Nato Science Series C:

Difference Sets, Sequences and their Correlation Properties

Editors: Pott, A., Kumaran, V., Helleseth, T., Jungnickel, D. (Eds.)

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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.

Table of contents (17 chapters)

  • Perfect Ternary Arrays

    Arasu, K. T. (et al.)

    Pages 1-15

  • Stream Ciphers and Correlation

    Brincat, K. (et al.)

    Pages 17-44

  • Error Correcting Codes, Correlation and Quantum Entanglement

    Calderbank, A. R.

    Pages 45-84

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

    Davis, James A. (et al.)

    Pages 85-112

  • Codes, Correlations and Power Control in OFDM

    Davis, James A. (et al.)

    Pages 113-132

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-94-011-4459-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $329.00
price for USA
  • ISBN 978-0-7923-5958-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-0-7923-5959-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Difference Sets, Sequences and their Correlation Properties
Editors
  • A. Pott
  • V Kumaran
  • Tor Helleseth
  • Dieter Jungnickel
Series Title
Nato Science Series C:
Series Volume
542
Copyright
1999
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-011-4459-9
DOI
10.1007/978-94-011-4459-9
Hardcover ISBN
978-0-7923-5958-6
Softcover ISBN
978-0-7923-5959-3
Series ISSN
1389-2185
Edition Number
1
Number of Pages
VIII, 448
Number of Illustrations and Tables
7 b/w illustrations
Topics