Additive polycyclic codes over \(\mathbb{F}_4\) induced by binary vectors and some optimal codes

DOI10.3934/amc.2022004zbMath1529.94058arXiv2108.09198OpenAlexW3196288482MaRDI QIDQ6067848

Arezoo Soufi Karbaski, Nuh Aydin, Peihan Liu, Taher Abualrub

Publication date: 14 December 2023

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

Full work available at URL: https://arxiv.org/abs/2108.09198

zbMATH Keywords

optimal codesadditive codespolycyclic codescodes over \(\mathbb{F}_4 \)

Mathematics Subject Classification ID

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

Related Items (1)

Additive double polycyclic codes over \(\mathbb{F}_{p^2}\) and their applications to quantum codes

Cites Work

• Unnamed Item
• On the duality and the direction of polycyclic codes
• Optimal binary codes derived from \(\mathbb{F}_2 \mathbb{F}_4\)-additive cyclic codes
• Dual generalizations of the concept of cyclicity of codes
• Quantum error correction via codes over GF(4)
• Additive cyclic codes over \(\mathbb F_4\)

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