The explanation of the formal duality of Kerdock and Preparata codes is one of the outstanding results in the field of applied algebra in the last few years. This result is related to the discovery of large sets of quad riphase 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. It is the purpose of this book to illustrate the connection between these three topics. Most articles grew out of lectures given at the NATO Ad vanced Study Institute on "Difference sets, sequences and their correlation properties". This workshop took place in Bad Windsheim (Germany) in August 1998. The editors thank the NATO Scientific Affairs Division for the generous support of this workshop. Without this support, the present collection of articles would not have been realized.
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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 Landers 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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