On the polycyclic codes over \(\mathbb{F}_q +u\mathbb{F}_q\)

DOI10.3934/amc.2022015MaRDI QIDQ6556573

Wei Qi

Publication date: 17 June 2024

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

zbMATH Keywords

Hamming distancesGray mapssemi-simple ringspolycyclic codesannihilator dual codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Cyclic codes (94B15)

Cites Work

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• On the duality and the direction of polycyclic codes
• Almost MDS codes
• Rational power series, sequential codes and periodicity of sequences
• Long quasi-polycyclic \(t\)-CIS codes
• Polycyclic codes over Galois rings with applications to repeated-root constacyclic codes
• Polycyclic codes as invariant subspaces
• On self-dual and LCD double circulant and double negacirculant codes over \(\mathbb{F}_q+u\mathbb{F}_q \)
• On polycyclic codes over a finite chain ring
• Dual generalizations of the concept of cyclicity of codes
• The Galois variance of constacyclic codes
• Fundamentals of Error-Correcting Codes
• Algebraic Coding Theory Over Finite Commutative Rings
• A Bound for Error-Correcting Codes

Related Items (1)

Quasi-polycyclic and skew quasi-polycyclic codes over \(\mathbb{F}_q\)

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