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9780792359586

Difference Sets, Sequences and Their Correlation Properties: Proceedings of the NATO Advanced Study Institute on Difference Sets, Sequence and Their Correlation Properties, Bad Winsheim, 2-14 August 1998

by ; ; ;
  • ISBN13:

    9780792359586

  • ISBN10:

    0792359585

  • Format: Hardcover
  • Copyright: 1999-09-01
  • Publisher: Springer Verlag
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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 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. 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).

Table of Contents

Preface vii
Perfect Ternary Arrays
1(16)
K.T. Arasu
J.F. Dillon
Stream Ciphers and Correlation
17(28)
K. Brincat
F.C. Piper
P.R. Wild
Error Correcting Codes, Correlation and Quantum Engtanglement
45(40)
A.R. Calderbank
A Unified Approach to Difference Sets with gcd (v,n) > 1
85(28)
James A. Davis
Jonathan Jedwab
Codes, Correlations and Power Control in OFDM
113(20)
James A. Davis
Jonathan Jedwab
Kenneth G. Paterson
Kasami Power Functions, Permutation Polynomials and Cyclic Difference Sets
133(26)
Hans Dobbertin
Construction of Signals with Favorable Correlation Properties
159(36)
S.W. Golomb
Codes and Sequences over Z4 - A Tutorial Overview
195(32)
Tor Helleseth
P. Vijay Kumar
The Merit Factor of Binary Sequences
227(12)
Tom Høholdt
Lander's Tables are Complete!
239(20)
Joel E. Iiams
Difference Sets: An Introduction
259(38)
Dieter Jungnickel
Alexander Pott
Applications of Difference Sets to the Aperture Design in Multielement Systems in Radio Science and Astronomy
297(34)
L.E. Kopilovich
Constructive Representation Theoretic Methods and Non-Abelian Difference Sets
331(22)
Robert A. Liebler
Survey of Results on Signal Patterns for Locating One or Multiple Targets
353(16)
Oscar Moreno
Sequence Design for CDMA Systems - Mean-Square Correlation Properties of Sequence Families
369(24)
Hans D. Schotten
Bent Functions and Coding Theory
393(26)
Jacques Wolfinann
Recent Results on Difference Sets with Classical Parameters
419(20)
Qing Xiang
Index 439

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