Notes on coding theory
This note covers the following topics: The naive way of coding, Coding schemes for binary channels and Shannon theorem, Shannon theorem, Exponential growth rate, Binary codes, The Hamming bound and perfect codes, The Gilbert-Varshamov bound, Error probability estimations, Union bound for BER, State representations and trellises of general codes, Convolutional codes, Tanner graphs and factor graphs.
Author(s): Fabio Fagnani
NA Pages 
Notes on Coding Theory by J.I.Hall
This comprehensive note considers some basic material in coding theory and discusses sphere packing and Shannon's theorem, which form the basics to understanding the idea of error correction and data transmission. It also deals with the concept of linear codes and their applications by describing Hamming codes and generalized Reed-Solomon codes. The material further takes a look at some codes within the frameworks of modifiation of codes and codes over subfields, providing insights into cyclic codes. Furthermore, it addresses the importance of countering weights and distances in error-correcting codes, thus making it a very vital text for students and professionals looking to deepen their knowledge on mathematical underpinnings and practical applications of coding theory.
Author(s): J.I.Hall
204 Pages
Coding Theory and Applications
This book is meant for undergraduate students who wish to obtain a basic knowledge in coding theory based on the subject of linear codes. It begins with introductory chapters based on Shannon theory and relevant to coding, then advances to detailed discussions about decoding linear codes and the MacWilliams identity. Besides these, the construction of new codes and the attainment of bounds on code performance are subjects of discussion, and thus Reed-Muller codes prove very significant in this light. This book is an exposition of the practical coding theory applied in many fields: telecommunications to data storage. It focuses on fast decoding techniques and higher-order RM codes.
Author(s): Enes Pasalic
154 Pages
