Nonlinarity of Boolean functions and hyperelliptic curves - Mathematics > Number TheoryReportar como inadecuado




Nonlinarity of Boolean functions and hyperelliptic curves - Mathematics > Number Theory - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

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.



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

Fuente: https://arxiv.org/







Documentos relacionados