On the nonlinearity of linear recurrence sequences

Igor E. Shparlinski*, Arne Winterhof

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)340-344
Number of pages5
JournalApplied Mathematics Letters
Volume19
Issue number4
DOIs
Publication statusPublished - Apr 2006

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