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Estimates on the Size of Symbol Weight Codes

机译:符号权重代码大小的估计

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摘要

The study of codes for powerline communications has garnered much interest over the past decade. Various types of codes such as permutation codes, frequency permutation arrays, and constant composition codes have been proposed over the years. In this paper, we study a type of code called bounded symbol weight codes which was first introduced by Versfeld in 2005, and a related family of codes that we term constant symbol weight codes. We provide new upper and lower bounds on the size of bounded symbol weight and constant symbol weight codes. We also give direct and recursive constructions of codes for certain parameters.
机译:在过去的十年中,对电力线通信代码的研究引起了极大的兴趣。这些年来,已经提出了各种类型的代码,例如置换代码,频率置换阵列和常数组成代码。在本文中,我们研究了一种由Versfeld于2005年首次提出的称为有界符号权重代码的代码,以及一个称为常数符号权重代码的相关代码家族。我们为有界符号权重和恒定符号权重代码的大小提供了新的上限和下限。我们还为某些参数给出了直接和递归的代码构造。

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