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中文摘要：
签密是能够在同一算法中提供认证性和机密性的密码方案,而所需要的计算量、通信成本和密文长度比＂先签名后加密＂的分开来实现要低,有较多的实际应用需求。多签密方案是多个签密者对同一明文执行签密操作。该文分析了两个签密方案：Li等（2006）提出的签密方案和Zhang等（2008）提出的多签密方案,并通过选择明文攻击证明二者不能不具有语义安全性,并在此基础上提出了改进的方案,采用隐藏消息明文方法抵抗选择明文攻击,采用多签密成员签名认证的方法防止多成员签密密文被篡改,可抵抗选择明文攻击和选择身份攻击,达到语义安全性。
英文摘要：
Signcryption is a cryptographic primitive that simultaneously performs the functions of both digital signature and encryption in a way that is more efficient than signing and encrypting separately.Multi-signcryption is an extension of signcryption scheme for multi-signers performing together the signcryption operation on the same message.Two signcryption schemes,including signcryption proposed by Li et al.（2006）,and multi-signcryption scheme by Zhang et al.（2008）,are proved not to resist on chosen-plaintext attack and chosen-identity attack under the CPA adversary.Furthermore,the improved signcryption and multi-signcryption schemes are put forward that providing security properties including CPA,CCA2,and public verifiability,which deploy the message hidden method to resist on the chosen-plaintext attack,and multiple signer members authentication to protect the multi-signers＇ ciphertexts not be interpolated.
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