一种共享验证门限的多代理多重签名方案

针对已有的共享可验证门限多代理多重签名方案不能抵抗合谋攻击及不真正具有共享验证的问题,基于大数分解的困难性(RSA)、离散对数问题(DLP)、单向哈希函数和(t,n)门限共享机制,提出了一种新的共享可验证的门限多代理多重签名方案。该方案中,任意t1个或更多的原始签名者可以将签名权委托给代理签名群;任意t2个或更多的代理签名者可以代表原始签名者依据授权进行代理签名;任意t3个或更多的指定验证者能够合作完成对代理签名有效性的验证。结果表明,该签名方案能够满足代理签名的安全性要求。

A shared verification threshold multi-proxy multi-signature scheme

This paper features a novel shared verification threshold multi-proxy multi-signature scheme as an alternative to existing shared verification threshold multi-proxy multi-signature scheme which suffers from its inability to resist collusion attack and its actual absence of the property of shared verification. This scheme draws on the difficulty in factorizing large integer（RSA）, discrete logarithm problem（DLP）, the one-way Hash function, and the （t, n） threshold secret sharing scheme. The scheme is unique in that any tI or more of original signers can delegate the signing capability to the proxy group; any t2 or more of proxy signers can sign a message on behalf of the original group for a specified verifier group; and any t3 or more of verifiers can perform a joint verification of the validity of the proxy signature from the proxy group. The analysis shows that the Scheme can fulfill the security requirements of proxy signature.