中文摘要：

基于身份的多接收者签密算法是基于身份签密算法的扩展,是近来研究的热点。首先基于双线性对提出一个基于身份的多接收者签密算法,并对其安全性和效率进行了分析和比较;结果表明：在随机预言机模型下,该算法是可被证明安全的,而且其计算量和传输量小、效率高,特别适合Ad hoc网络的安全通信。最后,以处理Ad hoc网络中恶意节点为例,阐述了将基于身份的多接收者签密算法用于Ad hoc网络安全通信的方法。同时,这种签密算法的提出能更好地满足实际应用的高安全需求,具有一定应用价值。

英文摘要：

Identity-based multi-recipient signcryption（IDMRSC） is an extension of identity-based signcryttion.At first,a new IDMRSC algorithm is proposed based on bilinear pairings and its security and efficiency are analyzed.The result shows that the algorithm is provable secure in the random oracle model.Furthermore,the algorithm is significantly efficient and of low computation cost and communication overhead,and is very suitable for secure communication in Ad hoc networks.Finally,the method of using IDMRSC algorithm to deal with malicious nodes in Ad hoc networks is expounded.This IDMRSC algorithm can meet the high level secure requirement in practical application and therefore,is of a certain practical value in application.