Algebraic decoder of multidimensional convolutional code: Constructive algorithms for determining syndrome decoder and decoder matrix based on Gröbner basis

DOI10.1007/s11045-010-0139-7zbMath1207.94079OpenAlexW1996516910MaRDI QIDQ632179

C. Charoenlarpnopparut, P. Jangisarakul

Publication date: 15 March 2011

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11045-010-0139-7

zbMATH Keywords

Gröbner basisalgebraic decoderconvolutional encodermaximum likelihood decodersyndrome matrix

Mathematics Subject Classification ID

Decoding (94B35) Convolutional codes (94B10)

Related Items (7)

Burst Erasure Correction of 2D Convolutional Codes ⋮ A construction of MDS 2D convolutional codes of rate \(1/n\) based on superregular matrices ⋮ The predictable degree property and minimality in multidimensional convolutional coding ⋮ Serial concatenation of a block code and a 2D convolutional code ⋮ Realization of 2D \((2,2)\)-periodic encoders by means of 2D periodic separable Roesser models ⋮ Non-catastrophicity in multidimensional convolutional coding ⋮ Decoding of 2D convolutional codes over an erasure channel

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