Self-dual codes over \(\mathbb{F}_2 \times (\mathbb{F}_2+v\mathbb{F}_2)\)

DOI10.1007/S12095-020-00461-ZzbMath1469.94123OpenAlexW3092013310MaRDI QIDQ2040340

Refia Aksoy, Fatma Çalişkan

Publication date: 13 July 2021

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12095-020-00461-z

zbMATH Keywords

self-dual codesminimum distancegenerator matrixcodes over direct product rings

Mathematics Subject Classification ID

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

Related Items (4)

\(\mathbb{F}_qR\)-linear skew cyclic codes ⋮ Linear codes over \(\mathbb{F}_q\times (\mathbb{F}_q+v\mathbb{F}_q)\) ⋮ Non-binary quantum codes from cyclic codes over \(\mathbb{F}_p \times (\mathbb{F}_p +v\mathbb{F}_p)\) ⋮ Entanglement-assisted binary quantum codes from skew cyclic codes over \(\mathbb{F}_2\times(\mathbb{F}_2+v\mathbb{F}_2)\)

Uses Software

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Cites Work

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• New extremal binary self-dual codes from \(\mathbb{F}_4 + u \mathbb{F}_4\)-lifts of quadratic circulant codes over \(\mathbb{F}_4\)
• Self-dual codes over \(\mathbb F_2 + u\mathbb F_2 + v\mathbb F_2 + uv\mathbb F_2\)
• The Magma algebra system. I: The user language
• Binary extremal self-dual codes of length 60 and related codes
• Linear codes over \(\mathbb{F}_2 \times (\mathbb{F}_2+v\mathbb{F}_2)\) and the MacWilliams identities
• A new shortening method and Hermitian self-dual codes over \(\mathbb{F}_2 + v \mathbb{F}_2\)
• Self-dual \(R_k\) lifts of binary self-dual codes
• On the structure of \(\mathbb{Z}_2 \mathbb{Z}_2 [u^3\)-linear and cyclic codes]
• Constructing formally self-dual codes over \(R_k\)
• Cubic self-dual binary codes
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Linear and cyclic codes over direct product of finite chain rings
• Some Constacyclic Codes over ℤ4[u/〈u2〉,, New Gray Maps, and New Quaternary Codes]
• AN EFFICIENT CONSTRUCTION OF SELF-DUAL CODES
• On the classification and enumeration of self-dual codes

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