Codes from Difference Sets
Title | Codes from Difference Sets PDF eBook |
Author | Cunsheng Ding |
Publisher | World Scientific Publishing Company Incorporated |
Pages | 341 |
Release | 2014-08-08 |
Genre | Mathematics |
ISBN | 9789814619356 |
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.
Codes From Difference Sets
Title | Codes From Difference Sets PDF eBook |
Author | Cunsheng Ding |
Publisher | World Scientific |
Pages | 354 |
Release | 2014-08-08 |
Genre | Mathematics |
ISBN | 981461937X |
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.
Difference Sets, Sequences and their Correlation Properties
Title | Difference Sets, Sequences and their Correlation Properties PDF eBook |
Author | A. Pott |
Publisher | Springer Science & Business Media |
Pages | 451 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 9401144591 |
The explanation of the formal duality of Kerdock and Preparata codes is one of the outstanding results in the field of applied algebra in the last few years. This result is related to the discovery of large sets of quad riphase sequences over Z4 whose correlation properties are better than those of the best binary sequences. Moreover, the correlation properties of sequences are closely related to difference properties of certain sets in (cyclic) groups. It is the purpose of this book to illustrate the connection between these three topics. Most articles grew out of lectures given at the NATO Ad vanced Study Institute on "Difference sets, sequences and their correlation properties". This workshop took place in Bad Windsheim (Germany) in August 1998. The editors thank the NATO Scientific Affairs Division for the generous support of this workshop. Without this support, the present collection of articles would not have been realized.
Codes and Polynomials in the Study of Cyclic Difference Sets
Title | Codes and Polynomials in the Study of Cyclic Difference Sets PDF eBook |
Author | Thomas E. Norwood |
Publisher | |
Pages | 94 |
Release | 1996 |
Genre | |
ISBN |
Combinatorics and Finite Fields
Title | Combinatorics and Finite Fields PDF eBook |
Author | Kai-Uwe Schmidt |
Publisher | Walter de Gruyter GmbH & Co KG |
Pages | 459 |
Release | 2019-07-08 |
Genre | Mathematics |
ISBN | 3110641968 |
Combinatorics and finite fields are of great importance in modern applications such as in the analysis of algorithms, in information and communication theory, and in signal processing and coding theory. This book contains survey articles on topics such as difference sets, polynomials, and pseudorandomness.
New Advances in Designs, Codes and Cryptography
Title | New Advances in Designs, Codes and Cryptography PDF eBook |
Author | Charles J. Colbourn |
Publisher | Springer Nature |
Pages | 442 |
Release | |
Genre | |
ISBN | 303148679X |
Information Security, Coding Theory and Related Combinatorics
Title | Information Security, Coding Theory and Related Combinatorics PDF eBook |
Author | Dean Crnković |
Publisher | IOS Press |
Pages | 460 |
Release | 2011 |
Genre | Computers |
ISBN | 1607506629 |
"Published in cooperation with NATO Emerging Security Challenges Division"--T.p.