Difference Sets, Sequences, and Their Correlation Properties

. Ed(s): Pott, Alexander; Kumar, P. Vijay (University of Southern California, Los Angeles, USA); Helleseth, Tor; Jungnickel, Dieter

ISBN 10: 0792359585 / ISBN 13: 9780792359586

Editore: Kluwer Academic Publishers, 1999

Proceedings of the NATO Advanced Study Institute on Difference Sets, Sequence and their Correlation Properties, Bad Winsheim, 2-14 August 1998 Editor(s): Pott, Alexander; Kumar, P. Vijay (University of Southern California, Los Angeles, USA); Helleseth, Tor; Jungnickel, Dieter. Series: NATO Science Series C. Num Pages: 456 pages, 7 black & white illustrations, biography. BIC Classification: PBCH; PBV. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 244 x 170 x 25. Weight in Grams: 818. . 1999. Hardback. . . . . Codice articolo V9780792359586

Riassunto:

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 sequences over 4 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. Most of the articles collected here contain descriptions of the connection 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).

Contenuti: Preface. Perfect Ternary Arrays; K.T. Arasu, J.F. Dillon. Stream Ciphers and Correlation; K. Brincat, et al. Error Correcting Codes, Correlation and Quantum Entanglement; A.R. Calderbank. A Unified Approach to Difference Sets with ged (v, n)>1; J.A. Davis, J. Jedwab. Codes, Correlations and Power Control in OFDM; J.A. Davis, et al. Kasami Power Functions, Permutation Polynomials and Cyclic Difference Sets; H. Dobbertin. Construction of Signals with Favorable Correlations Properties; S.W. Golomb. Codes and Sequences over Zeta4 - A Tutorial Overview; T. Helleseth, P.V. Kumar. The Merit Factor of Binary Sequences; T. Høholdt. Lander's Tables are Complete! J.E. Iiams. Difference Sets: An Introduction; D. Jungnickel, A. Pott. Applications of Difference Sets to the Aperture Design in Multielement Systems in Radio Science and Astronomy; L.E. Kopilovich. Constructive Representation Theoretic Methods and Non-Abelian Difference Sets; R.A. Liebler. Survey of Results on Signal Patterns for Locating One or Multiple Targets; O. Moreno. Sequence Design for CDMA Systems - Mean-Square Correlation Properties of Sequence Families; H.D. Schotten. Bent Functions and Coding Theory; J. Wolfmann. Recent Results on Difference Sets with Classical Parameters; Q. Xiang. Index.

Dati bibliografici

Titolo: Difference Sets, Sequences, and Their ...
Casa editrice: Kluwer Academic Publishers
Data di pubblicazione: 1999
Legatura: Rilegato
Condizione: New