Counting Polynomial Matrices over Finite Fields - Couverture souple

Lieb, Julia

9783958260641: Counting Polynomial Matrices over Finite Fields

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ISBN 10 : 3958260640 ISBN 13 : 9783958260641

Editeur : Wurzburg University Press, 2017

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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 r�f�rence � une autre �dition de ce titre.

�diteur: Wurzburg University Press
Date d'�dition: 2017
Langue: anglais
ISBN 10: 3958260640
ISBN 13: 9783958260641
Reliure: Broch�
Nombre de pages: 164
Coordonn�es du fabricant: non disponible
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Counting Polynomial Matrices over Finite Fields

Lieb, Julia

Edit� par W�rzburg University Press, 2017

ISBN 10 : 3958260640 ISBN 13 : 9783958260641

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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. &Uumlber den AutorrnrnGeboren 1988 in Kronach, M.Sc. (Mathematik), Studium der Faecher Mathematik, Katholische Theologie und Erziehungswissenschaften (Staatsexamen)KlappentextrnrnThis book is dealing with three mathematical a. N� de r�f. du vendeur 449799731

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

Julia Lieb

Edit� par W�rzburg University Press, 2017

ISBN 10 : 3958260640 ISBN 13 : 9783958260641

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Taschenbuch. Etat : Neu. 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 r�f. du vendeur 9783958260641

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Counting Polynomial Matrices over Finite Fields

Julia Lieb

Edit� par W�rzburg University Press Sep 2017, 2017

ISBN 10 : 3958260640 ISBN 13 : 9783958260641

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 164 pp. Englisch. N� de r�f. du vendeur 9783958260641

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Counting Polynomial Matrices over Finite Fields

Lieb, Julia

Edit� par Wurzburg University Press, 2017

ISBN 10 : 3958260640 ISBN 13 : 9783958260641

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

Lieb, Julia

Edit� par Wurzburg University Press, 2017

ISBN 10 : 3958260640 ISBN 13 : 9783958260641

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PAP. Etat : New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. N� de r�f. du vendeur L0-9783958260641

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Counting Polynomial Matrices over Finite Fields

Julia Lieb

Edit� par W�rzburg University Press, W�rzburg University Press Sep 2017, 2017

ISBN 10 : 3958260640 ISBN 13 : 9783958260641

Neuf Taschenbuch

Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Taschenbuch. Etat : Neu. Neuware -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.Books on Demand GmbH, �berseering 33, 22297 Hamburg 164 pp. Englisch. N� de r�f. du vendeur 9783958260641

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