On the nonlinearity of linear recurrence sequences

Igor E. Shparlinski; Arne Winterhof

doi:10.1016/j.aml.2005.04.015

On the nonlinearity of linear recurrence sequences

Igor E. Shparlinski^*, Arne Winterhof

^*Corresponding author for this work

School of Computing

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We obtain an upper bound on exponential sums of a new type with linear recurrence sequences. We apply this bound to estimate the Fourier coefficients, and thus the nonlinearity, of a Boolean function associated with a linear recurrence sequence in a natural way.

Original language	English
Pages (from-to)	340-344
Number of pages	5
Journal	Applied Mathematics Letters
Volume	19
Issue number	4
DOIs	https://doi.org/10.1016/j.aml.2005.04.015
Publication status	Published - Apr 2006

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title = "On the nonlinearity of linear recurrence sequences",

abstract = "We obtain an upper bound on exponential sums of a new type with linear recurrence sequences. We apply this bound to estimate the Fourier coefficients, and thus the nonlinearity, of a Boolean function associated with a linear recurrence sequence in a natural way.",

author = "Shparlinski, \{Igor E.\} and Arne Winterhof",

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AU - Shparlinski, Igor E.

AU - Winterhof, Arne

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N2 - We obtain an upper bound on exponential sums of a new type with linear recurrence sequences. We apply this bound to estimate the Fourier coefficients, and thus the nonlinearity, of a Boolean function associated with a linear recurrence sequence in a natural way.

AB - We obtain an upper bound on exponential sums of a new type with linear recurrence sequences. We apply this bound to estimate the Fourier coefficients, and thus the nonlinearity, of a Boolean function associated with a linear recurrence sequence in a natural way.

UR - https://www.scopus.com/pages/publications/31144463888

U2 - 10.1016/j.aml.2005.04.015

DO - 10.1016/j.aml.2005.04.015

M3 - Article

AN - SCOPUS:31144463888

SN - 0893-9659

VL - 19

SP - 340

EP - 344

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 4

ER -

On the nonlinearity of linear recurrence sequences

Abstract

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