Codes from Difference Sets - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Codes from Difference Sets write by Cunsheng Ding. This book was released on 2014-08-08. Codes from Difference Sets available in PDF, EPUB and Kindle. 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
Codes From Difference Sets - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Codes From Difference Sets write by Cunsheng Ding. This book was released on 2014-08-08. Codes From Difference Sets available in PDF, EPUB and Kindle. 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
Difference Sets, Sequences and their Correlation Properties - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Difference Sets, Sequences and their Correlation Properties write by A. Pott. This book was released on 2012-12-06. Difference Sets, Sequences and their Correlation Properties available in PDF, EPUB and Kindle. 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
Codes and Polynomials in the Study of Cyclic Difference Sets - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Codes and Polynomials in the Study of Cyclic Difference Sets write by Thomas E. Norwood. This book was released on 1996. Codes and Polynomials in the Study of Cyclic Difference Sets available in PDF, EPUB and Kindle.
Combinatorics and Finite Fields
Combinatorics and Finite Fields - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Combinatorics and Finite Fields write by Kai-Uwe Schmidt. This book was released on 2019-07-08. Combinatorics and Finite Fields available in PDF, EPUB and Kindle. 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.
