论文标题
准循环代码
Quasi-Cyclic Codes
论文作者
论文摘要
准循环代码构成了一类重要的代数代码，其中包括环状代码作为特殊的子类。本章首先关注准循环代码的代数结构。基于这些结构特性，一些渐近结果，一些最小距离边界以及进一步的应用，例如准循环代码的某些亚家族的痕量表示和表征。这项调查将以CRC Press发表的“编码理论的简明百科全书”中的一章出现。
Quasi-cyclic codes form an important class of algebraic codes that includes cyclic codes as a special subclass. This chapter focuses on the algebraic structure of quasi-cyclic codes, first. Based on these structural properties, some asymptotic results, a few minimum distance bounds and further applications such as the trace representation and characterization of certain subfamilies of quasi-cyclic codes are elaborated. This survey will appear as a chapter in "A Concise Encyclopedia of Coding Theory" to be published by CRC Press.
