\(\mathbb{F}_{p^m}\mathbb{F}_{p^m}[u^2]\)-additive skew cyclic codes of length \(2p^s\)

DOI10.3934/amc.2022023MaRDI QIDQ6556578

Roghayeh Mohammadi Hesari, Mahboubeh Hosseinabadi, Karim Samei, Rashid Rezaei

Publication date: 17 June 2024

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

zbMATH Keywords

Gray mapskew cyclic codechain ringadditive skew cyclic code

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Cyclic codes (94B15)

Cites Work

• Unnamed Item
• Unnamed Item
• Skew constacyclic codes over finite chain rings
• \(F_3R\)-skew cyclic codes
• Skew constacyclic codes over Galois rings
• Skew-cyclic codes
• Near-MDS codes over some small fields
• On self-dual skew cyclic codes of length \(p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m} \)
• Complete classification of \((\delta + \alpha u^2)\)-constacyclic codes of length \(p^k\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m} + u^2 \mathbb{F}_{p^m}\)
• On the structure of \(\mathbb{Z}_2 \mathbb{Z}_2 [u^3\)-linear and cyclic codes]
• Self-dual skew codes and factorization of skew polynomials
• SOME CLASSES OF REPEATED-ROOT CONSTACYCLIC CODES OVER 𝔽_pm+u𝔽_pm+u²𝔽_pm
• A Note on the Dual Codes of Module Skew Codes
• On ℤ₂ℤ₂[u-additive codes]
• THE DETERMINATION OF THE GROUP OF AUTOMORHISMS OF A FINITE CHAIN RING OF CHARACTERSTIC p
• Skew cyclic codes over 𝔽4R
• $\mathbb {Z}_{2}\mathbb {Z}_{2}[u$ –Cyclic and Constacyclic Codes]

This page was built for publication: \(\mathbb{F}_{p^m}\mathbb{F}_{p^m}[u^2]\)-additive skew cyclic codes of length \(2p^s\)