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On cubic-like bent Boolean functions
June 12, 2023, 7:24 a.m. |
IACR News www.iacr.org
ePrint Report: On cubic-like bent Boolean functions
Claude Carlet, Irene Villa
Cubic bent Boolean functions (i.e. bent functions of algebraic degree at most 3) have the property that, for every nonzero element $a$ of $\mathbb{F}_2^n$, the derivative $D_af(x)=f(x)+f(x+a)$ of $f$ admits at least one derivative $D_bD_af(x)=f(x)+f(x+a)+f(x+b)+f(x+a+b)$ that is equal to constant function 1. We study the general class of those Boolean functions having this property, which we call cubic-like bent. We study the properties of such functions and the structure …
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