Another generalisation of the binary Reed-Muller codes and its applications

DOI10.1016/j.ffa.2018.06.006zbMath1393.94928OpenAlexW2809498776WikidataQ129650462 ScholiaQ129650462MaRDI QIDQ1654499

Cunsheng Ding, Chunlei Li, Yongbo Xia

Publication date: 8 August 2018

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2018.06.006

zbMATH Keywords

linear code\(t\)-designcyclic codeReed-Muller codegeneralised Reed-Muller code

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Linear codes (general theory) (94B05) Cyclic codes (94B15)

Related Items

Some \(t\)-designs from BCH codes, Infinite families of \(t\)-designs and strongly regular graphs from punctured codes, Steiner systems \(S(2,4, 2^m)\) supported by a family of extended cyclic codes, Two classes of constacyclic codes with variable parameters, The minimum distance of new generalisations of the punctured binary Reed-Muller codes, Steiner systems \(S(2, 4, \frac{3^m-1}{2})\) and 2-designs from ternary linear codes of length \(\frac{3^m-1}{2}\)

Uses Software

• Code Tables

Cites Work

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