式互素多方安全判定协议

  • 何云筱 ,
  • 徐海霞 ,
  • 吕克伟 ,
  • 李宝
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  • 中国科学院研究生院信息安全国家重点实验室, 北京 100039

收稿日期: 2003-03-11

  修回日期: 2003-05-12

  网络出版日期: 2004-03-19

基金资助

中国科学院研究生院院长基金(yzjj2003010)资助;国家“863”计划(2001AA140435)的部分支持

Secure Constant-Round Protocols for DeterminingCo-Prime of Polynomials

  • HE Yun-Xiao ,
  • XU Hai-Xia ,
  • LV Ke-Wei ,
  • LI Bao
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  • State Key Lab. of Information Security, Graduate School, Chinese Academy of Sciences, Beijing 100039, China

Received date: 2003-03-11

  Revised date: 2003-05-12

  Online published: 2004-03-19

摘要

以生成随机共享值、安全共享乘法与加法的常数轮协议为基础,给出有限域K上多项式的Shamir共享,并构造常数轮协议,使得网络可以安全判定K[x]中两个多项式是否互素.所构造协议的安全性基于已知基本协议的安全性.

本文引用格式

何云筱 , 徐海霞 , 吕克伟 , 李宝 . 常数轮多项式互素多方安全判定协议[J]. 中国科学院大学学报, 2004 , 21(2) : 179 -184 . DOI: 10.7523/j.issn.2095-6134.2004.2.006

Abstract

Based on some known constant-round protocols for generating random shared values,for secure multiplicationsand for addition of shared values,we give the Shamirs sharing for polynomials in a finite field K,and constructa protocol allowing a network to securely determine whether two polynomials in K[ x] are co-prime.Security ofthe protocols constructed depends on security of these basic protocols above.

参考文献

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