Main Elements of Algebraic Coding Systems

Elements of Algebraic Coding Systems

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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
Request Code : ZLIB.IO17448275
Categories:
Year:
2022
Publisher:
Momentum Press
Language:
English
ISBN 10:
1606505750
ISBN 13:
9781606505755
ISBN:
1606505742, 9781606505748, 9781606505755, 1606505750
Series:
Communications and signal processing collection

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