973计划任务书填报说明 - ccs-清华大学密码理论与技术研究中心.ppt

代表性成果三： 利用代数方法设计对称密码组件（2） 根据hitag2流密码中滤波函数的构造特点, 抽象出了嵌套函数的概念, 并且研究了嵌套函数的相关密码学性质，如: 平衡性, 代数次数, 非线性度, 代数免疫度等。 通过限制函数的代数免疫度的计算与理论推导相结合, 确定出hitag2流密码中嵌套函数的代数免疫度。 已有的分解布尔函数来确定代数免疫度的算法不一定总能得到结果, 我们的方法一定可以得到布尔函数的代数免疫度, 而且可以迭代应用。 Cryptographic properties of nested functions and algebraic immunity of the Boolean function in Hitag2 stream cipher. Cryptography and Communications (accepted). * （三）研究工作的主要进展：论文 Zhangjie Huang and Lei Hu and Jun Xu and Liqiang Peng and YonghongXie, Partial Key Exposure Attacks on Takagis Variant of RSA, ACNS 2014? Liqiang Peng, Lei Hu, Jun Xu, Zhangjie Huang, YonghongXie, Further Improvement of Factoring RSA Moduli with Implicit Hint, AFRICACRYPT 2014. Jun Xu, Lei Hu, Zhangjie Huang and Liqiang Peng, Modular Inversion Hidden Number Problem Revisited, ISPEC 2014. PENG Liqiang, ZUO Jinyin, Hu Lei, XU Jun, Analysis of Two Public Key Cryptosystems Based on Randomized Knapsack Sequences, Chinese Journal of Electronics, 23(1): 175-178, 2014. ZhengbangZha, Lei Hu, Constructing new APN functions from known PN functions, International Journal of Foundations of Computer Science, Vol. 24, No. 8 (2013) 1209–1219, published in 2014. Weijia Wang, Lei Hu: A generic homomorphic MAC construction for authentication in network coding. Security and Communication Networks 7(2): 429-433 (2014). Xiwang Cao, Lei Hu, ZhengbangZha, Constructing permutation polynomials from piecewise permutations, Finite Fields and Their Applications, 26: 162-174 (2014). ZhengbangZha, Lei Hua, SiweiSun,Constructing new differentially 4-uniform permutations from the inverse function, Finite Fields and Their Applications, 25: 64-78 (2014). ZiranTu, Xiangyong Zeng, Lei Hu, Several classes of complete permutation polynomials, Finite Fields and Their Applications, 25 (2014) 182-193. * （三）研究工作的主要进展：论文 M.Lu, D. Wan, L.-P. Wang, and X.-D. Zhang, Algebraic Cayley Graphs over Finite Fields， Finite Fields and Their Applications, Volume 28, July 2014, 43-56. Zhenyu Huang, Dongdai Lin: A New Meth