We investigate the Kpπ, 1 q-property for p of smooth, marked curves pX, T q defined over finite fields of characteristic p.. We prove that pX, T q has the Kpπ, 1 q-property if X

Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof.. Documents Mathématiques série dirigée par

Mathematics Subject Classification. Edwards Curves, Gaussian Hypergeometric Series, Finite Fields... of algebraic curves over finite fields. Two families of elliptic curves were

L’un des exemples les plus frappants de cette situation est certainement celui donné pour les divers recours à l’encontre de pratiques interdites institués devant le commissaire

partiular when q is not a square), there exists a maximal asymptotially exat sequenes of algebrai funtions elds namely attaining the Generalized Drinfeld-Vladut bound.. Then, we

Toute utilisation commer- ciale ou impression systématique est constitutive d’une infraction pénale.. Toute copie ou impression de ce fichier doit contenir la présente mention

We pursued our collaboration with Anwar Hasan in order to improve subquadratic space complexity multiplier based on TMVP for field represented in ONB-II.. We analyzed the

Some particular elliptic curves admit an embedding into another group in which discrete logarithms are considerably easier to compute, but these curves have a very low density: They

In this paper, the word curve stands for a reduced abso- lutely irreducible algebraic projective curve defined over the finite field I~q with q elements.. The

In this section we explain how to count the number of points on an elliptic curve .E, when the endomorphism ring of E is known.. In this case there is an extremely

— We détermine ail groups that can occur as thé group of rational points of an elliptic curve over a given finite field.. Let Fq dénote thé finite field of

Rene Schoof gave a polynomial time algorithm for counting points on elliptic curves i.e., those of genus 1, in his ground-breaking paper [Sch85].. Subsequent improvements by Elkies

In this work, we derive some properties of n-universal quadratic forms, quadratic ideals and elliptic curves over finite fields F p for primes p ≥ 5.. In the first section, we give

Theorem 1 There exists a deterministic algorithm that given an elliptic curve E over a finite field k of q elements, computes the isomorphism type of the endomorphism ring of E and if

Like GLV, our method involves reducing curves defined over number fields to obtain curves over finite fields with explicit CM.. However, we emphasise a profound difference: in

Est approuvée la convention ci-annexée avec GRTGaz définissant les modalités et les conditions de réalisation et de financement des études de dévoiement et de protection des

Au tout début, nous avions pensé qu'il s'agissait d'un problème au niveau de la transcription des procès-verbaux. Nous avions pensé qu'il pouvait tout simplement arriver que l'on

Once one has good upper bounds, one would like to show that these bounds are met by some curve, therefore one needs good methods of constructing curves; these methods include