A new class of superregular matrices and MDP convolutional codes
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A new class of superregular matrices and MDP convolutional codesData de publicació
2013Editor
ElsevierISSN
0024-3795Cita bibliogràfica
ALMEIDA, P.; NAPP, D.; PINTO, R. A new class of superregular matrices and MDP convolutional codes. Linear Algebra and its Applications, 2013, vol. 439, no 7, p. 2145-2157Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.sciencedirect.com/science/article/pii/S0024379513004126#Versió
info:eu-repo/semantics/sumittedVersionParaules clau / Matèries
Resum
This paper deals with the problem of constructing superregular matrices that lead to MDP convolutional codes. These matrices are a type of lower block triangular Toeplitz matrices with the property that all the square ... [+]
This paper deals with the problem of constructing superregular matrices that lead to MDP convolutional codes. These matrices are a type of lower block triangular Toeplitz matrices with the property that all the square submatrices that can possibly be nonsingular due to the lower block triangular structure are nonsingular. We present a new class of matrices that are superregular over a sufficiently large finite field FF. Such construction works for any given choice of characteristic of the field FF and code parameters (n,k,δ)(n,k,δ) such that (n−k)|δ(n−k)|δ. We also discuss the size of FF needed so that the proposed matrices are superregular. [-]
Publicat a
Linear Algebra and its Applications (2013) vol. 439, no 7Drets d'accés
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