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| 1 | Extended multivariate public key cryptosystems with secure encryption function显示文摘Advances in quantum computers pose great threats on the currently used public key cryptographic algorithms such as RSA and ECC. As a promising candidate secure against attackers equipped with quantum computational power, multivariate public key cryptosystems (MPKCs) have attracted increasing attention in recently years. Unfortunately, the existing MPKCs can only be used as a multivariate signature scheme, and it remains unknown how to construct an efficient MPKC enabling secure encryption. Furthermore, some multivariate signature schemes have been shown insecure in recent years, and it is also not trivial to build MPKC which can serve as a secure signature scheme. By employing the basic MQ-trapdoors, this paper proposes a novel MPKC and shows how it can be used as a multivariate signature scheme and a multivariate encryption scheme, respectively. The goal is achieved by incorporating our new hash authentication techniques and some modification methods such as the Shamir's minus method. Thorough analysis shows that our schemes are secure and efficient. Our MPKC gives a positive response to the challenges in multivariate public key cryptography. | WANG HouZhen 1,2 , ZHANG HuanGuo 1,2 , WANG ZhangYi 1,2 & TANG Ming 1,2 1 The Key Laboratory of Aerospace Information Security and Trusted Computing, Ministry of Education, School of Computer, Wuhan University, Wuhan 430079, China 2 State Key Laboratory of Software Engineering, Wuhan University, Wuhan 430072, China | 2011 | Science China(Information Sciences)2011，54，6： | 26 |
| 2 | Capability of evolutionary cryptosystems against differential cryptanalysis显示文摘The evolutionary cryptosystem is a new cryptosystem.This paper studies its security level resisting against differential cryptanalysis.It is shown that the evolutionary cryptosystem possesses higher resistance than its initial fixed cryptosystem against differential cryptanalysis.On the basis of the relationship among the data complexity,the bit advantage and the success rate of differential cryptanalysis,it is proven that more data is needed for attacking the evolutionary cryptosystem when the bit advantage and success rate are identical.Moreover,it is shown that the time complexity for attacking the evolutionary cryptosystem is higher than that of differential attacking its initial fixed cryptosystem with the same amount of plaintext-ciphertext pairs.The research indicates that the evolutionary cryptosystem is more robust than its initial fixed cryptosystem against differential cryptanalysis. | ZHANG HuanGuo 1,2 ,LI ChunLei 1,2 & TANG Ming 1,2 1 School of Computer,Wuhan University,Wuhan 430072,China 2 Key Laboratory of Aerospace Information Security and Trusted Computing of Ministry of Education,Wuhan University,Wuhan 430072,China | 2011 | Science China(Information Sciences)2011，54，10： | 11 |
| 3 | 一类具有安全加密功能的扩展MQ公钥密码体制显示文摘量子计算机的发展,对目前广泛应用的传统公钥密码体制(如RSA,ECC等)构成了严重的威胁.MQ公钥密码是目前抗量子计算密码领域中最为活跃的热点研究课题之一,但是目前MQ公钥密码只能用于签名,很难构造出安全的加密算法.同时,随着近年来多个MQ签名算法相继被攻破,人们对MQ类公钥密码体制的安全性产生了质疑.本文通过引入Hash认证技术、并结合传统MQ公钥密码算法,提出了一种扩展MQ公钥密码体制,它可看作是对传统MQ公钥密码算法结构的本质拓展.利用本文引入的Hash认证技术可有效地提升MQ签名算法的安全性,同时也可据此设计出安全高效的MQ公钥加密方法. | 王后珍 张焕国 王张宜 唐明 | 2011 | 中国科学:信息科学2011，41，11： | 11 |
| 4 | 量子计算的挑战与思考显示文摘量子计算时代使用什么密码,是摆在我们面前的紧迫的战略问题,研究并建立我国独立自主的抗量子计算密码是唯一正确的选择.从基于HASH函数的数字签名、基于格的公钥密码、MQ公钥密码、基于纠错码的公钥密码4个方面讨论了抗量子密码的发展现状,介绍了自己的研究工作,并从量子信息论、量子计算理论、量子计算环境下的密码安全性、抗量子计算密码的构造理论与关键技术4个方面给出了进一步研究的建议. | 张焕国 管海明 王后珍 | 2011 | 云南民族大学学报(自然科学版)2011，20，5： | 8 |
| 5 | Evolutionary cryptography against multidimensional linear cryptanalysis显示文摘The evolutionary cryptosystem is a new cryptosystem proposed by a Chinese researcher recently. This paper studies its security level resisting against multidimensional linear cryptanalysis in this paper. It is shown that the evolutionary cryptosystem possesses higher resistance than its initial fixed cryptosystem does for resisting against multidimensional linear cryptanalysis. Multidimensional generalizations of Matsui's Algorithm 1 and Algorithm 2 based on log-likelihood ratio (LLR) statistics are introduced. By the relationship among the data complexity N , the bit advantage a and the success rate P S of these two multidimensional generalized algorithms, it is proven that more data is needed for attacking the evolutionary cryptosystem than that is needed for attacking its initial fixed cryptosystem when the bit advantage and success rate are identical. Moreover, it is shown that both time complexity and memory complexity for attacking the evolutionary cryptosystem are higher than that of attacking its initial fixed cryptosystem with the same data complexity. The research indicates that the evolutionary cryptosystem is more robust than its initial fixed cryptosystem against the multidimensional linear cryptanalysis. | ZHANG HuanGuo LI ChunLei TANG Ming | 2011 | Science China(Information Sciences)2011，54，12： | 5 |
| 6 | 基于纠错编码的多变量公钥加密方案(英文)显示文摘Advances in quantum computers pose potential threats to the currently used public-key cryptographic algorithms such as RSA and ECC.As a promising candidate against attackers equipped with quantum computational power,Multivariate Public-Key Cryptosystems(MPKCs)has attracted increasing attention in recently years.Unfortunately,the existing MPKCs can only be used as multivariate signature schemes,and the way to construct an efficient MPKC enabling secure encryption remains unknown.By employing the basic MQ-trapdoors,this paper proposes a novel multivariate encryption scheme by combining MPKCs and code-based public-key encryption schemes.Our new construction gives a positive response to the challenges in multivariate public key cryptography.Thorough analysis shows that our scheme is secure and efficient,and its private key size is about 10 times smaller than that of McEliece-type cryptosystems. | 王后珍 沈昌祥 徐正全 张焕国 | 2011 | China Communications2011，8，4： | 4 |
| 7 | 演化密码对抗多重线性密码分析能力的研究显示文摘演化密码是我国学者提出的一种新型密码.文中对演化密码对抗多重线性密码分析的能力进行研究,研究表明演化密码对抗多重线性攻击方面的能力高于普通固定算法密码.文中介绍了基于对数似然比(LLR)统计方法的两种多重线性密码分析方法,这两种方法利用多个线性逼近式分别扩展了Matsui最初提出的线性攻击算法1和算法2.在考察这两种算法的数据复杂度N、比特优势a,以及预期成功率PS三者关系的基础上,证明了在比特优势和预期成功率相同的条件下,攻击演化密码的数据复杂度大于攻击固定算法密码的数据复杂度,并论述了在数据复杂度N相同的情况下,攻击演化密码的时间复杂度和空间复杂度都明显高于攻击固定算法密码的情形.这表明演化密码在对抗多重线性攻击方面的安全性高于固定算法密码. | 张焕国 李春雷 唐明 | 2012 | 中国科学:信息科学2012，42，5： | 2 |
| 8 | 基于丢番图内核的新型哈希函数显示文摘传统的哈希函数,如消息摘要算法第5版(MD5)、安全散列算法(SHA-1)等,其抗原象攻击能力依赖于大量杂凑运算的无规律性,安全性无法从理论上得到证明,一些常用的哈希函数已经发现碰撞.提出了一种带有丢番图内核的新型哈希函数(diophantine equation kernel based Hash algorithm,DEKHA).DEKHA以传统哈希架构为主体,在保证计算效率的基础上,添加了一个内核,该内核是由一种数学难题——丢番图问题构建,可保障其安全性.讨论了DEKHA的安全性、性能和效率,并通过仿真实验进行分析比较,结果表明该DEKHA可以满足哈希函数的所有效率和性能需求,与其他哈希函数具有可比性.由于DEKHA很好的单向性及实用性,可以很方便地在密码学应用中使用. | 郑建德 许云源 | 2013 | 厦门大学学报(自然科学版)2013，52，1： | 0 |
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