New LCD MDS codes constructed from generalized Reed–Solomon codes

DOI10.1142/S0219498819501500zbMath1473.94144OpenAlexW2887496486WikidataQ129478167 ScholiaQ129478167MaRDI QIDQ5230116

Shudi Yang, Xueying Shi, Qin Yue

Publication date: 20 August 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498819501500

zbMATH Keywords

generalized Reed-Solomon codesmaximum distance separable codes with complementary duals

Mathematics Subject Classification ID

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

Related Items (11)

Ternary self-orthogonal codes from weakly regular bent functions and their application in LCD codes ⋮ Ternary primitive LCD BCH codes ⋮ A class of double-twisted generalized Reed-Solomon codes ⋮ MDS or NMDS LCD codes from twisted Reed-Solomon codes ⋮ Binary primitive LCD BCH codes ⋮ Construction of MDS twisted Reed-Solomon codes and LCD MDS codes ⋮ A NOTE ON k-GALOIS LCD CODES OVER THE RING ⋮ Constructions of linear codes with small hulls from association schemes ⋮ 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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• Linear codes with complementary duals
• The condition for a cyclic code to have a complementary dual
• Hermitian LCD codes from cyclic codes
• Parameters of LCD BCH codes with two lengths
• New Constructions of MDS Codes With Complementary Duals
• LCD Cyclic Codes Over Finite Fields

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