\(\mathbb{Z}_{2}\mathbb{Z}_{2}\mathbb{Z}_{4}\)-additive cyclic codes

DOI10.3934/amc.2018038zbMath1402.94095OpenAlexW2892453267MaRDI QIDQ1620963

Yun Gao, Tingting Wu, Jian Gao, Fang-Wei Fu

Publication date: 15 November 2018

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

Full work available at URL: https://doi.org/10.3934/amc.2018038

zbMATH Keywords

dual codegenerator polynomials\(\mathbb{Z}_{2}\mathbb{Z}_{2}\mathbb{Z}_{4}\)-cyclic codesminimum generating sets

Mathematics Subject Classification ID

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

Related Items (7)

On \(\mathbb{F}_2 RS\)-cyclic codes and their applications in constructing optimal codes ⋮ Non-binary quantum codes from cyclic codes over \(\mathbb{F}_p \times (\mathbb{F}_p +v\mathbb{F}_p)\) ⋮ On a class of skew constacyclic codes over mixed alphabets and applications in constructing optimal and quantum codes ⋮ Constacyclic codes over mixed alphabets and their applications in constructing new quantum codes ⋮ \(\mathbb{F}_2[u\mathbb{F}_2[u]\)-additive cyclic codes are asymptotically good] ⋮ Triple Cyclic Codes Over 𝔽q + u𝔽q ⋮ Quantum codes from cyclic codes over the mixed alphabet structure

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