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Elements of Algebraic Coding Systems

Elements of Algebraic Coding Systems

Paperback

Technology & Engineering

Publisher Price: $79.95

ISBN10: 1606505742
ISBN13: 9781606505748
Publisher: Lightning Source Inc
Published: Jul 31 2014
Pages: 206
Weight: 0.62
Height: 0.44 Width: 6.00 Depth: 9.00
Language: English
Elements of Algebraic Coding Systems is an introductory text to algebraic coding theory. In the first chapter, you'll gain inside knowledge of coding fundamentals, which is essential for a deeper understanding of state-of-the-art coding systems. This book is a quick reference for those who are unfamiliar with this topic, as well as for use with specific applications such as cryptography and communication. Linear error-correcting block codes through elementary principles span eleven chapters of the text. Cyclic codes, some finite field algebra, Goppa codes, algebraic decoding algorithms, and applications in public-key cryptography and secret-key cryptography are discussed, including problems and solutions at the end of each chapter. Three appendices cover the Gilbert bound and some related derivations, a derivation of the Mac- Williams' identities based on the probability of undetected error, and two important tools for algebraic decoding-namely, the finite field Fourier transform and the Euclidean algorithm for polynomials.

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