Author : Dean Crnković
Publisher : IOS Press
Page : 460 pages
File Size : 12,86 MB
Release : 2011
Category : Computers
ISBN : 1607506629
"Published in cooperation with NATO Emerging Security Challenges Division"--T.p.
Author : A. Pott
Publisher : Springer Science & Business Media
Page : 451 pages
File Size : 44,16 MB
Release : 2012-12-06
Category : 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.
Author : Bruce C. Berndt
Publisher : Wiley-Interscience
Page : 608 pages
File Size : 46,82 MB
Release : 1998-06
Category : Mathematics
ISBN :
Devised in the 19th century, Gauss and Jacobi Sums are classical formulas that form the basis for contemporary research in many of today's sciences. This book offers readers a solid grounding on the origin of these abstract, general theories. Though the main focus is on Gauss and Jacobi, the book does explore other relevant formulas, including Cauchy.
Author : Leonard D. Baumert
Publisher : Springer
Page : 172 pages
File Size : 44,85 MB
Release : 2006-11-15
Category : Mathematics
ISBN : 3540364536
Author : Cunsheng Ding
Publisher : World Scientific
Page : 354 pages
File Size : 28,97 MB
Release : 2014-08-08
Category : 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.
Author : Thomas Beth
Publisher : Cambridge University Press
Page : 730 pages
File Size : 16,90 MB
Release : 1999-11-18
Category : Mathematics
ISBN : 9780521444323
This is the first volume of the second edition of the standard text on design theory.
Author : K. T. Arasu
Publisher : Walter de Gruyter
Page : 333 pages
File Size : 15,31 MB
Release : 2008-08-22
Category : Mathematics
ISBN : 3110198118
Following an initiative of the late Hans Zassenhaus in 1965, the Departments of Mathematics at The Ohio State University and Denison University organize conferences in combinatorics, group theory, and ring theory. Between May 18-21, 2000, the 25th conference of this series was held. Usually, there are twenty to thirty invited 20-minute talks in each of the three main areas. However, at the 2000 meeting, the combinatorics part of the conference was extended, to honor the 65th birthday of Professor Dijen Ray-Chaudhuri. This volulme is the proceedings of this extension. Most of the papers are in coding theory and design theory, reflecting the major interest of Professor Ray-Chaudhuri, but there are articles on association schemes, algebraic graph theory, combinatorial geometry, and network flows as well. There are four surveys and seventeen research articles, and all of these went through a thorough refereeing process. The volume is primarily recommended for researchers and graduate students interested in new developments in coding theory and design theory.
Author : Thomas Beth
Publisher : Cambridge University Press
Page : 524 pages
File Size : 40,89 MB
Release : 1999-11-18
Category : Mathematics
ISBN : 9780521772310
This is the second edition of the standard text on design theory. Exercises are included throughout, and the book concludes with an extensive and updated bibliography of well over 1800 items.
Author : C. Ding
Publisher : Springer Science & Business Media
Page : 404 pages
File Size : 46,65 MB
Release : 2012-12-06
Category : Computers
ISBN : 1447105516
This book contains survey papers and research papers by leading experts on sequences and their applications. It discusses both the theory of sequences and their applications in cryptography, coding theory, communications systems, numerical computation and computer simulation. Sequences have important applications in ranging systems, spread spectrum communication systems, multi-terminal system identification, code division multiply access communications systems, global positioning systems, software testing, circuit testing, computer simulation, and stream ciphers. The papers contained in this volume bring together experts from discrete mathematics, computer science and communications engineering, and help to bridge advances in these different areas.
Author : Kai-Uwe Schmidt
Publisher : Walter de Gruyter GmbH & Co KG
Page : 356 pages
File Size : 19,54 MB
Release : 2019-07-08
Category : Mathematics
ISBN : 3110642093
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.
