Complete b-symbol weight distribution of some irreducible cyclic codes

被引:0
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作者
Hongwei Zhu
Minjia Shi
Ferruh Özbudak
机构
[1] Anhui University,Key Laboratory of Intelligent Computing Signal Processing, Ministry of Education, School of Mathematical Sciences
[2] Middle East Technical University,Department of Mathematics and Institute of Applied Mathematics
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关键词
Cyclic code; -symbol error; -symbol Hamming weight distribution; Irreducible cyclic code; 94B14; 11T71; 94B27;
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摘要
Recently, b-symbol codes are proposed to protect against b-symbol errors in b-symbol read channels. It is an interesting subject of study to consider the complete b-symbol weight distribution of cyclic codes since b-symbol metric is a generalization for Hamming metric. The complete b-symbol Hamming weight distribution of irreducible cyclic codes is known in only a few cases. In this paper, we give a complete b-symbol Hamming weight distribution of a class of irreducible cyclic codes with two nonzero b-symbol Hamming weights.
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页码:1113 / 1125
页数:12
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