A Chinese remainder theorem approach to skew generalized quasi-cyclic codes over finite fields

DOI10.1007/s12095-015-0140-yzbMath1344.94092arXiv1309.1621OpenAlexW837987621MaRDI QIDQ267796

Jian Gao, Fang-Wei Fu, Lin-Zhi Shen

Publication date: 11 April 2016

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.1621

zbMATH Keywords

1-generator skew GQC codesskew cyclic codesskew GQC codesskew QC codes

Mathematics Subject Classification ID

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

Related Items (8)

\(\mathbb{F}_qR\)-linear skew cyclic codes ⋮ New linear codes derived from skew generalized quasi-cyclic codes of any length ⋮ Unnamed Item ⋮ ON GENERALIZATIONS OF SKEW QUASI-CYCLIC CODES ⋮ Skew constacyclic codes over finite commutative semi-simple rings ⋮ Some skew constacyclic codes over \(\mathbb{F}_q+u\mathbb{F}_q\) ⋮ Some results on \(\mathbb{F}_4[v\)-double cyclic codes] ⋮ Skew multi-twisted codes over finite fields and their Galois duals

Cites Work

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• Generalized quasi-cyclic codes over Galois rings: structural properties and enumeration
• Structural properties and enumeration of 1-generator generalized quasi-cyclic codes
• Skew constacyclic codes over Galois rings
• Skew quasi-cyclic codes over Galois rings
• Coding with skew polynomial rings
• Generalized quasi-cyclic codes: Structural properties and code construction
• On quasi-cyclic codes over \({\mathbb{Z}_q}\)
• Skew codes of prescribed distance or rank
• Skew-cyclic codes
• On the algebraic structure of quasi-cyclic codes. II: Chain rings
• Structural properties and enumeration of quasi cyclic codes
• One generator quasi-cyclic codes over \(\mathbb F_2 + u\mathbb F_2\)
• Cyclic codes over the rings \(\mathbb Z_2 + u\mathbb Z_2\) and \(\mathbb Z_2 + u\mathbb Z_2 + u^2 \mathbb Z_2\)
• On the Algebraic Structure of Quasi-Cyclic Codes III: Generator Theory
• Quasicyclic Codes of Index ℓ over F q Viewed as F q[x-Submodules of F q ℓ[x]/〈x m−1〉]
• On the algebraic structure of quasi-cyclic codes .I. Finite fields
• Quasi-cyclic codes over Z/sub 4/ and some new binary codes
• On the Construction of Skew Quasi-Cyclic Codes
• Finite-Dimensional Division Algebras over Fields

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