Counting Polynomial Matrices over Finite Fields : Matrices with Certain Primeness Properties and Applications to Linear Systems and Coding Theory

Julia Lieb

ISBN 10: 3958260640 / ISBN 13: 9783958260641

Edité par Würzburg University Press, 2017

A propos de cet article

nach der Bestellung gedruckt Neuware - Printed after ordering - 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. N° de réf. du vendeur 9783958260641

Détails bibliographiques

Titre : Counting Polynomial Matrices over Finite ...

Éditeur : Würzburg University Press

Date d'édition : 2017

Reliure : Taschenbuch

Etat : Neu