A construction of MDS 2D convolutional codes of rate \(1/n\) based on superregular matrices

DOI10.1016/j.laa.2012.02.032zbMath1278.94077OpenAlexW2017741167MaRDI QIDQ426070

Carmen Perea, Joan-Josep Climent, Raquel Pinto, D. Napp Avelli

Publication date: 11 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.02.032

zbMATH Keywords

superregular matrixCauchy matrixcode distanceMDS convolutional codesuperregular matricestwo-dimensional convolutional codesupper bound on the maximum possible distance

Mathematics Subject Classification ID

Convolutional codes (94B10)

Related Items

From 1D Convolutional Codes to 2D Convolutional Codes of Rate 1/n, Burst Erasure Correction of 2D Convolutional Codes, Constructions of MDS convolutional codes using superregular matrices, A decoding algorithm for 2D convolutional codes over the erasure channel, Weighted Reed–Solomon convolutional codes, MDS 2D convolutional codes with optimal 1D horizontal projections, Realization of 2D convolutional codes of rate \(\frac{1}{n}\) by separable Roesser models, Series concatenation of 2D convolutional codes by means of input-state-output representations, A minimum distance bound for quasi-\(n\)D-cyclic codes, Serial concatenation of a block code and a 2D convolutional code, Multidimensional quasi-twisted codes: equivalent characterizations and their relation to multidimensional convolutional codes, Decoding of 2D convolutional codes over an erasure channel

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