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Author: Emily H. Moore
Publisher: American Mathematical Soc.
ISBN: 0821891766
Category : Mathematics
Languages : en
Pages : 315
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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
Author: A. Pott
Publisher: Springer Science & Business Media
ISBN: 9401144591
Category : Mathematics
Languages : en
Pages : 451
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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.
Author: Emily H. Moore
Publisher: American Mathematical Soc.
ISBN: 0821891766
Category : Mathematics
Languages : en
Pages : 315
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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
Author: Leonard D. Baumert
Publisher: Springer
ISBN: 3540364536
Category : Mathematics
Languages : en
Pages : 172
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Book Description
Author: Cunsheng Ding
Publisher: World Scientific
ISBN: 981461937X
Category : Mathematics
Languages : en
Pages : 354
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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.
Author: K.T. Arasu
Publisher: Walter de Gruyter
ISBN: 311089310X
Category : Mathematics
Languages : en
Pages : 477
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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.
Author: Charles J. Colbourn
Publisher: CRC Press
ISBN: 9781420049954
Category : Mathematics
Languages : en
Pages : 778
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Book Description
From experimental design to cryptography, this comprehensive, easy-to-access reference contains literally all the facts you need on combinatorial designs. It includes constructions of designs, existence results, and properties of designs. Organized into six main parts, the CRC Handbook of Combinatorial Designs covers:
Author: I.B.S. Passi
Publisher: Birkhäuser
ISBN: 3034899963
Category : Mathematics
Languages : en
Pages : 247
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Book Description
The Indian National. Science Academy has planned to bring out monographs on special topics with the aim of providing acce~sible surveys/reviews of topics of current research in various fields. Prof. S.K. Malik, FNA, Editor of Publications INSA asked me in October 1997 to edit a volume on algebra in this series. I invited a number of algebraists, several of them working in group rings, and it is with great satisfaction and sincere thanks to the authors that I present here in Algebra: Some Recent Advances the sixteen contributions received in response to my invitations. I.B.S. Passi On Abelian Difference Sets K. r Arasu* and Surinder K. Sehgal 1. Introduction We review some existence and nonexistence results - new and old - on abelian difference sets. Recent surveys on difference sets can be found in Arasu (1990), Jungnickel (1992a, b), Pott (1995), Jungnickel and Schmidt (1997), and Davis and Jedwab (1996). Standard references for difference sets are Baumert (1971), Beth et al. (1998), and Lander (1983). This article presents a flavour of the subject, by discussing some selected topics. Difference sets are very important in combinatorial design theory and in commu nication engineering while designing sequences with good correlation properties. Our extended bibliography covers a wide variety of papers written in the area of difference sets and related topics.
Author: Alexander Pott
Publisher: Springer
ISBN: 3540491821
Category : Mathematics
Languages : en
Pages : 185
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Book Description
Difference sets are of central interest in finite geometry and design theory. One of the main techniques to investigate abelian difference sets is a discrete version of the classical Fourier transform (i.e., character theory) in connection with algebraic number theory. This approach is described using only basic knowledge of algebra and algebraic number theory. It contains not only most of our present knowledge about abelian difference sets, but also gives applications of character theory to projective planes with quasiregular collineation groups. Therefore, the book is of interest both to geometers and mathematicians working on difference sets. Moreover, the Fourier transform is important in more applied branches of discrete mathematics such as coding theory and shift register sequences.
Author: Charles J. Colbourn
Publisher: CRC Press
ISBN: 1420010549
Category : Computers
Languages : en
Pages : 1011
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Book Description
Continuing in the bestselling, informative tradition of the first edition, the Handbook of Combinatorial Designs, Second Edition remains the only resource to contain all of the most important results and tables in the field of combinatorial design. This handbook covers the constructions, properties, and applications of designs as well as existence
Author: J. W. P. Hirschfeld
Publisher: Cambridge University Press
ISBN: 052159538X
Category : Mathematics
Languages : en
Pages : 269
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Book Description
This volume examines state of the art research in finite geometries and designs.
