ℤ2(ℤ2 + uℤ2)-Additive cyclic codes and their duals

DOI10.1142/S1793830916500270zbMath1348.94088OpenAlexW2285362898MaRDI QIDQ3178157

Maheshanand Bhaintwal, B. Srinivasulu

Publication date: 8 July 2016

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793830916500270

zbMATH Keywords

dualityadditive codesminimal spanning set

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Cyclic codes (94B15)

Related Items (9)

\(\mathbb{Z}_4\mathbb{Z}_4 [u\)-additive cyclic and constacyclic codes] ⋮ A characterization of \(\mathbb {Z}_{2}\mathbb {Z}_{2}[u\)-linear codes] ⋮ On normalized generating sets for GQC codes over \(\mathbb{Z}_2\) ⋮ Unnamed Item ⋮ \(\mathbb{F}_qR\)-linear skew constacyclic codes and their application of constructing quantum codes ⋮ On \(\mathbb{Z}_4\mathbb{Z}_4[u^3 \)-additive constacyclic codes] ⋮ On a class of skew constacyclic codes over mixed alphabets and applications in constructing optimal and quantum codes ⋮ Some results on \( \mathbb{Z}_p\mathbb{Z}_p[v \)-additive cyclic codes] ⋮ Quantum codes from cyclic codes over the mixed alphabet structure

Cites Work

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• On quasi-cyclic codes over \({\mathbb{Z}_q}\)
• \(\mathbb Z_2\mathbb Z_4\)-linear codes: Generator matrices and duality
• One generator quasi-cyclic codes over \(\mathbb F_2 + u\mathbb F_2\)
• On ℤ₂ℤ₂[u-additive codes]
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Maximum distance codes over rings of order 4
• Association schemes and coding theory
• Cyclic codes and self-dual codes over F/sub 2/+uF/sub 2/

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