On the number of rational points of Jacobians over finite fields
P Lebacque, A Zykin - arXiv preprint arXiv:1412.2609, 2014 - arxiv.org
In this article we prove lower and upper bounds for class numbers of algebraic curves
defined over finite fields. These bounds turn out to be better than most of the previously …
defined over finite fields. These bounds turn out to be better than most of the previously …
[PDF][PDF] On the number of effective divisors in algebraic function fields defined over a finite field
S Ballet, G Lachaud, R Robert - Arithmetic, Geometry, Cryptography …, 2021 - hal.science
Nous étudions le nombre de diviseurs effectifs, ayant un degré donné, d'un corps de
fonctions algébriques sur un corps fini. Nous déterminons tout d'abord des bornes …
fonctions algébriques sur un corps fini. Nous déterminons tout d'abord des bornes …
[PDF][PDF] Effective bounds on class number and estimation for any step of towers of algebraic function fields over finite fields
S Ballet, R Rolland, S Tutdere - Moscow Mathematical Journal, 2015 - scholar.archive.org
We give new effective bounds on the class number of an algebraic function field defined
over a finite field. Then we give significant examples of towers of algebraic function fields …
over a finite field. Then we give significant examples of towers of algebraic function fields …
Construction of arithmetic secret sharing schemes by using torsion limits
S Tutdere, O Uzunkol - Hacettepe Journal of Mathematics and …, 2020 - dergipark.org.tr
Cascudo, Cramer, and Xing [Torsion limits and Riemann-Roch systems for function fields
and applications, IEEE Trans. Inf. Theory, 2014] gave a construction of arithmetic secret …
and applications, IEEE Trans. Inf. Theory, 2014] gave a construction of arithmetic secret …
[PDF][PDF] Quelques Contributions aux propriétés asymptotiques des corps globaux
P Lebacque - 2017 - hal.science
L'étude des extensions algébriques infinies de corps globaux revêt de nombreuses facettes.
Elle fait appel à des mathématiques très variées telles que la topologie, la théorie des …
Elle fait appel à des mathématiques très variées telles que la topologie, la théorie des …