Additive codes over Galois rings

DOI10.1016/J.FFA.2018.12.003zbMath1411.11136OpenAlexW2910479782WikidataQ128591891 ScholiaQ128591891MaRDI QIDQ1734679

Saadoun Mahmoudi, Karim Samei

Publication date: 27 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2018.12.003

zbMATH Keywords

additive codegenerator matrix\textit{MDR} code

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05)

Related Items (6)

Additive \(G\)-codes over \(\mathbb{F}_q\) and their dualities ⋮ Some new classes of additive MDS and almost MDS codes over finite fields ⋮ Mass formulae for Euclidean self-orthogonal and self-dual codes over finite commutative chain rings ⋮ \(\mathbb{F}_q\)-linear codes over \(\mathbb{F}_q\)-algebras ⋮ Self-orthogonal codes over \(\mathbb{Z}_4\) arising from the chain ring \(\mathbb{Z}_4 [u / \langle u^2 + 1 \rangle \)] ⋮ On \(\mathbb{Z}_2\mathbb{Z}_4\)-additive polycyclic codes and their Gray images

Cites Work

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• MDS and self-dual codes over rings
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• Singleton bounds for \(R\)-additive codes
• On the theory of \(\mathbb{F}_q\)-linear \(\mathbb{F}_{q^t}\)-codes
• Enumeration and construction of additive cyclic codes over Galois rings
• Duality for modules over finite rings and applications to coding theory
• Quantum error correction via codes over GF(4)
• OPTIMAL LINEAR CODES OVER ℤ_m

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