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 
Theory in Programming Practice
Jayadev Misra's Theory in Programming Practice is quite informative for the essentials of programming theory, especially with practical implications. The text includes compression techniques for data, reducing data size without loss of integrity, methods for detection and correction of errors in data transmission, and cryptography techniques for securing information from unauthorized access. Notes Also familiarize the reader with finite state machines-so very crucial in modeling and analyzing computations processes. Misra on recursion and induction Basic concepts that exist in the world of programming and designing algorithms. Relational databases-a topic that's very relevant to the management of structured data. Of course, the entire resource caters to both theoretical and practical knowledge, making this resource quite helpful in understanding core programming concepts and their implementations.
Author(s): Jayadev Misra
250 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
