[1]亢佳,杨晓艺,刘新. 集合间基本操作的多方保密计算[J].计算机技术与发展,2017,27(08):110-114.
　KANG Jia,YANG Xiao-yi,LIU Xin. Secure Multi-party Computation of Basic Operation among Sets[J].,2017,27(08):110-114.
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 集合间基本操作的多方保密计算()
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《计算机技术与发展》[ISSN:1006-6977/CN:61-1281/TN]

卷:
27
期数:
2017年08期
页码:
110-114
栏目:
安全与防范
出版日期:
2017-08-10

文章信息/Info

Title:
 Secure Multi-party Computation of Basic Operation among Sets
文章编号:
1673-629X（2017)08-0110-05
作者:
 亢佳; 杨晓艺; 刘新
 陕西师范大学 计算机科学学院,
Author(s):
 KANG Jia; YANG Xiao-yi; LIU Xin
关键词:
 ; 多方保密计算; 集合交集; 集合并集; 加法同态
Keywords:
 ; secure multi-party computation; set intersection; set union; addition homomorphism
分类号:
TP31
文献标志码:
A
摘要:
 多方保密计算是近年来国际密码学界研究的热点问题.集合是科学研究中一个非常重要的概念,其在数学领域具有无可比拟的特殊重要性.现实生活中的许多问题可以转化成集合之间的基本操作问题来解决.对集合间的保密操作,如保密地计算集合交集、并集是多方保密计算中的一个重要方面,在保密的数据挖掘,保密的数据库查询等方面有重要的意义,在现实生活中也有广泛的应用前景和实用价值.为了解决集合之间基本操作的保密问题,提出了基于Paillier加法同态加密算法的安全两数差平方计算协议和求解集合交集的保密协议,并设计了基于百万富翁协议的求解集合并集的保密协议.理论分析表明,基于Paillier加法同态加密算法的安全两数差平方计算协议以及求解集合交集与并集的保密协议具有较好的正确性和安全性.
Abstract:
 Secure multi-party computation is a focus in international cryptographic community study in recent years.The set is a very important concept in scientific research and has an unparalleled special importance in the field of mathematics.Many problems in real life can be solved by using basic operation between sets.The private operation of sets is an important aspect on secure multi-party computation,such as problem of privately determining whether two sets are intersecting and of set union.The secure multi-party computation for basic operation between sets has most important significance on private data mining and confidential database query and also has broad application perspectives and practical value at the same time in real life.In order to solve the problems of set operation,a protocol about two difference square calculation based on the addition homomorphism of Paillier encryption algorithm is presented,which is employed to privately determine whether two sets are intersecting and designed to solve the set union problems depended on Yao’s Millionaires’ Problem.The theoretical analysis shows that the they have both high accuracy and safety.

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更新日期/Last Update: 2017-09-21