Bounds on the Fourier coefficients of the weighted sum function

  • Authors:
  • Igor E. Shparlinski

  • Affiliations:
  • Department of Computing, Macquarie University, Sydney, NSW 2109, Australia

  • Venue:
  • Information Processing Letters
  • Year:
  • 2007

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Abstract

We estimate Fourier coefficients of a Boolean function which has recently been introduced in the study of read-once branching programs. Our bound implies that this function has rather ''flat'' Fourier spectrum and thus implies several lower bounds on some of its complexity measures.