Double circulant matrices

DOI10.1080/03081087.2017.1387513zbMath1395.15024arXiv1601.06872OpenAlexW2963324478MaRDI QIDQ5375926

Yun Fan, Hualu Liu

Publication date: 17 September 2018

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.06872

zbMATH Keywords

rankcirculant matrixquasi-cyclic codelinearly independencedouble circulant matrix

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Cyclic codes (94B15) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (2)

Asymptotically good quasi-cyclic codes of fractional index ⋮ On a class of matrices generated by certain generalized permutation matrices and applications

Cites Work

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• Generalized quasi-cyclic codes: Structural properties and code construction
• Quasi-Cyclic Codes of Index $1\frac {1}{3}$
• Thresholds of Random Quasi-Abelian Codes
• The trace description of irreducible quasi-cyclic codes
• The Rank of Circulant Matrices
• Is the class of cyclic codes asymptotically good?
• Circulants and Difference Sets
• MULTIPLE-CYCLIC CODES
• Fundamentals of Error-Correcting Codes
• Good self-dual quasi-cyclic codes exist
• Some results on quasi-cyclic codes

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