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Constructions of MDS convolutional codes using superregular matrices
2020
Journal:  
Journal of Algebra Combinatorics Discrete Structures and Applications
Author:  
DOI:  
10.13069/jacodesmath.645029
Abstract:

Maximum distance separable convolutional codes are the codes that present best performance in error correction among all convolutional codes with certain rate and degree. In this paper, we show that taking the constant matrix coefficients of a polynomial matrix as submatrices of a superregular matrix, we obtain a column reduced generator matrix of an MDS convolutional code with a certain rate and a certain degree. We then present two novel constructions that fulfill these conditions by considering two types of superregular matrices.

Keywords:

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2020
Journal:  
Journal of Algebra Combinatorics Discrete Structures and Applications
Author:  
DOI:  
10.13069/jacodesmath.645029
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Journal of Algebra Combinatorics Discrete Structures and Applications

Field :   Fen Bilimleri ve Matematik; Mühendislik

Journal Type :   Uluslararası

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Article : 169
Cite : 4
Details
Journal of Algebra Combinatorics Discrete Structures and Applications