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    题名 作者 年代 出处 被引量
1Optimal p-ary Codes from One-weight Linear Codes over Zpm显示文摘SHI Minjia 2013Chinese Journal of Electronics2013,22,4:9
2On Nonlinearity of S-Boxes and Their Related Binary Codes显示文摘The nonlinearity of S-boxes and their related supercodes of the first order Reed-Muller code are discussed. Based on the properties of multi-output bent functions and almost bent functions, we determine the maximum size of linear supercodes of the first order ReedMuller code which have optimal or suboptimal minimum distance, and we also give the weight distributions of these supercodes which achieve the best possible size. Furthermore, an upper bound on the minimum distance of a class of binary linear codes is presented, which yields a new upper bound on the nonlinearity of S-boxes. The new bound on nonlinearity improves a bound given by Carlet et al. in 2007.LIU Jian CHEN Lusheng 2016Chinese Journal of Electronics2016,25,1:1
3两类基于完全非线性函数的线性码显示文摘研究了Carlet等人所定义的两类基于完全非线性函数的线性码,给出了这两类线性码的生成矩阵.证明了对应的线性码是循环码时的两个充分条件.并指出两个完全非线性函数CCZ等价的充分必要条件是它们所对应的一类线性码置换等价.高莹 梅佳 2014系统科学与数学2014,34,2:0
4Three Classes of Optimal Ternary Cyclic Codes and the Weight Distributions of Their Duals显示文摘Cyclic codes as a subclass of linear codes have wide applications in communication systems,consumer electronics and data storage systems,due to their efficient encoding and decoding algorithms.We construct three classes of optimal ternary cyclic codes,which meet some certain bound.The weight distributions of their duals are also completely determined.The results show that their duals have few nonzero weights.LI Lanqiang ZHU Shixin LIU Li 2019Chinese Journal of Electronics2019,28,4:0
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