Algorithmic Introduction to Coding Theory
This note introduces the theory of error-correcting codes to computer scientists. This theory, dating back to the works of Shannon and Hamming from the late 40's, overflows with theorems, techniques, and notions of interest to theoretical computer scientists. The course will focus on results of asymptotic or algorithmic significance. Principal topics include: Construction and existence results for error-correcting codes, Limitations on the combinatorial performance of error-correcting codes, Decoding algorithms, Applications in computer science.
Author(s): Madhu Sudan
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
