Difference Sets, Sequences and their Correlation Properties

Difference Sets, Sequences and their Correlation Properties

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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 qDifference sets, sequences and their correlation propertiesq. 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.QUATERNARY AND OCTARY CODING OPTIONS We can also derive a variety of quaternary and octary OFDM codes using Corollaries 6.4 and 6.5 to identify variable numbers of cosets, again tradingoff code rate, minimum distance andanbsp;...

Title:Difference Sets, Sequences and their Correlation Properties
Author:A. Pott, V Kumaran, Tor Helleseth, Dieter Jungnickel
Publisher:Springer Science & Business Media - 2012-12-06


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