Conference "Arithmetic, Geometry and Coding Theory"
March 14 - 18, 2011
CIRM, Marseille, France
Organisers: Yves Aubry (Université de la Méditerranée, IML), Christophe Ritzenthaler (Université de la Méditerranée, IML), Alexey Zykin (Mathematical Department of HSE, Laboratoire Poncelet, IITP)
In this talk, we discuss about a conjecture proposed by Hellesseth in the framework of maximal sequences and theirs cross-correlations. In particular, we give divisibility properties on the spectra of power permutations over a finite field of characteristic two.