格上无证书线性同态签名方案  

Certificateless Linearly Homomorphic Signature Scheme from Lattices

作　　者：陈智丽 林成骏 杨少军 伍玮 CHEN Zhili;LIN Chengjun;YANG Shaojun;WU Wei(College of Mathematics and Statistics,Fujian Normal University,Fuzhou Fujian 350117,China;Key Laboratory of Analytical Mathematics and Applications(Ministry of Education),Fujian Normal University,Fuzhou Fujian 350117,China;School of Mathematics and Finance,Putian University,Putian Fujian 351131,China;College of Education Sciences,Hong Kong University of Science and Technology(Guangzhou),Guangzhou Guangdong 511453,China)

机构地区：[1]福建师范大学数学与统计学院,福建福州350117 [2]福建师范大学分析数学及应用教育部重点实验室,福建福州350117 [3]莆田学院数学与金融学院,福建莆田351131 [4]香港科技大学(广州)教育科学学院,广东广州511453

出　　处：《莆田学院学报》2024年第5期64-70,共7页Journal of putian University

基　　金：国家自然科学基金资助项目(62272104,62172096)。

摘　　要：鉴于无证书线性同态签名可解决传统线性同态签名中的秘钥托管和证书管理问题,针对现有无证书线性同态签名方案存在无法抵御量子攻击的问题,基于小整数解问题,设计了格上无证书线性同态签名方案,并证明了该方案在自适应选择消息攻击下满足存在不可伪造性(existential unforgeability under adaptive chosen-message attacks,EUF-CMA)。Certificateless linearly homomorphic signatures solve the problems of key escrow and certificate management in traditional linearly homomorphic signatures.To solve the problem that existing certificateless linearly homomorphic signatures schemes cannot resist quantum attacks,a certificateless linearly homomorphic signature scheme from lattices is proposed in this paper.Based on the hardness of the small integer solution problem,our scheme satisfies unforgeability under the adaptive chosen-message attacks.

关 键 词：线性同态签名 无证书 格 小整数解问题 

分 类 号：TN918.91[电子电信—通信与信息系统] O29[电子电信—信息与通信工程]