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题名/责任者:

Elements of algebraic coding systems / Valdemar Cardoso da Rocha, Jr.

出版发行项:

New York : Momentum Press, 2014.

ISBN:

1606505742

ISBN:

9781606505748

载体形态项:

xi, 188 pages ; 23 cm

丛编说明:

Communications and signal processing collection

个人责任者:

Rocha, Valdemar C. da, 1947- author.

论题主题:

Coding theory.

论题主题:

Coding theory.

中图法分类号:

O157.4

书目附注:

Includes bibliographical references (pages 179-182) and index.

摘要附注:

This book serves as an introductory text to algebraic coding theory. The contents are suitable for final year undergraduate and first year graduate courses in electrical and computer engineering, and will give the reader knowledge of coding fundamentals that is essential for a deeper understanding of state-of-the-art coding systems. This book will also serve as a quick reference for those who need it for specific applications, like in cryptography and communications. Eleven chapters cover linear error-correcting block codes from elementary principles, going through cyclic codes and then covering some finite field algebra, Goppa codes, algebraic decoding algorithms, and applications in public-key cryptography and secret-key cryptography. At the end of each chapter a section containing problems and solutions is included. Three appendices cover the Gilbert bound and some related derivations, a derivation of the MacWilliams' 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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