Format:
Online-Ressource (1 online resource (576 p.))
,
digital, PDF file(s).
Edition:
Online-Ausg.
ISBN:
9780511543401
Content:
The past few years have witnessed significant developments in algebraic coding theory. This book provides an advanced treatment of the subject from an engineering perspective, covering the basic principles and their application in communications and signal processing. Emphasis is on codes defined on the line, on the plane, and on curves, with the core ideas presented using commutative algebra and computational algebraic geometry made accessible using the Fourier transform. Starting with codes defined on a line, a background framework is established upon which the later chapters concerning codes on planes, and on curves, are developed. The decoding algorithms are developed using the standard engineering approach applied to those of Reed-Solomon codes, enabling them to be evaluated against practical applications. Integrating recent developments in the field into the classical treatment of algebraic coding, this is an invaluable resource for graduate students and researchers in telecommunications and applied mathematics
Content:
Sequences and the one-dimensional Fourier transform -- The Fourier transform and cyclic codes -- The many decoding algorithms for Reed-Solomon codes -- Within or beyond the packing radius -- Arrays and the two-dimensional Fourier transform -- The Fourier transform and bicyclic codes -- Arrays and the algebra of bivariate polynomials -- Computation of minimal bases -- Curves, surfaces, and vector spaces -- Codes on curves and surfaces -- Other representations of codes on curves -- The many decoding algorithms for codes on curves
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521771948
Additional Edition:
Erscheint auch als Druck-Ausgabe Blahut, Richard E., 1937 - Algebraic codes on lines, planes, and curves Cambridge [u.a.] : Cambridge University Press, 2008 ISBN 0521771943
Additional Edition:
ISBN 9780521771948
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9780521771948
Language:
English
Subjects:
Engineering
Keywords:
Codierungstheorie
DOI:
10.1017/CBO9780511543401
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