Additive polycyclic codes over \(\mathbb{F}_4\) induced by nonbinary polynomials

DOI10.1007/S12190-023-01940-1MaRDI QIDQ6578213

Peihan Liu, Nuh Aydin, Arezoo Soufi Karbaski, T. Abualrub

Publication date: 25 July 2024

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

zbMATH Keywords

linear codesadditive codesadditive polycyclic codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Other types of codes (94B60)

Cites Work

• On the duality and the direction of polycyclic codes
• Polycyclic codes as invariant subspaces
• Optimal binary codes derived from \(\mathbb{F}_2 \mathbb{F}_4\)-additive cyclic codes
• On \(\mathbb{Z}_2\mathbb{Z}_4\)-additive polycyclic codes and their Gray images
• Polycyclic codes associated with trinomials: good codes and open questions
• Additive cyclic complementary dual codes over \(\mathbb{F}_4\)
• Construction of isodual codes from polycirculant matrices
• Dual generalizations of the concept of cyclicity of codes
• Polynomial realization of sequential codes over finite fields
• Quantum error correction via codes over GF(4)
• Additive cyclic codes over \(\mathbb F_4\)

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