Some Constacyclic Codes over ℤ4[u]/〈u2〉,, New Gray Maps, and New Quaternary Codes

DOI10.1142/S1005386718000263zbMath1408.94986OpenAlexW2886506467MaRDI QIDQ4686426

Abdullah Dertli, Nuh Aydin, Yasemin Cengellenmis

Publication date: 10 October 2018

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386718000263

zbMATH Keywords

codes over ringsconstacyclic codesquaternary codesGray maps

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15)

Related Items (3)

Cyclic and constacyclic codes over the ring Z4[u/⟨u3 − u2⟩ and their Gray images] ⋮ Self-dual codes over \(\mathbb{F}_2 \times (\mathbb{F}_2+v\mathbb{F}_2)\) ⋮ Polynomial functions on rings of dual numbers over residue class rings of the integers

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