基于Newton插值的具有前向安全性的可验证多秘密共享方案  

A Verifiable Multi-secret Sharing Scheme with Forward Security Based on Newton Interpolation

作　　者：刘勇 杜伟章[1] LIU Yong;DU Weizhang(School of Computer and Communication Engineering,Changsha University of Science and Technology,Changsha 410114,China)

机构地区：[1]长沙理工大学,计算机与通信工程学院,湖南长沙410114

出　　处：《微型电脑应用》2023年第3期139-141,共3页Microcomputer Applications

摘　　要：基于Newton插值,提出一个新的可验证的具有前向安全性的(t,n)门限秘密共享方案。方案中,利用Newton插值法构造多项式进行秘密的分发和恢复秘密;利用椭圆曲线上的双线性对理论,验证分发者的诚实性和分发过程的有效性;方案具有前向安全性,假设敌手窃取前一时间段的秘密也无法获取任何有效信息,有效地降低了秘密泄露带来的风险。Based on Newton interpolation,a new verifiable(t,n)threshold secret sharing scheme with forward security is proposed.In the scheme,Newton interpolation method is used to construct polynomial for secret distribution and recovery.The scheme uses the bilinear pair theory on the elliptic curve to verify the honesty of the distributor and the effectiveness of the distribution process.It has forward security,and the adversary cannot get any effective information even if he steals the previous period of secret,which effectively reduces the risk of secret leakage.

关 键 词：多秘密共享 Newton插值 双线性对 前向安全性 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]