Some results on cyclic codes over the ring $R_{2,m}$

DOI10.3906/MAT-1211-20zbMath1350.94065OpenAlexW2129032519MaRDI QIDQ2873183

Maryam Molakarimi, R. Sobhani

Publication date: 23 January 2014

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1211-20

zbMATH Keywords

cyclic codescodes over ringsfinite commutative ringscodes over \(R_{k,m}\)

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cyclic codes (94B15) Finite commutative rings (13M99)

Related Items (7)

Self-dual constacyclic codes of length \(2^s\) over the ring \(\mathbb{F}_{2^m}[u,v/\langle u^2, v^2, uv-vu \rangle \)] ⋮ Repeated root cyclic codes over \(\mathbb{Z}_{p^2}+u\mathbb{Z}_{p^2}\) and their Lee distances ⋮ On constacyclic codes of length \(p^s\) over \(\mathbb{F}_{p^m} [ u , v \slash \langle u^2 , v^2 , u v - v u \rangle \)] ⋮ Cyclic codes over a non-commutative finite chain ring ⋮ Cyclic codes over R3,m ⋮ A note on cyclic codes over ℤ4 + uℤ4 ⋮ Cyclic codes over the ring \(\mathbb{Z}_p [u, v / \langle u^2, v^2, u v - v u \rangle\)]

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