Algebraic and Stochastic Coding Theory

Written for advanced readers, this book examines recent theoretical developments in coding theory. It covers technical topics and includes numerous examples to explain the underlying principles in coding theory. The text proves and illustrates the results with examples that detail that construction of the codes. The authors provide a clear, detailed description of each code and discuss its applications as well as advantages and disadvantages. In addition, they present historical developments and simplify mathematical theory, including exercises in most chapters of the text. Topics covered include belief propagation, distributions, finite fields, bounds, and Golay codes.