Self-duality of generalized twisted Gabidulin codes

DOI10.3934/AMC.2018042zbMath1402.94115OpenAlexW2894239785WikidataQ129186434 ScholiaQ129186434MaRDI QIDQ1620970

Wolfgang Willems, Kamil Otal, Ferruh Özbudak

Publication date: 15 November 2018

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

Full work available at URL: https://doi.org/10.3934/amc.2018042

zbMATH Keywords

linearized polynomialsrank metric codesself-dual maximum rank distance codesgeneralized twisted Gabidulin codes

Mathematics Subject Classification ID

Other types of codes (94B60) Combinatorial codes (94B25)

Cites Work

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• Non-linear maximum rank distance codes
• Rank-metric codes and their duality theory
• A new family of linear maximum rank distance codes
• Explicit constructions of some non-Gabidulin linear maximum rank distance codes
• On self-dual MRD codes
• Theory of codes with maximum rank distance
• Bilinear forms over a finite field, with applications to coding theory
• Some new non-additive maximum rank distance codes
• Non-linear maximum rank distance codes in the cyclic model for the field reduction of finite geometries
• Linearized polynomials over finite fields revisited
• Additive Rank Metric Codes

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