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Difference Sets, Sequences and their Correlation Properties

  • Book
  • © 1999

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Editors:
  1. A. Pott

    1. Otto-von-Guericke-Universität, Magdeburg, Germany

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  2. P. V. Kumar

    1. University of Southern California, Los Angeles, USA

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  3. T. Helleseth

    1. University of Bergen, Norway

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  4. D. Jungnickel

    1. University of Augsburg, Germany

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Part of the book series: Nato Science Series C: (ASIC, volume 542)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-viii
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  2. Perfect Ternary Arrays

    • K. T. Arasu, J. F. Dillon
    Pages 1-15

  3. Stream Ciphers and Correlation

    • K. Brincat, F. C. Piper, P. R. Wild
    Pages 17-44

  4. Error Correcting Codes, Correlation and Quantum Entanglement

    • A. R. Calderbank
    Pages 45-84

  5. A Unified Approach to Difference Sets with gcd(V,N) > 1

    • James A. Davis, Jonathan Jedwab
    Pages 85-112

  6. Codes, Correlations and Power Control in OFDM

    • James A. Davis, Jonathan Jedwab, Kenneth G. Paterson
    Pages 113-132

  7. Kasami Power Functions, Permutation Polynomials and Cyclic Difference Sets

    • Hans Dobbertin
    Pages 133-158

  8. Construction of Signals with Favorable Correlation Properties

    • S. W. Golomb
    Pages 159-194

  9. Codes and Sequences Over ℤ4 — A Tutorial Overview

    • Tor Helleseth, P. Vijay Kumar
    Pages 195-225

  10. The Merit Factor of Binary Sequences

    • Tom Høholdt
    Pages 227-237

  11. Lander’s Tables are Complete!

    • Joel E. Iiams
    Pages 239-257

  12. Difference Sets: An Introduction

    • Dieter Jungnickel, Alexander Pott
    Pages 259-295

  13. Applications of Difference Sets to the Aperture Design in Multielement Systems in Radio Science and Astronomy

    • L. E. Kopilovich
    Pages 297-330

  14. Constructive Representation Theoretic Methods and Non-Abelian Difference Sets

    • Robert A. Liebler
    Pages 331-352

  15. Survey of Results on Signal Patterns for Locating One or Multiple Targets

    • Oscar Moreno
    Pages 353-368

  16. Sequence Design for CDMA Systems

    • Hans D. Schotten
    Pages 369-392

  17. Bent Functions and Coding Theory

    • Jacques Wolfmann
    Pages 393-418

  18. Recent Results on Difference Sets with Classical Parameters

    • Qing Xiang
    Pages 419-437

  19. Back Matter

    Pages 439-448
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Keywords

About this book

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.

Editors and Affiliations

  • Otto-von-Guericke-Universität, Magdeburg, Germany

    A. Pott

  • University of Southern California, Los Angeles, USA

    P. V. Kumar

  • University of Bergen, Norway

    T. Helleseth

  • University of Augsburg, Germany

    D. Jungnickel

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