现有的多重签名方案和门限签名方案都不允许任何签名成员产生错误的签名,然而在现实世界里,有很多情形并不需要所有签名者都给出正确的签名。该文提出了一种新的带门限值的多重签名方案。在新方案中,允许某些签名者弃权或者产生错误的签名,只要有效的单用户签名数不小于事先规定的门限值,即可产生有效的多重签名。与现有的门限签名方案相比,新方案中门限概念的实现并没有借助Shamir的秘密共享技术,新方案中的门限值可方便地进行更改,并可抵抗针对秘密共享技术的相应攻击。 None of the existing multi-signature schemes and threshold-signature schemes allow any signature member to generate the wrong signature. However, in the real world, many situations do not require that all signers give the correct signature. This paper presents a new multi-signature scheme with threshold. In the new scheme, some signers are allowed to abstain or generate the wrong signatures, and a valid multiple signatures can be generated as long as the number of effective single-user signatures is not less than the predetermined threshold. Compared with the existing threshold signature scheme, the implementation of the threshold concept in the new scheme does not rely on Shamir’s secret sharing technology. The threshold in the new scheme can be easily changed and the corresponding attack on the secret sharing technology can be resisted.