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Cyclic Difference Sets

Cyclic Difference Sets
Author: Leonard D. Baumert
Publisher: Springer
Total Pages: 172
Release: 2006-11-15
Genre: Mathematics
ISBN: 3540364536

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Cyclic Difference Sets

Cyclic Difference Sets
Author: Leonard D. Baumert
Publisher:
Total Pages: 180
Release: 2014-01-15
Genre:
ISBN: 9783662202456

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Difference Sets, Sequences and their Correlation Properties

Difference Sets, Sequences and their Correlation Properties
Author: A. Pott
Publisher: Springer Science & Business Media
Total Pages: 451
Release: 2012-12-06
Genre: Mathematics
ISBN: 9401144591

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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 From Difference Sets

Codes From Difference Sets
Author: Cunsheng Ding
Publisher: World Scientific
Total Pages: 354
Release: 2014-08-08
Genre: Mathematics
ISBN: 981461937X

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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

Groups, Difference Sets, and the Monster
Author: K.T. Arasu
Publisher: Walter de Gruyter
Total Pages: 477
Release: 2011-06-24
Genre: Mathematics
ISBN: 311089310X

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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.


Difference Sets

Difference Sets
Author: Emily H. Moore
Publisher: American Mathematical Soc.
Total Pages: 315
Release: 2013-06-13
Genre: Mathematics
ISBN: 0821891766

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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