Cunsheng Ding Bücher

Focusing on the mathematical foundations of coding theory, this monograph presents a comprehensive exploration of codebooks and linear codes derived from difference sets and almost difference sets. It offers a detailed survey of their constructions, ensuring readers have the necessary background knowledge. Additionally, the work includes valuable tables of optimal BCH and cyclic codes over GF(2) and GF(3), serving as a benchmark for evaluating newly developed cyclic codes up to specified lengths.

Focusing on the intricate relationship between linear codes and various designs, this monograph presents a comprehensive exploration of classical and contemporary findings. It delves into the designs derived from linear codes, as well as their connections to geometric structures like ovals, hyperovals, and maximal arcs. By integrating established results with recent research, the book offers a thorough examination of the subject, making it a valuable resource for those interested in the intersection of coding theory and design theory.

This book contains survey papers and research papers by leading experts on sequences and their applications. It discusses both the theory of sequences and their applications in cryptography, coding theory, communications systems, numerical computation and computer simulation. Sequences have important applications in ranging systems, spread spectrum communication systems, multi-terminal system identification, code division multiply access communications systems, global positioning systems, software testing, circuit testing, computer simulation, and stream ciphers. The papers contained in this volume bring together experts from discrete mathematics, computer science and communications engineering, and help to bridge advances in these different areas.