We consider exceptional APN functions on F2m , which by definition are functions that are APN on infinitely many extensions of F2m . Our main result is that polynomial functions of odd degree are not… (More)

We prove a necessary condition for some polynomials of degree 4e (e an odd number) to be APN over $\mathbb{F}_{q^n}$ for large n, and we investigate the polynomials f of degree 12.

Boolean functions on the space F2 are not only important in the theory of error-correcting codes, but also in cryptography. In these two cases, the nonlinearity of these functions is a main concept.… (More)

Les fonctions booléennes vectorielles sont employées dans la cryptographie pour construire des algorithmes de chiffrement par bloc. Un critère important sur ces fonctions est une résistance élevée à… (More)

BACKGROUND
Exposure to laboratory animals often causes the appearance of immunologic sensitization and symptoms.
OBJECTIVE
Our aim was to determine the incidence of occupational rhinoconjunctivitis… (More)

Boolean functions on the space F2 are not only important in the theory of error-correcting codes, but also in cryptography, where they occur in private key systems. In both cases, the properties of… (More)

We show how to construct error-correcting codes from flag varieties on a finite field Fq. We give some examples. For some codes, we give the parameters and give the weights and the number of… (More)

This article studies the small weight codewords of the functional code CHerm(X), with X a non-singular Hermitian variety of PG(N , q2). The main result of this article is that the small weight… (More)