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Algebraic Design Theory and Hadamard Matrices

ADTHM, Lethbridge, Alberta, Canada, July 2014

  • Charles J. Colbourn

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 133)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Gene Awyzio, Jennifer Seberry
    Pages 13-28
  3. Dean Crnković, Hadi Kharaghani
    Pages 43-60
  4. Dean Crnković, Sanja Rukavina, Vladimir D. Tonchev
    Pages 61-69
  5. Dragomir Ž.-Doković, Ilias S. Kotsireas
    Pages 71-82
  6. Dragomir Ž.-Doković, Ilias S. Kotsireas
    Pages 83-92
  7. Ronan Egan, Dane Flannery, Padraig Ó Catháin
    Pages 93-106
  8. Chuan Guo, Douglas R. Stinson, Tran van Trung
    Pages 125-136
  9. Joanne L. Hall, Asha Rao
    Pages 137-147
  10. W. H. Holzmann, H. Kharaghani, S. Suda
    Pages 149-157
  11. Jonathan Jedwab, Amy Wiebe
    Pages 159-169
  12. Ilias S. Kotsireas, Jennifer Seberry, Yustina S. Suharini
    Pages 171-187
  13. Paul C. Leopardi
    Pages 189-199
  14. A. Mohammadian, B. Tayfeh-Rezaie
    Pages 209-212
  15. Padraig Ó Catháin, Ian M. Wanless
    Pages 213-221
  16. Ferenc Szöllősi
    Pages 223-234

About these proceedings

Introduction

This volume develops the depth and breadth of the mathematics underlying the construction and analysis of Hadamard matrices and their use in the construction of combinatorial designs. At the same time, it pursues current research in their numerous applications in security and cryptography, quantum information, and communications. Bridges among diverse mathematical threads and extensive applications make this an invaluable source for understanding both the current state of the art and future directions.

The existence of Hadamard matrices remains one of the most challenging open questions in combinatorics. Substantial progress on their existence has resulted from advances in algebraic design theory using deep connections with linear algebra, abstract algebra, finite geometry, number theory, and combinatorics. Hadamard matrices arise in a very diverse set of applications. Starting with applications in experimental design theory and the theory of error-correcting codes, they have found unexpected and important applications in cryptography, quantum information theory, communications, and networking.

Keywords

Hadamard matrices algebraic design theory coding theory combinatorics computer security quantum information theory

Editors and affiliations

  • Charles J. Colbourn
    • 1
  1. 1.School of Computing, Informatics, and Decision Systems EngineeringArizona State UniversityTempeUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-17729-8
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-17728-1
  • Online ISBN 978-3-319-17729-8
  • Series Print ISSN 2194-1009
  • Series Online ISSN 2194-1017
  • Buy this book on publisher's site
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