Description

Book Synopsis
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.

Table of Contents
Mathematical Foundations; Linear Codes over Finite Fields; Designs and Their Codes; Difference Sets; Almost Difference Sets; Linear Codes of Difference Sets; Linear Codes of Almost Difference Sets; Codebooks from (Almost) Difference Sets;

Codes From Difference Sets

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    A Hardback by Cunsheng Ding

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      Book details

      Publisher World Scientific Publishing Co Pte Ltd
      Published 30 September 2014
      ISBN-13 9789814619356
      978-9814619356
      ISBN-10 9814619353

      Description

      Book Synopsis
      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.

      Table of Contents
      Mathematical Foundations; Linear Codes over Finite Fields; Designs and Their Codes; Difference Sets; Almost Difference Sets; Linear Codes of Difference Sets; Linear Codes of Almost Difference Sets; Codebooks from (Almost) Difference Sets;

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