Author: Emily H. Moore
Publisher: American Mathematical Soc.
ISBN: 0821891766
Category : Mathematics
Languages : en
Pages : 315
Book Description
Difference sets belong both to group theory and to combinatorics. Studying them requires tools from geometry, number theory, and representation theory. This book lays a foundation for these topics, including a primer on representations and characters of f
Difference Sets
Author: Emily H. Moore
Publisher: American Mathematical Soc.
ISBN: 0821891766
Category : Mathematics
Languages : en
Pages : 315
Book Description
Difference sets belong both to group theory and to combinatorics. Studying them requires tools from geometry, number theory, and representation theory. This book lays a foundation for these topics, including a primer on representations and characters of f
Publisher: American Mathematical Soc.
ISBN: 0821891766
Category : Mathematics
Languages : en
Pages : 315
Book Description
Difference sets belong both to group theory and to combinatorics. Studying them requires tools from geometry, number theory, and representation theory. This book lays a foundation for these topics, including a primer on representations and characters of f
Difference Sets, Sequences and their Correlation Properties
Author: A. Pott
Publisher: Springer Science & Business Media
ISBN: 9401144591
Category : Mathematics
Languages : en
Pages : 451
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 9401144591
Category : Mathematics
Languages : en
Pages : 451
Book Description
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.
Cyclic Difference Sets
Author: Leonard D. Baumert
Publisher: Springer
ISBN: 3540364536
Category : Mathematics
Languages : en
Pages : 172
Book Description
Publisher: Springer
ISBN: 3540364536
Category : Mathematics
Languages : en
Pages : 172
Book Description
Codes From Difference Sets
Author: Cunsheng Ding
Publisher: World Scientific
ISBN: 981461937X
Category : Mathematics
Languages : en
Pages : 354
Book Description
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.
Publisher: World Scientific
ISBN: 981461937X
Category : Mathematics
Languages : en
Pages : 354
Book Description
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.
Groups, Difference Sets, and the Monster
Author: K.T. Arasu
Publisher: Walter de Gruyter
ISBN: 311089310X
Category : Mathematics
Languages : en
Pages : 477
Book Description
This series is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.
Publisher: Walter de Gruyter
ISBN: 311089310X
Category : Mathematics
Languages : en
Pages : 477
Book Description
This series is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.
Characters and Cyclotomic Fields in Finite Geometry
Author: Bernhard Schmidt
Publisher: Springer
ISBN: 3540457976
Category : Mathematics
Languages : en
Pages : 112
Book Description
This monograph contributes to the existence theory of difference sets, cyclic irreducible codes and similar objects. The new method of field descent for cyclotomic integers of presribed absolute value is developed. Applications include the first substantial progress towards the Circulant Hadamard Matrix Conjecture and Ryser`s conjecture since decades. It is shown that there is no Barker sequence of length l with 13
Publisher: Springer
ISBN: 3540457976
Category : Mathematics
Languages : en
Pages : 112
Book Description
This monograph contributes to the existence theory of difference sets, cyclic irreducible codes and similar objects. The new method of field descent for cyclotomic integers of presribed absolute value is developed. Applications include the first substantial progress towards the Circulant Hadamard Matrix Conjecture and Ryser`s conjecture since decades. It is shown that there is no Barker sequence of length l with 13
Design Theory: Volume 1
Author: Thomas Beth
Publisher: Cambridge University Press
ISBN: 9780521444323
Category : Mathematics
Languages : en
Pages : 730
Book Description
This is the first volume of the second edition of the standard text on design theory.
Publisher: Cambridge University Press
ISBN: 9780521444323
Category : Mathematics
Languages : en
Pages : 730
Book Description
This is the first volume of the second edition of the standard text on design theory.
Combinatorics of Symmetric Designs
Author: Yury J. Ionin
Publisher: Cambridge University Press
ISBN: 9780521818339
Category : Language Arts & Disciplines
Languages : en
Pages : 548
Book Description
The aim of this book is to provide a unified exposition of the theory of symmetric designs with emphasis on recent developments. The authors cover the combinatorial aspects of the theory giving particular attention to the construction of symmetric designs and related objects. All researchers in combinatorial designs, coding theory, and finite geometries will find much of interest here, and this book can also serve as a text for an advanced course in combinatorial designs.
Publisher: Cambridge University Press
ISBN: 9780521818339
Category : Language Arts & Disciplines
Languages : en
Pages : 548
Book Description
The aim of this book is to provide a unified exposition of the theory of symmetric designs with emphasis on recent developments. The authors cover the combinatorial aspects of the theory giving particular attention to the construction of symmetric designs and related objects. All researchers in combinatorial designs, coding theory, and finite geometries will find much of interest here, and this book can also serve as a text for an advanced course in combinatorial designs.
Canadian Journal of Mathematics
Combinatorial Designs
Author: W.D. Wallis
Publisher: CRC Press
ISBN: 9780824779429
Category : Mathematics
Languages : en
Pages : 348
Book Description
Publisher: CRC Press
ISBN: 9780824779429
Category : Mathematics
Languages : en
Pages : 348
Book Description