Codes and Rings (ePub)

Name: Codes and Rings
Brand: Elsevier Science & Techn.
SKU: 88284567
Price: 141.90 EUR
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Theory and Practice (Sprache: Englisch)

Autoren: Minjia Shi , Adel Alahmadi , Patrick Solé

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Codes and Rings, Minjia Shi, Adel Alahmadi, Patrick Solé

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Codes and Rings: Theory and Practice is a systematic review of literature that focuses on codes over rings and rings acting on codes. Since the breakthrough works on quaternary codes in the 1990s, two decades of research have moved the field far beyond its...

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Codes and Rings: Theory and Practice is a systematic review of literature that focuses on codes over rings and rings acting on codes. Since the breakthrough works on quaternary codes in the 1990s, two decades of research have moved the field far beyond its original periphery. This book fills this gap by consolidating results scattered in the literature, addressing classical as well as applied aspects of rings and coding theory.

New research covered by the book encompasses skew cyclic codes, decomposition theory of quasi-cyclic codes and related codes and duality over Frobenius rings. Primarily suitable for ring theorists at PhD level engaged in application research and coding theorists interested in algebraic foundations, the work is also valuable to computational scientists and working cryptologists in the area.

Consolidates 20+ years of research in one volume, helping researchers save time in the evaluation of disparate literature
Discusses duality formulas in the context of Frobenius rings
Reviews decomposition of quasi-cyclic codes under ring action
Evaluates the ideal and modular structure of skew-cyclic codes
Supports applications in data compression, distributed storage, network coding, cryptography and across error-correction

Autoren-Porträt von Minjia Shi, Adel Alahmadi, Patrick Solé

Minjia Shi is an Associate Professor of Mathematics in the School of Mathematical Sciences of Anhui University since 2012, P. R. China. He is the author of more than 60 journal papers and one book. He is interested in algebraic coding, cryptography and related fields.

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Autoren: Minjia Shi , Adel Alahmadi , Patrick Solé
2017, 318 Seiten, Englisch
Verlag: Elsevier Science & Techn.
ISBN-10: 0128133910
ISBN-13: 9780128133910
Erscheinungsdatum: 12.06.2017

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Dateiformat: ePub
Größe: 7.58 MB
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Englisch

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"The authors point out how the subject is related to other fields e.g. combinatorics, number theory and ring theory. The book is very useful for references and can be also be used for the serious study of the subject. Ring theorists principally at PhD and research level, coding theorist interested in applications (computer scientists and cryptologists) could appreciate the collection and arrangement of research content of more than 250 references." --Zentralblatt MATH

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