Overview

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).

Full Product Details

Author:   A. Pott ,  P. Vijay Kumar ,  Tor Helleseth ,  Dieter Jungnickel
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 1999
Volume:   542
Dimensions:   Width: 16.00cm , Height: 2.30cm , Length: 24.00cm
Weight:   1.430kg
ISBN:  

9780792359593

ISBN 10:   0792359593
Pages:   448
Publication Date:   30 September 1999
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Perfect Ternary Arrays.- Stream Ciphers and Correlation.- Error Correcting Codes, Correlation and Quantum Engtanglement.- A Unified Approach to Difference Sets with gcd (v, n) > 1.- Codes, Correlations and Power Control in OFDM.- Kasami Power Functions, Permutation Polynomials and Cyclic Difference Sets.- Construction of Signals with Favorable Correlation Properties.- Codes and Sequences over ?4 - A Tutorial Overview.- The Merit Factor of Binary Sequences.- Lander’s Tables are Complete!.- Difference Sets: An Introduction.- Applications of Difference Sets to the Aperture Design in Multielement Systems in Radio Science and Astronomy.- Constructive Representation Theoretic Methods and Non-Abelian Difference Sets.- Survey of Results on Signal Patterns for Locating One or Multiple Targets.- Sequence Design for CDMA Systems - Mean-Square Correlation Properties of Sequence Families.- Bent Functions and Coding Theory.- Recent Results on Difference Sets with Classical Parameters.

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