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ISBN: 0128133910 0128133880 9780128133910 9780128133880 Year: 2017 Publisher: London, United Kingdom
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A systematic review of the literature focusing on codes over rings and rings acting on codes. Key features: Consolidates 20+ years of research in one volume ; Reviews decomposition of quasi-cyclic codes under ring action ; Evaluates the ideal and module structure of skew-cyclic codes ; Supports applications in data compression, space time coding, code division multiple access, spread spectrum, and PAPR reduction.--
Coding theory. --- Rings (Algebra) --- Algebraic rings --- Ring theory --- Algebraic fields --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming
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ISBN: 9780128133910 0128133910 Year: 2017 Publisher: London, United Kingdom Academic Press, an imprint of Elsevier
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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.
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