Fundamentals of Classical and Modern Error-Correcting Codes (Hardcover)

Using easy-to-follow mathematics, this textbook provides comprehensive coverage of block codes and techniques for reliable communications and data storage. It covers major code designs and constructions from geometric, algebraic, and graph-theoretic points of view, decoding algorithms, error control additive white Gaussian noise (AWGN) and erasure, and dataless recovery. It simplifies a highly mathematical subject to a level that can be understood and applied with a minimum background in mathematics, provides step-by-step explanation of all covered topics, both fundamental and advanced, and includes plenty of practical illustrative examples to assist understanding. Numerous homework problems are included to strengthen student comprehension of new and abstract concepts, and a solutions manual is available online for instructors. Modern developments, including polar codes, are also covered. An essential textbook for senior undergraduates and graduates taking introductory coding courses, students taking advanced full-year graduate coding courses, and professionals working on coding for communications and data storage.

使用易於理解的數學，這本教科書全面介紹了可靠通信和數據存儲的區塊碼和技術。它從幾何、代數和圖論的角度涵蓋了主要的編碼設計和構造，解碼算法，誤差控制加性白高斯噪聲（AWGN）和擦除，以及無數據恢復。它將一個高度數學化的主題簡化到可以用最少的數學背景理解和應用的水平，提供了所有涵蓋的基礎和高級主題的逐步解釋，並包含大量實際的例子來幫助理解。包含了許多家庭作業問題，以加強學生對新的和抽象概念的理解，並提供了在線解答手冊供教師使用。還介紹了極化碼等現代發展。這是一本必讀的教科書，適用於高年級本科生和研究生修讀入門編碼課程的學生，修讀高級全年編碼課程的學生，以及從事通信和數據存儲編碼的專業人士。