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Designing Plateaued Boolean Functions in Spectral Domain and Their Classification

Designing Plateaued Boolean Functions in Spectral Domain and Their Classification

The design of plateaued functions over GF(2) <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</sup> , also known as 3-valued Walsh spectra functions (taking the values from the set {0, ±2 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Γ(n+s/2)1</sup> }), has been commonly approached by specifying a suitable algebraic normal form which then induces this particular Walsh spectral characterization. In …