On asymmetric representations of \(\text{GF}(q^ m)\) and self-dual codes

DOI10.1007/BF01225645zbMath0818.11048OpenAlexW2045754896MaRDI QIDQ1343109

Christophe Mouaha

Publication date: 31 January 1995

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01225645

zbMATH Keywords

finite fieldself-dual codesmatrix representations\(q\)-ary images of non self-dual codes

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Basic linear algebra (15A99)

Cites Work

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• Reconstructing the ternary Golay code
• A group algebra construction of binary even self dual codes
• A new construction of the binary Golay code (24, 12, 8) using a group algebra over a finite field
• On cyclic codes which are \(q\)-ary images of linear codes
• On \(Q\)-ary images of self-dual codes
• A note on extended quadratic residue codes over<tex>GF(9)</tex>and their ternary images (Corresp.)
• A note on extended quaternary quadratic residue codes and their binary images
• On Symmetric Representations of Finite Fields

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