On the correlation of binary sequences

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2005Publisher:Akademiai Kiado Zrt.Journal:Studia Scientiarum Mathematicarum Hungarica, volume 42, pages 79-93 (issn: 0081-6906, eissn: 1588-2896,

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Authors: Gyarmati, K.;

doi: 10.1556/sscmath.42.2005.1.7

On the correlation of binary sequences

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Abstract

C. Mauduit conjectured that C2(E)CN3(EN) ?? Nc always holds with some constant 1/2< c = 1. This will be proved for c=2/3, more exactly if for a sequence EN =C {-1,+1}N we have C2 (EN) << N2/3 then C3 (EN) ?? N1/2. Indeed, a more general theorem is proved, involving correlation measures.

Related Organizations

Hungarian Academy of Sciences
Hungary
Alfréd Rényi Institute of Mathematics
Hungary
Alfréd Rényi Institute of Mathematics
Hungary

Keywords

Pseudo-random numbers; Monte Carlo methods, correlation measure, Irregularities of distribution, discrepancy, pseudorandom

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