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arxiv: 0706.0447 · v1 · submitted 2007-06-04 · 🧮 math.NT · cs.CR· cs.DM· math.AG

Non lin\'earit\'e des fonctions bool\'eennes donn\'ees par des traces de polyn\^omes de degr\'e binaire 3

classification 🧮 math.NT cs.CRcs.DMmath.AG
keywords omespolyndegrearitfonctionspolynomialsassociassociated
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Nous \'etudions la non lin\'earit\'e des fonctions d\'efinies sur F_{2^m} o\`u $m$ est un entier impair, associ\'ees aux polyn\^omes de degr\'e 7 ou \`a des polyn\^omes plus g\'en\'eraux. ----- We study the nonlinearity of the functions defined on F_{2^m} where $m$ is an odd integer, associated to the polynomials of degree 7 or more general polynomials.

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