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A large family of Boolean functions

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Publication:2787084
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DOI10.4064/aa8107-1-2016zbMath1366.94779OpenAlexW2472954009MaRDI QIDQ2787084

Min Zhang, Huaning Liu

Publication date: 24 February 2016

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa8107-1-2016


zbMATH Keywords

nonlinearityBoolean functioncollisionsparsityaverage sensitivityavalanche effectmaximum Fourier coefficient


Mathematics Subject Classification ID

Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).




Cites Work

  • Unnamed Item
  • Boolean functions derived from Fermat quotients
  • Collision and avalanche effect in families of pseudorandom binary sequences
  • On polynomial approximation of the discrete logarithm and the Diffie-Hellman mapping.
  • Interpolation of the discrete logarithm in \(\mathbb{F}_{q}\) by Boolean functions and by polynomials in several variables modulo a divisor of \(q-1\).
  • Incomplete character sums over finite fields and their application to the interpolation of the discrete logarithm by Boolean functions
  • Some estimates for character sums and applications


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