ENGLISH

Difference Sets, Sequences and their Correlation Properties

By K. T. Arasu , J. F. Dillon (auth.) , A. Pott , P. V. Kumar , T. Helleseth , D. Jungnickel (eds.)

Book information

Publisher
Springer Netherlands
Year
1999
ISBN
978-0-7923-5959-3, 978-94-011-4459-9
DOI
10.1007/978-94-011-4459-9
Language
english
Format
PDF
Filesize
15 MB (15813013 bytes)
Series
NATO Science Series 542
Edition
1
Pages
448\450
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Combinatorics; Electrical Engineering; Discrete MaImage and Speech Processing; Field Theory and Poly

Description

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.

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