arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1908.02110cs.CR

Threshold Changeable Secret Sharing Scheme and Its Application to Group Authentication

Fuyou Miao, Yue Yu, Keju Meng, Wenchao Huang, Yan Xiong

英文摘要:

Group oriented applications are getting more and more popular in mobile Internet and call for secure and efficient secret sharing (SS) scheme to meet their requirements. A $(t,n)$ threshold SS scheme divides a secret into $n$ shares such that any $t$ or more than $t$ shares can recover the secret while less than $t$ shares cannot. However, an adversary, even without a valid share, may obtain the secret by impersonating a shareholder to recover the secret with $t$ or more legal shareholders. Therefore, this paper uses linear code to propose a threshold changeable secret sharing (TCSS) scheme, in which threshold should increase from $t$ to the exact number of all participants during secret reconstruction. The scheme does not depend on any computational assumption and realizes asymptotically perfect security. Furthermore, based on the proposed TCSS scheme, a group authentication scheme is constructed, which allows a group user to authenticate whether all users are legal group members at once and thus provides efficient and flexible m-to-m authentication for group oriented applications.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑