Galois LCD codes over mixed alphabets

DOI10.1016/j.ffa.2022.102125OpenAlexW4306697274MaRDI QIDQ2101183

Alexandre Fotue Tabue, Maryam Bajalan, Edgar Martínez-Moro, Joël Kabore

Publication date: 28 November 2022

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

Full work available at URL: https://arxiv.org/abs/2202.02843

zbMATH Keywords

Gray mapfinite chain ringlinear complementary dual codesGalois duality

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Other types of codes (94B60) Extension theory of commutative rings (13B02)

Cites Work

• Complementary dual codes for counter-measures to side-channel attacks
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• On \(\mathbb{Z}_2 \mathbb{Z}_4\)-additive complementary dual codes and related LCD codes
• On the structure of \(\mathbb{Z}_2 \mathbb{Z}_2 [u^3\)-linear and cyclic codes]
• On trace codes and Galois invariance over finite commutative chain rings
• On ℤ₂ℤ₂[u-additive codes]
• On ℤ_p^rℤ_p^s-additive codes
• The Gray Image of Codes over Finite Chain Rings
• Gray isometries for finite chain rings and a nonlinear ternary (36, 3/sup 12/, 15) code
• New generalizations of the Reed-Muller codes--I: Primitive codes
• Unnamed Item

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