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Cryptanalysis of Chang-Lin-Lam’s ID-based Multisignature Scheme

机译:昌霖林基于身份证的多重签名方案的密码学分析

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Recently, Chang, Lin and Lam proposed an ID-based multisignature scheme without reblocking and predetermined signing order. Their scheme adopts users’id information as the public keys instead of random integers. They has claimed it is computationally infeasible to derive the private key of Key Authentication Center (KAC) from the private keys of the authorized users, and the scheme has the property of resistance against collaboration attacks. However, we observed that their scheme cannot be applied in real world, for there are two defects in their scheme and the scheme doesn’t satisfy with what they has claimed. The two drawbacks are: (1) not having an efficient verification algorithm (the signature almost can not be verified for the exponent is too large). (2) Even if the signature can be verified, there would exist an forger within the same computation complexity of verification algorithm who can break the scheme (In other words, any one of the signing group can forge on any message for the whole signing group).
机译:最近,Chang,Lin和Lam提出了一种基于ID的多重签名方案,该方案无需重新分组和预先确定的签名顺序。他们的方案采用用户的ID信息作为公钥,而不是随机整数。他们声称从授权用户的私钥中得出密钥认证中心(KAC)的私钥在计算上是不可行的,并且该方案具有抵抗协作攻击的特性。但是,我们发现他们的方案无法在现实世界中应用,因为他们的方案有两个缺陷,并且该方案无法满足他们的要求。两个缺点是:(1)没有有效的验证算法(对于指数太大,几乎无法验证签名)。 (2)即使签名可以被验证,在验证算法的相同计算复杂度内仍将存在一个伪造者,该伪造者可以破坏该方案(换句话说,签名组中的任何一个都可以伪造整个签名组的任何消息) )。

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