A New Table of Constant Weight Codes of Length Greater than 28

A New Table of Constant Weight Codes of Length Greater than 28
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DOI：
10.37236/1162
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发表时间：
2006-05
期刊：
Electron. J. Comb.
影响因子：
--
通讯作者：
Derek H. Smith;Lesley A. Hughes;S. Perkins
Derek H. Smith;Lesley A. Hughes;S. Perkins
中科院分区：
其他
文献类型：
--
作者：
Derek H. Smith;Lesley A. Hughes;S. Perkins

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现有的等权码表主要局限于长度为$n\leq 28$的码。本文给出了长度为$29 \leq n \leq 63$的码表。创建这些表的动机是将它们应用于无线网络中生成好的跳频列表集。由少数算法生成的所有相关情况在个别情况下通过杂项结构得到增强。它们有时比算法给出更多的码字。
Existing tables of constant weight codes are mainly confined to codes of length $n\leq 28$. This paper presents tables of codes of lengths $29 \leq n \leq 63$. The motivation for creating these tables was their application to the generation of good sets of frequency hopping lists in radio networks. The complete generation of all relevant cases by a small number of algorithms is augmented in individual cases by miscellaneous constructions. These sometimes give a larger number of codewords than the algorithms.