Algebraic Codes on Lines, Planes, and Curves: An Engineering Approach
Cambridge University Press | ISBN: 0521771943 | 2008-04-30 | PDF | 576 pages | 2.6 MB
Algebraic geometry is often employed to encode and decode signals transmitted in communication systems. This book describes the fundamental principles of algebraic coding theory from the perspective of an engineer, discussing a number of applications in communications and signal processing. The principal concept is that of using algebraic curves over finite fields to construct error-correcting codes. The most recent developments are presented including the theory of codes on curves, without the use of detailed mathematics, substituting the intense theory of algebraic geometry with Fourier transform where possible.
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