Privately Determining Equality of Rational Numbers

LI Shun-dong; DU Run-meng; YANG Yan-jing; WEI Qiong

doi:10.3969/j.issn.0372-2112.2020.10.009

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Privately Determining Equality of Rational Numbers

更新时间：2023-02-24

- Privately Determining Equality of Rational Numbers
- Acta Electronica Sinica Vol. 48, Issue 10, Pages: 1933-1937(2020)
- 作者机构：
  
  陕西师范大学计算机科学学院,陕西,西安,710062
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.0372-2112.2020.10.009
  CLC： TP309
- Published Online：25 October 2020，
  
  Published：2020
- 稿件说明：
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LI Shun-dong, DU Run-meng, YANG Yan-jing, et al. Privately Determining Equality of Rational Numbers[J]. Acta Electronica Sinica, 2020, 48(10): 1933-1937.
DOI：

LI Shun-dong, DU Run-meng, YANG Yan-jing, et al. Privately Determining Equality of Rational Numbers[J]. Acta Electronica Sinica, 2020, 48(10): 1933-1937. DOI： 10.3969/j.issn.0372-2112.2020.10.009.

摘要

安全多方计算是近年来国际密码学界研究的热点.数据相等保密判定是安全多方计算的一个基本问题，在指纹匹配和关键词搜索等现实问题中有广泛的应用，因此研究数据相等保密判定有重要的理论与实际意义.本文协议I利用Paillier加密算法高效实现了两个有理数相等的保密判定，协议II基于椭圆曲线同态加密算法安全高效计算多个有理数相等判定问题，并且最后给出了恶意模型下的有理数相等保密判定协议.

Abstract

Secure multiparty computation (SMC) has become research focus in the international cryptographic community in recent years.Privately determining equality of data is a basic problem in SMC.It is widely applied to fingerprint matching

keyword searching and so on.Studying privately determining equality of data has important theoretical and practical significance.Protocol I which is based on the Paillier cryptosystem can privately determine equality of two rational numbers.Protocol Ⅱ which is based on elliptic curve cryptosytem can privately determine equality of multiple rational numbers.Finally this paper gives the protocol for privately determining equality of rational numbers in the malicious model.

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