东华大学学报（英文版）2024，Vol.41Issue(4)：447-450,4.DOI:10.19884/j.1672-5220.202405005
关于Cocks基于身份的加密方案的评述
Some Remarks on Cocks'Identity-Based Encryption Scheme
摘要
Abstract
The theory of quadratic residues plays an important role in cryptography.In 2001,Cocks developed an identity-based encryption(IBE)scheme based on quadratic residues,resolving Shamir's 17-year-old open problem.However,a notable drawback of Cocks'scheme is the significant expansion of the ciphertext,and some of its limitations have been addressed in subsequent research.Recently,Cotan and Teşeleanu highlighted that previous studies on Cocks'scheme relied on a trial-and-error method based on Jacobi symbols to generate the necessary parameters for the encryption process.They enhanced the encryption speed of Cocks'scheme by eliminating this trial-and-error method.Based on security analysis,this study concludes that the security of Cotan-Teşeleanu's proposal cannot be directly derived from the security of the original Cocks'scheme.Furthermore,by adopting the Cotan-Teşeleanu method and introducing an additional variable as a public element,this study develops a similar enhancement scheme that not only accelerates the encryption speed but also provides security equivalent to the original Cocks'scheme.关键词
基于身份的加密/二次剩余/安全性/Cocks基于身份的加密方案Key words
identity-based encryption(IBE)/quadratic residue/security/Cocks'IBE scheme分类
信息技术与安全科学引用本文复制引用
赵晓鹏..关于Cocks基于身份的加密方案的评述[J].东华大学学报（英文版）,2024,41(4):447-450,4.基金项目
Rising-Star Program of Shanghai 2023 Science and Technology Innovation Action Plan(Yangfan Special Project),China(No.23YF1401000) （Yangfan Special Project）
Fundamental Research Funds for the Central Universities,China(No.2232022D-25) （No.2232022D-25）
