1 citations · 2 across the 6 of their papers we have counts for
9 papers
Bad witnesses for a composite number
Johnathan Djella Legnongo, Tony Ezome, Florian Luca
We describe the average sizes of the set of bad witnesses for a pseudo-primality test which is the product of a multiple-rounds Miller-Rabin test by the Galois test.
Rational Points of some genus curves from the rank quotient strategy
Tony Ezome, Brice Miayoka Moussolo, Régis Freguin Babindamana
In 1922, Mordell conjectured that the set of rational points on a smooth curve over with genus is finite. This has been proved by Faltings in 1983. Howev…
The equivariant complexity of multiplication in finite field extensions
Jean-Marc Couveignes, Tony Ezome
We study the complexity of multiplication of two elements in a finite field extension given by their coordinates in a normal basis. We show how to control this complexity using the…
Minimal Hopf-Galois Structures on Separable Field Extensions
Tony Ezome, Cornelius Greither
In Hopf-Galois theory, every -Hopf-Galois structure on a field extension gives rise to an injective map from the set of -sub-Hopf algebras of into the…
On finite field arithmetic in characteristic
Tony Ezome, Mohamadou Sall
We are interested in extending normal bases of to bases of which allow fast arithmetic in $\mathbf{F}…
Normal Bases using 1-dimensional Algebraic Groups
Tony Ezome, Mohamadou Sall
This paper surveys and illustrates geometric methods for constructing normal bases allowing efficient finite field arithmetic. These bases are constructed using the additive group,…