 |
Free and accessible knowledge |
Non linéarité des fonctions booléennes données par des traces de polynômes de degré binaire 3
Abstract : We 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 of binary degree equal to 3. 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.
Cited literature [21 references]
https://hal.archives-ouvertes.fr/hal-00151591
Contributor : François Rodier Connect in order to contact the contributor
Submitted on : Monday, June 4, 2007 - 4:31:54 PM
Last modification on : Monday, November 15, 2021 - 7:30:02 PM
Long-term archiving on: : Thursday, April 8, 2010 - 6:53:09 PM
Contributor : François Rodier Connect in order to contact the contributor
Submitted on : Monday, June 4, 2007 - 4:31:54 PM
Last modification on : Monday, November 15, 2021 - 7:30:02 PM
Long-term archiving on: : Thursday, April 8, 2010 - 6:53:09 PM
Files
FerRod.pdf
Files produced by the author(s)