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Abstract: We study the nonlinearity of functions defined on a finite field with 2^melements which are the trace of a polynomial of degree 7 or more generalpolynomials. We show that for m odd such functions have rather goodnonlinearity properties. We use for that recent results of Maisner and Nartabout zeta functions of supersingular curves of genus 2. We give some criterionfor a vectorial function not to be almost perfect nonlinear.



Author: Eric Férard (UPF), François Rodier (IML)

Source: https://arxiv.org/



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