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Difference Sets, Sequences and their Correlation Properties

  • A. Pott
  • P. V. Kumar
  • T. Helleseth
  • D. Jungnickel

Part of the NATO Science Series book series (ASIC, volume 542)

Table of contents

  1. Front Matter
    Pages i-viii
  2. K. T. Arasu, J. F. Dillon
    Pages 1-15
  3. K. Brincat, F. C. Piper, P. R. Wild
    Pages 17-44
  4. James A. Davis, Jonathan Jedwab
    Pages 85-112
  5. James A. Davis, Jonathan Jedwab, Kenneth G. Paterson
    Pages 113-132
  6. Tor Helleseth, P. Vijay Kumar
    Pages 195-225
  7. Tom Høholdt
    Pages 227-237
  8. Joel E. Iiams
    Pages 239-257
  9. Dieter Jungnickel, Alexander Pott
    Pages 259-295
  10. Hans D. Schotten
    Pages 369-392
  11. Jacques Wolfmann
    Pages 393-418
  12. Back Matter
    Pages 439-448

About this book

Introduction

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.

Keywords

Permutation Phase Signal algebra coding coding theory patterns radio sets tables

Editors and affiliations

  • A. Pott
    • 1
  • P. V. Kumar
    • 2
  • T. Helleseth
    • 3
  • D. Jungnickel
    • 4
  1. 1.Otto-von-Guericke-UniversitätMagdeburgGermany
  2. 2.University of Southern CaliforniaLos AngelesUSA
  3. 3.University of BergenNorway
  4. 4.University of AugsburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-011-4459-9
  • Copyright Information Kluwer Academic Publishers 1999
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-7923-5959-3
  • Online ISBN 978-94-011-4459-9
  • Series Print ISSN 1389-2185
  • Buy this book on publisher's site