Counting Polynomial Matrices over Finite Fields - Couverture souple

Lieb, Julia

 
9783958260641: Counting Polynomial Matrices over Finite Fields
Couverture souple
ISBN 10 : 3958260640 ISBN 13 : 9783958260641
Editeur : Wurzburg University Press, 2017

Synopsis

This book is dealing with three mathematical areas, namely polynomial matrices over finite fields, linear systems and coding theory. Primeness properties of polynomial matrices provide criteria for the reachability and observability of interconnected linear systems. Since time-discrete linear systems over finite fields and convolutional codes are basically the same objects, these results could be transferred to criteria for non-catastrophicity of convolutional codes. In particular, formulas for the number of pairwise coprime polynomials and for the number of mutually left coprime polynomial matrices are calculated. This leads to the probability that a parallel connected linear system is reachable and that a parallel connected convolutional code is non-catastrophic. Moreover, other networks of linear systems and convolutional codes are considered.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Wurzburg University Press
Date d'édition
2017
Langue
anglais
ISBN 10 
3958260640
ISBN 13 
9783958260641
Reliure
Broché
Nombre de pages
164
Coordonnées du fabricant
non disponible
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