基于CRT和RSA的指定参与者的门限秘密共享方案  

Threshold Secret Sharing Scheme with Designated Participants Based on CRT and RSA

作　　者：陈宇臻 黄可可 林昌露[1] 

机构地区：[1]福建师范大学数学与统计学院,福建 福州 [2]福建师范大学计算机与网络空间安全学院,福建 福州

出　　处：《应用数学进展》2024年第12期5164-5173,共10页Advances in Applied Mathematics

基　　金：福建省高校产学合作科技计划项目(2023H6012)。

摘　　要：针对医院间共享数据的实际需求,本文基于中国剩余定理结合RSA公钥加密分别设计了指定一个参与者和指定多个参与者的门限秘密共享方案,以实现医疗数据的安全共享。在秘密分发阶段,指定参与者可自主选择秘密份额,且无需在分发者与参与者之间建立安全信道;在秘密重构阶段,必须有特定的参与者参与才能成功恢复原始秘密。对方案的安全性与性能分析表明,所提出方案在效率和安全性上均优于现有方案。In order to meet the practical needs of sharing data between hospitals, this paper proposes a threshold secret sharing scheme for designating one participant and designating multiple participants based on the Chinese remainder theorem combined with RSA public key encryption, so as to realize the secure sharing of medical data. In the secret distribution phase, the designated participants can choose their own secret shares, and there is no need to establish a secure channel between the distributor and the participants;in the secret reconstruction phase, a designated participant must be involved in order to successfully recover the original secret. The analysis of the security and performance of the scheme shows that the proposed scheme is better than the existing scheme in terms of efficiency and security.

关 键 词：门限秘密共享 指定参与者 中国剩余定理 RSA 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]