This is the first monograph on codebooks and linear codes from difference sets and almost difference sets. It aims at providing a survey of constructions of difference sets and almost difference sets as well as an in-depth treatment of codebooks and linear codes from difference sets and almost difference sets. To be self-contained, this monograph covers necessary mathematical foundations and the basics of coding theory. It also contains tables of best BCH codes and best cyclic codes over GF(2) and GF(3) up to length 125 and 79, respectively. This repository of tables can be used to benchmark newly constructed cyclic codes. This monograph is intended to be a reference for postgraduates and researchers who work on combinatorics, or coding theory, or digital communications.
- ISBN13 9789814619356
- Publish Date 30 September 2014 (first published 1 January 2014)
- Publish Status Active
- Publish Country SG
- Publisher World Scientific Publishing Co Pte Ltd
- Imprint WSPC co-published with Now Publisher
- Format Hardcover
- Pages 356
- Language English
- URL https://worldscientific.com/worldscibooks/10.1142/9283