Dimensions of three types of BCH codes over \(\mathrm{GF}(q)\)

DOI10.1016/j.disc.2017.04.001zbMath1422.94051arXiv1608.03027OpenAlexW2489562663MaRDI QIDQ2397534

Cunsheng Ding, Hao Liu, Chengju Li

Publication date: 22 May 2017

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.03027

zbMATH Keywords

linear codecyclic codeBCH codereversible cyclic code

Mathematics Subject Classification ID

Cyclic codes (94B15) Combinatorial codes (94B25)

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Cites Work

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• The dimension and minimum distance of two classes of primitive BCH codes
• Minimum cyclotomic coset representatives and their applications to BCH codes and Goppa codes
• Parameters of Several Classes of BCH Codes
• The Bose and Minimum Distance of a Class of BCH Codes
• On a class of error correcting binary group codes
• On Quantum and Classical BCH Codes
• On the number of information symbols in Bose-Chaudhuri codes
• LCD Cyclic Codes Over Finite Fields
• A Class of Error-Correcting Codes in $p^m $ Symbols