Equivalence and duality of polycyclic codes associated with trinomials over finite fields

DOI10.1016/j.ffa.2023.102259arXiv2204.12433OpenAlexW4385504827MaRDI QIDQ6136706

Haodong Lu, Jiarui Xu, Shuang Zhou, Yuhang Zhu, Minjia Shi

Publication date: 31 August 2023

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.12433

zbMATH Keywords

equivalencedualitytrinomialspolycyclic codes

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Association schemes, strongly regular graphs (05E30) Cyclic codes (94B15)

Cites Work

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• Polycyclic codes as invariant subspaces
• On the structure of 1-generator quasi-polycyclic codes over finite chain rings
• Polycyclic codes associated with trinomials: good codes and open questions
• On polycyclic codes over a finite chain ring
• Construction of isodual codes from polycirculant matrices
• Dual generalizations of the concept of cyclicity of codes

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