On the duality and the direction of polycyclic codes

DOI10.3934/amc.2016049zbMath1353.94085OpenAlexW2548869068MaRDI QIDQ340190

Steven T. Dougherty, André Leroy, Patrick Solé, Adel N. Alahmadi

Publication date: 11 November 2016

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

Full work available at URL: https://doi.org/10.3934/amc.2016049

zbMATH Keywords

cyclic codesformally self-dual codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Bounds on codes (94B65) Cyclic codes (94B15)

Related Items (13)

A transform approach to polycyclic and serial codes over rings ⋮ Polycyclic codes associated with trinomials: good codes and open questions ⋮ ON GENERALIZATIONS OF SKEW QUASI-CYCLIC CODES ⋮ On the structure of repeated-root polycyclic codes over local rings ⋮ Additive polycyclic codes over \(\mathbb{F}_4\) induced by binary vectors and some optimal codes ⋮ On polycyclic codes over a finite chain ring ⋮ Unnamed Item ⋮ Construction of isodual codes from polycirculant matrices ⋮ Polycyclic codes as invariant subspaces ⋮ Long quasi-polycyclic \(t\)-CIS codes ⋮ On the structure of 1-generator quasi-polycyclic codes over finite chain rings ⋮ On \(\mathbb{Z}_2\mathbb{Z}_4\)-additive polycyclic codes and their Gray images ⋮ \((f, \sigma, \delta)\)-skew polycyclic codes and their applications to quantum codes

Cites Work

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• A note on formally self-dual even codes of length divisible by 8
• Dual generalizations of the concept of cyclicity of codes
• Fundamentals of Error-Correcting Codes
• Optimum shortened cyclic codes for burst-error correction
• Duality for modules over finite rings and applications to coding theory
• On the classification of extremal even formally self-dual codes of lengths 20 and 22
• Binary optimal odd formally self-dual codes.

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