关键词: 无信赖者的秘密共享, 无证书签名, 无双线性对

Abstract:

Certificateless cryptography based on bilinear pairings resolves the problems of complicated certificate management in the
Public Key Infrastructure （PKI） and inherent key escrow problem in the Identity- Based Cryptography （IBC）. Certificateless
cryptography without pairing eliminates time- consuming bilinear pairings and further increases the efficiency of certificateless
cryptography without losing safety. Threshold signature is an extension of the standard digital signature, in which several signers are
required to provide signature service cooperatively for the same message. Based on secret sharing without a trusted party and
certificateless cryptography without pairing, this paper proposes a certificateless threshold signature scheme without paring and trusted
center, which can be adopted in distributed systems without trusted server. Analysis shows that this scheme is secure and efficient and
does not rely on trusted center.

Key words: secret sharing without a trusted party, certificateless signature, without bilinear pairings