\(\mathbb Z_2\mathbb Z_4\mathbb Z_8\)-cyclic codes

DOI10.1007/s12190-018-01216-zzbMath1468.94440arXiv1704.07162OpenAlexW2892434604MaRDI QIDQ2318315

Ismail Aydogdu, Fatmanur Gursoy

Publication date: 14 August 2019

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.07162

zbMATH Keywords

cyclic codesadditive codesgenerator matrixparity-check matrix

Mathematics Subject Classification ID

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

Related Items (7)

On \(\mathbb{F}_2 RS\)-cyclic codes and their applications in constructing optimal codes ⋮ Linear codes over \(\mathbb{F}_q\times (\mathbb{F}_q+v\mathbb{F}_q)\) ⋮ The algebraic structure of additive codes over 𝔽2𝔽8 ⋮ Additive double polycyclic codes over \(\mathbb{F}_{p^2}\) and their applications to 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] ⋮ Unnamed Item

Cites Work

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• \(\mathbb Z_2\mathbb Z_4\)-linear codes: Generator matrices and duality
• Modular and \(p\)-adic cyclic codes
• ${\mathbb {Z}}_{2}{\mathbb {Z}}_{4}$ -Additive Cyclic Codes, Generator Polynomials, and Dual Codes
• $\BBZ_{2}\BBZ_{4}$ -Additive Cyclic Codes
• On ℤ_p^rℤ_p^s-additive codes
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Gray isometries for finite chain rings and a nonlinear ternary (36, 3/sup 12/, 15) code
• Type II codes, even unimodular lattices, and invariant rings

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