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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 notâ€¦ (More)

- Christopher Rimmer, Kent P Mcfarland, +4 authors Robert J. Taylor
- Ecotoxicology
- 2005

Anthropogenic input of mercury (Hg) into the environment has elevated risk to fish and wildlife, particularly in northeastern North America. Investigations into the transfer and fate of Hg haveâ€¦ (More)

- Kent P Mcfarland, Christopher Rimmer, +6 authors Arturo Kirkconnell
- PloS one
- 2013

Conservation planning and implementation require identifying pertinent habitats and locations where protection and management may improve viability of targeted species. The winter range of Bicknell'sâ€¦ (More)

- Yves Aubry, Philippe Langevin
- WCC
- 2005

This paper is devoted to the study of the weights of binary irreducible cyclic codes. We start from McElieceâ€™s interpretation of these weights by means of Gauss sums. Firstly, a dyadic analysis,â€¦ (More)

- Yves Aubry, Marc Perret
- Finite Fields and Their Applications
- 2004

We give a formula for the number of rational points of projective algebraic curves de ned over a nite eld, and a bound \ a la Weil" for connected ones. More precisely, we give the characteristicâ€¦ (More)

- Yves Aubry, Daniel J. Katz, Philippe Langevin
- ArXiv
- 2013

The Weil sum WK,d(a) = âˆ‘ xâˆˆK Ïˆ(x d + ax) where K is a finite field, Ïˆ is an additive character of K, d is coprime to |K|, and a âˆˆ K arises often in number-theoretic calculations, and in applicationsâ€¦ (More)

- Yves Aubry
- 2009

We give a geometric characterization of vectorial Boolean functions with differential uniformity â‰¤ 4. This enables us to give a necessary condition on the degree of the base field for a function ofâ€¦ (More)

- Yves Aubry, Marc Perret
- 2003

We prove, as an analogy of a conjecture of Artin, that if Y âˆ’â†’ X is a finite flat morphism between two singular reduced absolutely irreducible projective algebraic curves defined over a finite field,â€¦ (More)

We give upper and lower bounds for the number of points on abelian varieties over finite fields, and lower bounds specific to Jacobian varieties. We also determine exact formulas for the maximum andâ€¦ (More)

- Yves Aubry
- 2005

The paper is devoted to the study of the weight distribution of irreducible cyclic codes. We start from the interpretation due to McEliece of these weights by means of Gauss sums. Firstly, a p-adicâ€¦ (More)