Let sbea positive integer,p be an odd prime,q=ps,and let Fq be a finite field of q elements.Let Nq be the number of solu......

Reed-Solomon codes are widely used to establish a reliable channel to transmit information in digital communication whic......

The authentication codes with arbitration are able to solve dispute between the sender and the receiver.The authenticati......

介绍了严格最佳和准最佳(ν，κ，1)光正交码的定义，阐述了它们与(ν，κ，1)循环差集族的关系。基于Wilson均匀分布差引理和初等数论的基本......

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　　Permutation polynomials (PPs) of the form (xq-x + c)q2-1/3+1 + x over Fq2 were presented by Li et al.(Finite Fields ......

　　Inversions in small finite fields are playing a key role in many areas.We present techniques to exploit binary trees......

为在特征二的有限的域上的二次的表格的协会计划，这个协会计划的参数被使用矩阵技巧讨论。Forn = 2， 3，所有参数被计算。为 n ? 3，参数......

本文给出Ｇａｌｏｉｓ环Ｒ上的基本不可约多项式ｆ（ｘ）的根的具体表达式和其阶的联系；由此，对本原多项式和次本原多项式分别推导出代数判别式，其主要部分分......

In this paper, the possible value of the differential uniformity of a function over finite fields is discussed. It is pr......

给出一般线性群的一个新的可迁性定理，构造了一类新的ＰＢＩＢ设计。...

设ｄ１，…，ｄｎ是ｎ人正整０九，Ｉ表示方程Σ（ｎ，ｉ＝１）ｘｉ／ｄｉ／≡０（ｍｏｄ１）的解的个数。本文计算Ｉ的两种已知减缩过程间的关系，还改进了Ｌ的下界，这里Ｌ表示当Ｉ〉０时，与其解所对应的Ｉ个正整......