19 citations · 21 across the 6 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…
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…
Functions of degree 4e that are not APN infinitely often
François Rodier
We prove a necessary condition for some polynomials of degree 4e (e an odd number) to be APN over F q n for large n, and we investigate the polynomials f of degree 12.
Error-Correction Capability of Reed-Muller codes
Stéphanie Dib, François Rodier
We present an asymptotic limit between correctable and uncor-rectable errors on the Reed-Muller codes of any order. This limit is theoretical and does not depend of any decoding al…
Some More Functions That Are Not APN Infinitely Often. The Case of Kasami exponents
François Rodier
We prove a necessary condition for some polynomials of Kasami degree to be APN over F_{q^n} for large n.
Bounds on the degree of APN polynomials The Case of
Gregor Leander, François Rodier
We prove that functions $f:\f{2^m} \to \f{2^m}$ of the form where is any non-affine polynomial are APN on at most a finite number of fields $\f{2^m}$. Furthe…