Linear codes over \(\mathbb{F}_q\times (\mathbb{F}_q+v\mathbb{F}_q)\)

DOI10.1007/s12190-023-01893-5zbMath1529.94051OpenAlexW4383618435MaRDI QIDQ6046907

Mevlüt Tekkoyun, Ergün Yaraneri

Publication date: 6 October 2023

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-023-01893-5

zbMATH Keywords

linear codescyclic codescodes over ringsdual codesfree codes

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Extremal self-dual codes over \(\mathbb{F}_2\times \mathbb{F}_2\)
• Self-dual codes over \(\mathbb{F}_2 \times (\mathbb{F}_2+v\mathbb{F}_2)\)
• On \(\mathbb{Z}_2\mathbb{Z}_4[\xi\)-skew cyclic codes]
• Linear codes over \(\mathbb{F}_2 \times (\mathbb{F}_2+v\mathbb{F}_2)\) and the MacWilliams identities
• \(\mathbb Z_2\mathbb Z_4\mathbb Z_8\)-cyclic codes
• Optimal Self-Dual Codes Over>tex<$ BBF _2times BBF _2$>/tex<With Respect to the Hamming Weight
• Duality for modules over finite rings and applications to coding theory
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Decoding of cyclic codes over F/sub 2/+uF/sub 2/
• Type IV self-dual codes over rings
• Cyclic codes and self-dual codes over F/sub 2/+uF/sub 2/

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