基于可验证随机数的前后向安全群签名方案

Signature scheme of forward and backward security group based on verifiable random number

利用有限域上的插值多项式给出一类可验证随机数构造的方法,将此可验证随机数应用到群签名方案中,提出可验证随机函数在群签名系统中的应用方案,然后对方案的安全性进行分析,并与其他方案进行对比.结果表明,此方案具有匿名性、可追踪性、不可伪造性等特性,并且能够灵活添加删除成员,能轻松实现前向安全性和后向安全性,而且在签名的不同阶段不需要重新设置成员的私钥,和其他方案相比具有一定的优越性.

By means of the interpolation polynomial on finite field,a construction method of a class of verifiable random number was given and the verifiable random number was applied to group signature scheme,so that an applied scheme of verifiable random function in group signature system was proposed.Then the security of the scheme was analyzed and the scheme was compared with other ones.The result showed that the scheme was anonymous,traceable,unforgeable and so on.Member adding and removing could be expediently realized and the forward and backward security could be easily realized,also.And private keys of the members were unnecessary to be reset in different signature stages.Compared with other schemes,the scheme proposed exhibited certain superiority.