Parameters of LCD BCH codes with two lengths

DOI10.3934/amc.2018034zbMath1401.94223OpenAlexW2887058924MaRDI QIDQ1785000

Shudi Yang, Haode Yan, Chengju Li, Hao Liu

Publication date: 27 September 2018

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2018034

zbMATH Keywords

BCH codeslinear codescyclic codesLCD codesreversible code

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15)

Related Items (19)

Multi-point codes from the GGS curves ⋮ Designed distances and parameters of new LCD BCH codes over finite fields ⋮ A class of almost MDS codes ⋮ Some classes of LCD codes and self-orthogonal codes over finite fields ⋮ The Hermitian dual-containing LCD BCH codes and related quantum codes ⋮ Two classes of ternary LCD constacyclic BCH codes ⋮ Two families of negacyclic BCH codes ⋮ Ternary primitive LCD BCH codes ⋮ The maximum designed distances of dual-containing non-primitive BCH codes ⋮ BCH cyclic codes ⋮ Binary primitive LCD BCH codes ⋮ BCH Codes with Minimum Distance Proportional to Code Length ⋮ New entanglement-assisted quantum MDS codes with maximal entanglement ⋮ On some cyclic codes of length \(\frac{q^{2m} - 1}{q + 1} \) ⋮ New LCD MDS codes constructed from generalized Reed–Solomon codes ⋮ The dual-containing primitive BCH codes with the maximum designed distance and their applications to quantum codes ⋮ MDS linear codes with one-dimensional hull ⋮ Some (almost) optimally extendable linear codes ⋮ Linear codes with small hulls in semi-primitive case

Cites Work

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• Narrow-Sense BCH Codes Over $ {\mathrm {GF}}(q)$ With Length $n=\frac {q^{m}-1}{q-1}$
• Two Families of LCD BCH Codes
• LCD Cyclic Codes Over Finite Fields
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