Lee L.H.C. Error-Control Block Codes for Communications Engineers

Artech House, 2000. — 251 p.Modern digital communication systems often require error-free transmission. For example, the information transmitted and received over a banking network must not contain errors. The issue of dara integriry is becoming increasingly important, and there are many more situations where error protection is required.
In 1948, the fundamental concepts and mathematical theory of information transmission were laid by C. E. Shannon [I]. Shannon perceived that it is possible to transmit digital information over a noisy channel with an arbitrarily small error probability by proper channel encodingand decoding. The goal of approaching such error-free transmission can be achieved when the information transmission rate is less than the channel capacity. CC' in bits per second. Since Shannon's work, a great deal of efforr has been spent by many researchers to find good codes and efficient decoding methods for error-control. As a result, many different types of codes, namely blockcodes and convolutional codes. have been found and used in modern digital communication systems. This book is mainly concerned with the structures of binary and nonbinary, linear block codes, and the decoding techniques. The treatment here concentrates on the basic encoding and decoding principles of those block codes.Introduction of Coded Digital Communication Systems
Introduction to Abstract Algebra
Linear Block Codes
Cyclic Codes
Bose-Chaudhuri-Hocquenghem Codes
Reed-Solomon Codes
Multilevel Block-Coded Modulation
Applications of Block Codes