Nonlinarity of Boolean functions and hyperelliptic curves

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dc.creatorFérard, Eric
dc.creatorRodier, François
dc.date2007-05-12
dc.date.accessioned2026-07-07T08:01:07Z
dc.date.available2026-07-07T08:01:07Z
dc.descriptionWe study the nonlinearity of functions defined on a finite field with 2^m elements which are the trace of a polynomial of degree 7 or more general polynomials. We show that for m odd such functions have rather good nonlinearity properties. We use for that recent results of Maisner and Nart about zeta functions of supersingular curves of genus 2. We give some criterion for a vectorial function not to be almost perfect nonlinear.
dc.identifierhttps://arxiv.org/abs/0705.1751
dc.identifierhttp://arxiv.org/abs/0705.1751
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128852
dc.subjectNumber Theory
dc.titleNonlinarity of Boolean functions and hyperelliptic curves
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