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Explicit Nonlinear Functions beyond the Fourier bound

ePrint Report: Explicit Nonlinear Functions beyond the Fourier bound Swastik Kopparty, Rishabh Kothary, Shanthanu S. Rai We study the problem of constructing highly nonlinear vectorial maps $F: \mathbb{F}_2^n \to \mathbb{F}_2^m$. Concretely, we want an $F$ and an $A = A(m,n)>0$ as small as possible, so that for every affine map $L: \mathbb{F}_2^n \to \mathbb{F}_2^m$ (of the form $L(x) = Mx + b$) w

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