4 citations · 5 across the 4 of their papers we have counts for
7 papers
Periodic autocorrelation of sequences
Florian Caullery, Eric F Érard, François Rodier
The autocorrelation of a sequence is a useful criterion, among all, of resistance to cryptographic attacks. The behavior of the autocorrelations of random Boolean functions (studie…
Improved Veron Identification and Signature Schemes in the Rank Metric
Emanuele Bellini, Florian Caullery, Philippe Gaborit +2
It is notably challenging to design an efficient and secure signature scheme based on error-correcting codes. An approach to build such signature schemes is to derive it from an id…
Distribution of the absolute indicator of random Boolean functions
Florian Caullery, François Rodier
The absolute indicator is one of the measures used to determine the resistance offered by a Boolean function when used in the design of a symmetric cryptosystem. It was proposed al…
Exceptional planar polynomials
Florian Caullery, Kai-Uwe Schmidt, Yue Zhou
Planar functions are special functions from a finite field to itself that give rise to finite projective planes and other combinatorial objects. We consider polynomials over a fini…
On the classification of hyperovals
Florian Caullery, Kai-Uwe Schmidt
A hyperoval in the projective plane is a set of points no three of which are collinear. Hyperovals have been studied extensively since the 1950s…
A new large class of functions not APN infinitely often
Florian Caullery
In this paper, we show that there is no vectorial Boolean function of degree 4e, with e satisfaying certain conditions, which is APN over infinitely many extensions of its field of…
Polynomial functions of degree 20 which are APN infinitely often
Florian Caullery
We give all the polynomials functions of degree 20 which are APN over an infinity of field extensions and show they are all CCZ-equivalent to the function , which is a new ste…