摘要
现有的基于身份签密方案多是基于双(多)线性对构造的,针对其复杂的对运算导致签密效率低下的问题,基于Cocks的身份密码体制提出了一种新的高效签密方案。首先,形式化所提方案的安全模型,给出了保密性和不可伪造性的定义;然后,利用二次剩余难解问题实现了所提方案的具体构造,进一步结合雅可比符号运算巧妙地在一个逻辑步骤内实现了签密算法设计;最后,在随机预言模型下,给出了所提方案满足保密性和不可伪造性的安全性证明。效率分析表明,相对于已有的基于身份签密的方案,所提方案较大幅度地提升了运算效率,同时具备基于身份密码的良好特性。
Most of the existing identity-based signcryption schemes are based on bilinear or multilinear pairing operations construction.To solve the problem of low efficiency caused by complex pair operation,a new efficient signcryption scheme based on the identity cryptosystem of Cocks was proposed.Firstly,the security model of the proposed scheme was formalized,and the definition of confidentiality and unforgeability was given.Secondly,the quadratic residue problem was used to realize the concrete construction of the proposed scheme,and the signature algorithm was designed in a logical step by combining Jacobi symbol operation.Finally,the security proofed that the scheme satisfied the confidentiality and unforgeability was given under the random prediction model.The efficiency analysis shows that compared with the existing identity-based signcryption scheme,the proposed scheme greatly improves the computing efficiency and has good characteristics of identity-based cryptosystem.
作者
彭长根
张小玉
丁红发
杨善慧
PENG Changgen;ZHANG Xiaoyu;DING Hongfa;YANG Shanhui(College of Mathematics and Statistics,State Key Laboratory of Public Big Data,Guizhou University,Guiyang 550025,China;College of Computer Science and Technology,Guizhou University,Guiyang 550025,China;Institute of Cryptography and Data Security,Guizhou University,Guiyang 550025,China;College of Information,Guizhou University of Finance and Economics,Guiyang 550025,China)
出处
《通信学报》
EI
CSCD
北大核心
2020年第12期128-138,共11页
Journal on Communications
基金
国家自然科学基金资助项目(No.U1836205,No.61662009,No.61772008)
贵州省科技计划基金资助项目(No.[2018]3001,No.[2018]3007,No.[2017]3002,No.[2019]2004,No.[2018]2162,No.[2018]2159,No.[2020]5017,No.[2020]1Y265)
贵州省高等学校创新人才团队基金资助项目(No.[2013]09)
“十三五”国家密码发展基金资助项目(No.MMJJ20170129)。