关键词: 数字签名, 无证书, 代理签名, 门限多代理多签名

Abstract: This paper proposed a certificateless threshold multi-proxy multi-signature scheme by adopting certificateless cryptography, multi-proxy multi-signature and secret sharing scheme. In this scheme, original signers could cooperatively finish proxy-delegation process only when the number of original signers went up to threshold value, and proxy signers could cooperatively generate threshold multi-proxy multi-signature only when the number of proxy signers went up to threshold value. By analyzing the scheme, it is concluded that the scheme has the security properties which multi-proxy multi-signature and threshold signature need, such as resisting frame attack and conspiracy attack which is caused by inside members.

Key words: digital signature, certificateless, proxy signature, threshold multi-proxy multi-signature