Elements of Algebraic Coding Systems

丛 书 名：Communications and Signal Processing Collection

作     者：Rocha, Valdemar C. da 

I S B N：(纸本) 9781606505748;9781606505755 

出 版 社：Momentum Press 

出 版 年：2014年

页      数：208页

主 题 词：Coding theory 

学科分类：0810[工学-信息与通信工程] 08[工学] 081001[工学-通信与信息系统] 

摘      要：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.