3 citations · 4 across the 5 of their papers we have counts for
5 papers
Minimal degree of an isogeny between a supersingular elliptic curve and its conjugate
Yves Aubry, Roger Oyono, Christelle Vincent
Let be a supersingular elliptic curve defined over and be its conjugate. We give a bound on the minimal degree of an isogeny from to $E^{(p)}…
Non-hyperelliptic modular curves of genus 3
Enrique González-Jiménez, Roger Oyono
A curve defined over is modular of level if there exists a non-constant morphism from onto defined over for some positive integer .…
Iterative constructions of irreducible polynomials from isogenies
Alp Bassa, Gaetan Bisson, Roger Oyono
Let be a rational fraction and let be a polynomial over a finite field. Consider the transform . In certain cases, the polynomials ,…
On rationality of the intersection points of a line with a plane quartic
Roger Oyono, Christophe Ritzenthaler
We study the rationality of the intersection points of certain lines and smooth plane quartics C defined over F_q. For q \geq 127, we prove the existence of a line such that the in…
On Using Expansions to the Base of -2
Roberto Avanzi, Gerhard Frey, Tanja Lange +1
This short note investigates the effects of using expansions to the base of -2. The main applications we have in mind are cryptographic protocols, where the crucial operation is co…