Cyclic Difference Sets


Cyclic Difference Sets
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Cyclic Difference Sets


Cyclic Difference Sets
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Author : Leonard D. Baumert
language : en
Publisher:
Release Date : 2014-01-15

Cyclic Difference Sets written by Leonard D. Baumert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Difference Sets Sequences And Their Correlation Properties


Difference Sets Sequences And Their Correlation Properties
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Author : A. Pott
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Difference Sets Sequences And Their Correlation Properties written by A. Pott and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


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
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Author : Ding Cunsheng
language : en
Publisher: World Scientific
Release Date : 2014-08-08

Codes From Difference Sets written by Ding Cunsheng and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-08 with Mathematics categories.


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.



Cyclic Difference Sets


Cyclic Difference Sets
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FREE 30 Days

Author : Leonard D. Baumert
language : en
Publisher: Springer
Release Date : 2006-11-15

Cyclic Difference Sets written by Leonard D. Baumert and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.




Difference Sets


Difference Sets
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Author : Emily H. Moore
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-06-13

Difference Sets written by Emily H. Moore and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-13 with Mathematics categories.


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



Crc Handbook Of Combinatorial Designs


Crc Handbook Of Combinatorial Designs
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Author : Charles J. Colbourn
language : en
Publisher: CRC Press
Release Date : 2010-12-12

Crc Handbook Of Combinatorial Designs written by Charles J. Colbourn and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-12 with Mathematics categories.


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:



Characters And Cyclotomic Fields In Finite Geometry


Characters And Cyclotomic Fields In Finite Geometry
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Author : Bernhard Schmidt
language : en
Publisher: Springer
Release Date : 2004-10-14

Characters And Cyclotomic Fields In Finite Geometry written by Bernhard Schmidt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-14 with Mathematics categories.


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



Groups Difference Sets And The Monster


Groups Difference Sets And The Monster
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Author : K.T. Arasu
language : en
Publisher: Walter de Gruyter
Release Date : 2011-06-24

Groups Difference Sets And The Monster written by K.T. Arasu and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-24 with Mathematics categories.


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 And Their Applications


Difference Sets And Their Applications
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Author : Weisheng Qiu
language : en
Publisher: World Scientific Publishing Company
Release Date : 2010-10-31

Difference Sets And Their Applications written by Weisheng Qiu and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-31 with Mathematics categories.


This book introduces the recent progress on the multiplier conjecture, prime power conjecture, Lander conjecture; including the author's and his graduate student T Feng's work on the multiplier conjecture. It provides a sufficiently broad introduction to algebraic approach for studying difference sets, including group ring, representation theory of finite groups, cyclotomic fields, etc. It also introduces the intricate relationships between difference sets and cryptography, for example, quasi-perfect sequences and cyclic (4n–1, 2n–1, n–1)- difference sets, bent functions and Hadamard difference sets, perfect nonlinear maps and semiregular relative difference sets.



Planar Cyclic Difference Packings


Planar Cyclic Difference Packings
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Author : Christopher N. Swanson
language : en
Publisher:
Release Date : 1999

Planar Cyclic Difference Packings written by Christopher N. Swanson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.