高效的无证书紧致有序多重签名方案

基于无证书公钥密码体制和双线性对技术，提出一种高效、紧致的无证书有序多重签名方案。该方案得到的签名长度固定，不随签名人数的改变而变化，需要的双线性对运算数固定，且签名算法和验证算法的复杂度与签名人数无关。方案的安全性依赖于计算Diffie-Hellman困难问题，在随机预言模型下的分析结果验证了该方案的安全性。

Efficient Certificateless Compact Sequential Multi-signature Scheme

A new efficient certificateless compact sequential multi-signature scheme is proposed based on the certificateless public key cryptosystem and bilinear pairing technology. The scheme is compact, the length of signature is fixed, and does not grow with the number of the singer. Meanwhile, the scheme is efficient. In the scheme, the numbers of bilinear pairing is also fixed, and the computation complicacy of signature algorithm or verify algorithm is independent with the singer＇s number. Furthermore, basing the random oracle, the scheme proves secure against existential forgery under the adaptive chosen message attacks, assuming that the computation Diffie-Hellman problem assumption holds.