Lower Bounds on the number of rational points of Jacobians over finite fields and application to algebraic function fields in towers
S Ballet, R Rolland, S Tutdere - arXiv preprint arXiv:1303.5822, 2013 - arxiv.org
We give effective bounds for the class number of any algebraic function field of genus $ g $
defined over a finite field. These bounds depend on the possibly partial information on the …
defined over a finite field. These bounds depend on the possibly partial information on the …
Quadratic recursive towers of function fields over
H Stichtenoth, S Tutdere - Turkish Journal of Mathematics, 2015 - journals.tubitak.gov.tr
Abstract Let $\FF=(F_n) _ {n\geq 0} $ be a quadratic recursive tower of algebraic function
fields over the finite field $\F_2 $, ie $\FF $ is a recursive tower such that $[F_n: F_ {n-1}]= 2 …
fields over the finite field $\F_2 $, ie $\FF $ is a recursive tower such that $[F_n: F_ {n-1}]= 2 …
[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 …
On a tower of Garcia and Stichtenoth
S Tutdere - Turkish Journal of Mathematics, 2014 - journals.tubitak.gov.tr
Abstract In 2003, Garcia and Stichtenoth constructed a recursive tower F=(F_n) _ {n\geq 0}
of algebraic function fields over the finite field F_q, where q= l^ r with r\geq 1 and l> 2 is a …
of algebraic function fields over the finite field F_q, where q= l^ r with r\geq 1 and l> 2 is a …