Difference Sets, Sequences and their Correlation Properties
By: edited by A. Pott, P.V. Kumar, T. Helleseth, D. Jungnickel
Contributors: Kumar, P. V.; Helleseth, T.; Jungnickel, D.
Series: NATO Science Series, Series C: Mathematical and Physical Sciences, 1389-2185 -- 542; NATO science series -- 542.
Publisher: Springer Netherlands; Imprint; Springer
Published: 1999
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 456
ISBN-13: 9789401144599
Other titles: Proceedings of the NATO Advanced Study Institute on Difference Sets, Sequence and their Correlation Properties, Bad Winsheim, 2-14 August 1998
Description: 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).