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ON THE GOWERS NORM OF PSEUDORANDOM BINARY SEQUENCES

Part of: Probabilistic theory: distribution modulo $1$; metric theory of algorithms Exponential sums and character sums

Published online by Cambridge University Press:  13 March 2009

HARALD NIEDERREITER  and
JOËL RIVAT
HARALD NIEDERREITER
Affiliation:
Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543, Republic of Singapore (email: nied@math.nus.edu.sg)
JOËL RIVAT*
Affiliation:
Institut de Mathématiques de Luminy, CNRS-UMR 6206, Université de la Méditerranée, 163 avenue de Luminy, Case 907, 13288 Marseille Cedex 9, France (email: rivat@iml.univ-mrs.fr)
*
✉For correspondence; e-mail: rivat@iml.univ-mrs.fr
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Abstract

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We study the Gowers norm for periodic binary sequences and relate it to correlation measures for such sequences. The case of periodic binary sequences derived from inversive pseudorandom numbers is considered in detail.

Keywords

Gowers normpseudorandombinary sequenceadditive charactercorrelation

MSC classification

Secondary: 11K45: Pseudo-random numbers; Monte Carlo methods 11L40: Estimates on character sums
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 79 , Issue 2 , April 2009 , pp. 259 - 271
Copyright
Copyright © Australian Mathematical Society 2009

References

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