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

Lieb, Julia

 
9783958260641: Counting Polynomial Matrices over Finite Fields: Matrices with Certain Primeness Properties and Applications to Linear Systems and Coding Theory
Softcover
ISBN 10: 3958260640 ISBN 13: 9783958260641
Verlag: Würzburg University Press, 2017

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Geboren 1988 in Kronach, M.Sc. (Mathematik), Studium der Fächer Mathematik, Katholische Theologie und Erziehungswissenschaften (Staatsexamen)

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Verlag
Würzburg University Press
Erscheinungsdatum
2017
Sprache
Englisch
ISBN 10 
3958260640
ISBN 13 
9783958260641
Einband
Taschenbuch
Auflage
1
Anzahl der Seiten
164
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

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