Optimal Conflict-Avoiding Codes of Even Length and Weight 3
Optimal Conflict-Avoiding Codes of Even Length and Weight 3
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DOI：
10.1109/tit.2010.2069270
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发表时间：
2010-11
影响因子：
2.5
通讯作者：
Hung-Lin Fu;Yi-Hean Lin;Miwako Mishima
中科院分区：
文献类型：
--
作者：
Hung-Lin Fu;Yi-Hean Lin;Miwako Mishima
通过引入扩展奇序列的新概念，给出了长度为$n\EQUV4\pmod{8}$和重量为3的最优冲突避免码的直接构造。文中还给出了这些奇序列的构造。结果，利用先前已知的结果，长度和重量为偶数的最佳冲突避免码的大小的谱完全确定。
Direct constructions for optimal conflict-avoiding codes of length $n \equiv 4 \pmod{8}$ and weight 3 are provided by bringing in a new concept called an extended odd sequence. Constructions for those odd sequences are also given in this paper. As a consequence, with previously known results, the spectrum of the size of optimal conflict-avoiding codes of even length and weight 3 is completely settled.