Difference Sets, Sequences and their Correlation Properties /

The explanation of the formal duality of Kerdock and Preparata codes - one of the outstanding recent results in applied algebra - is related to the discovery of large sets of quadriphase <em>sequences</em> over Z<sub>4</sub> whose <em>correlation properties</em> a...

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Bibliographic Details
Main Author: Pott, A.
Corporate Author: SpringerLink (Online service)
Other Authors: Kumar, P. V., Helleseth, T., Jungnickel, D.
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint : Springer, 1999.
Series:NATO science series. Mathematical and physical sciences ; 542.
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary:The explanation of the formal duality of Kerdock and Preparata codes - one of the outstanding recent results in applied algebra - is related to the discovery of large sets of quadriphase <em>sequences</em> over Z<sub>4</sub> whose <em>correlation properties</em> are better than those of the best binary sequences. Moreover, the correlation properties of sequences are closely related to <em>difference</em> properties of certain sets in (cyclic) groups. <br/> Most of the articles collected here contain descriptions of the <em>connection</em> between difference sets, sequences and correlation properties of sequences. There are two more elementary introductory articles: an introduction to difference sets (by two of the editors), and an introduction to the correlation of sequences (by Solomon Golomb).
Item Description:Electronic resource.
Physical Description:1 online resource (456 pages)
ISBN:9789401144599 (electronic bk.)
9401144591 (electronic bk.)