摘要
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。
Using Learning With Errors(LWE) in the lattice,the equation test is converted to a decryption ability of a random string.It solves the secure two-party computation such as the relationship of an element and a set,set intersection,and set equation etc.The simulations in the semi-honest model show that these two-party solutions are secure and efficient.Compared with protocols based on security assumptions in number theory,the proposed protocols not only have lower computational complexity without exponential operations but can also resist quantum attack because of the assumption on lattice problem.
出处
《电子与信息学报》
EI
CSCD
北大核心
2012年第2期462-467,共6页
Journal of Electronics & Information Technology
基金
国家自然科学基金(61173164
60973134)
广东省自然科学基金(10351806001000000
10151064201000028)资助课题