利用格上LWE(Leaning With Error)困难性假设,将保密地比较两个数是否相等转化为判断对随机串加密后的解密是否正确,有效地解决了数和集合关系的判定、求集合交集和集合相等安全多方计算问题,并利用模拟范例证明该协议在半诚实模型下是...利用格上LWE(Leaning With Error)困难性假设,将保密地比较两个数是否相等转化为判断对随机串加密后的解密是否正确,有效地解决了数和集合关系的判定、求集合交集和集合相等安全多方计算问题,并利用模拟范例证明该协议在半诚实模型下是安全的。与传统的基于数论的协议相比,该方案由于不需要模指数运算,因而具有较低的计算复杂度,同时因其基于格中困难问题,因而能抵抗量子攻击。展开更多
Secure multiparty computation has become a central research focus in the international cryptographic community. Secure comparing two sets is an important problem in secure multiparty computation. The research on priva...Secure multiparty computation has become a central research focus in the international cryptographic community. Secure comparing two sets is an important problem in secure multiparty computation. The research on privately determining whether two sets are equal has not been investigated. This study solves the problem by mapping these sets into natural numbers and then comparing correspond- ing numbers, We propose two secure multiparty computation protocols for comparing two sets. It is proved by well-accepted simulation paradigm that these solutions are private in semi-honest model. These solutions have important significance in constructing other secure multiparty computation protocols.展开更多
文摘利用格上LWE(Leaning With Error)困难性假设,将保密地比较两个数是否相等转化为判断对随机串加密后的解密是否正确,有效地解决了数和集合关系的判定、求集合交集和集合相等安全多方计算问题,并利用模拟范例证明该协议在半诚实模型下是安全的。与传统的基于数论的协议相比,该方案由于不需要模指数运算,因而具有较低的计算复杂度,同时因其基于格中困难问题,因而能抵抗量子攻击。
基金Supported by the National Natural Science Foundation of China (Grant No. 60673065)the High Technology Research and Development Program of China (Grant No. 2005AA114160)
文摘Secure multiparty computation has become a central research focus in the international cryptographic community. Secure comparing two sets is an important problem in secure multiparty computation. The research on privately determining whether two sets are equal has not been investigated. This study solves the problem by mapping these sets into natural numbers and then comparing correspond- ing numbers, We propose two secure multiparty computation protocols for comparing two sets. It is proved by well-accepted simulation paradigm that these solutions are private in semi-honest model. These solutions have important significance in constructing other secure multiparty computation protocols.
