代理重签名作为一种特殊的数字签名,在电子认证和电子商务方面越来越重要.格密码作为抵抗量子攻击密码体制的代表之一,具有更高的安全性和更高的计算效率,因此基于格出现了一系列代理重签名方案.Tian M M给出了拥有较高效率的身份基代...代理重签名作为一种特殊的数字签名,在电子认证和电子商务方面越来越重要.格密码作为抵抗量子攻击密码体制的代表之一,具有更高的安全性和更高的计算效率,因此基于格出现了一系列代理重签名方案.Tian M M给出了拥有较高效率的身份基代理重签名方案,但该方案中代理重密钥需要委托者和受托者的私钥才能生成,且需要基于身份密钥托管.本文针对这两点不足进行改进,利用无抽样技术和格上的陷门生成算法、原像取样算法,构造了效率较高的格上无证书代理重签名方案.在随机预言机模型下证明了新方案的正确性,并且基于小整数解问题SIS的困难性证明了新方案对外部攻击和内部攻击在选择身份和选择消息下是存在不可伪造的.与已有格上的代理重签名相比,该方案能抵抗中间人攻击,具有更好的安全性和较高的效率.展开更多
Three broadcast schemes for small receiver set using the property of RSA modulus are presented. They can solve the problem of data redundancy when the size of receiver set is small. In the proposed schemes, the center...Three broadcast schemes for small receiver set using the property of RSA modulus are presented. They can solve the problem of data redundancy when the size of receiver set is small. In the proposed schemes, the center uses one key to encrypt the message and can revoke authorization conveniently. Every authorized user only needs to store one decryption key of a constant size. Among these three schemes, the first one has indistinguishability against adaptive chosen ciphertext attack （IND-CCA2） secure, and any collusion of authorized users cannot produce a new decryption key but the sizes of encryption modulus and ciphertext are linear in the number of receivers. In the second scheme, the size of ciphertext is half of the first one and any two authorized users can produce a new decryption key, but the center can identify them using the traitor tracing algorithm. The third one is the most efficient but the center cannot identify the traitors exactly.展开更多
Patarin proposed the dragon scheme, pointed out the insecurity of the dragon algorithm with one hidden monomial and suggested a candidate dragon signature algorithm with a complicated function. This paper presents an ...Patarin proposed the dragon scheme, pointed out the insecurity of the dragon algorithm with one hidden monomial and suggested a candidate dragon signature algorithm with a complicated function. This paper presents an algebraic method to attack the candidate dragon signature algorithm. The attack borrows the basic idea of the attack due to Kipnis and Shamir, and utilizes the underlying algebraic structure of the candidate dragon signature algorithm over the extension field to derive a way to enable the variable Y be viewed as a fixed value. The attack recovers the private keys efficiently when the parameters are n≤2s and D=[logq^d]≤3.展开更多
文摘代理重签名作为一种特殊的数字签名,在电子认证和电子商务方面越来越重要.格密码作为抵抗量子攻击密码体制的代表之一,具有更高的安全性和更高的计算效率,因此基于格出现了一系列代理重签名方案.Tian M M给出了拥有较高效率的身份基代理重签名方案,但该方案中代理重密钥需要委托者和受托者的私钥才能生成,且需要基于身份密钥托管.本文针对这两点不足进行改进,利用无抽样技术和格上的陷门生成算法、原像取样算法,构造了效率较高的格上无证书代理重签名方案.在随机预言机模型下证明了新方案的正确性,并且基于小整数解问题SIS的困难性证明了新方案对外部攻击和内部攻击在选择身份和选择消息下是存在不可伪造的.与已有格上的代理重签名相比,该方案能抵抗中间人攻击,具有更好的安全性和较高的效率.
基金supported by the National Natural Science Foundation of China (60473029)the National Basic Research Program of China (2007CB311201)the Open Foundation of Beijing Institute of Electronic Science and Technology.
文摘Three broadcast schemes for small receiver set using the property of RSA modulus are presented. They can solve the problem of data redundancy when the size of receiver set is small. In the proposed schemes, the center uses one key to encrypt the message and can revoke authorization conveniently. Every authorized user only needs to store one decryption key of a constant size. Among these three schemes, the first one has indistinguishability against adaptive chosen ciphertext attack （IND-CCA2） secure, and any collusion of authorized users cannot produce a new decryption key but the sizes of encryption modulus and ciphertext are linear in the number of receivers. In the second scheme, the size of ciphertext is half of the first one and any two authorized users can produce a new decryption key, but the center can identify them using the traitor tracing algorithm. The third one is the most efficient but the center cannot identify the traitors exactly.
基金supported by the National Natural Science Foundation of China (60970119,60803149)the Youth Science and Technology Foundation of Xi’an University of Architecture and Technology (QN0831)the National Basic Research Program of China (2007CB311201)
文摘Patarin proposed the dragon scheme, pointed out the insecurity of the dragon algorithm with one hidden monomial and suggested a candidate dragon signature algorithm with a complicated function. This paper presents an algebraic method to attack the candidate dragon signature algorithm. The attack borrows the basic idea of the attack due to Kipnis and Shamir, and utilizes the underlying algebraic structure of the candidate dragon signature algorithm over the extension field to derive a way to enable the variable Y be viewed as a fixed value. The attack recovers the private keys efficiently when the parameters are n≤2s and D=[logq^d]≤3.
