7 papers
On the near prime-order MNT curves
Duc-Phong Le, Nadia El Mrabet, Safia Haloui +1
In their seminar paper, Miyaji, Nakabayashi and Takano introduced the first method to construct families of prime-order elliptic curves with small embedding degrees, namely k = 3,…
Codes from Jacobian surfaces
Safia Haloui
This paper is concerned with some Algebraic Geometry codes on Jacobians of genus 2 curves. We derive a lower bound for the minimum distance of these codes from an upper "Weil type"…
On the number of rational points on Prym varieties over finite fields
Yves Aubry, Safia Haloui
We give upper and lower bounds for the number of rational points on Prym varieties over finite fields. Moreover, we determine the exact maximum and minimum number of rational point…
Number of points on abelian and Jacobian varieties over finite fields
Yves Aubry, Safia Haloui, Gilles Lachaud
We give upper and lower bounds on the number of points on abelian varieties over finite fields, and lower bounds specific to Jacobian varieties. We also determine exact formulas fo…
The characteristic polynomials of abelian varieties of dimensions 4 over finite fields
Safia Haloui, Vijaykumar Singh
We describe the set of characteristic polynomials of abelian varieties of dimension 4 over finite fields.
The characteristic polynomials of abelian varieties of dimensions 3 over finite fields
Safia Haloui
We describe the set of characteristic polynomials of abelian varieties of dimension 3 over finite fields.
The minimum and maximum number of rational points on jacobian surfaces over finite fields
Safia Haloui
We give some bounds on the numbers of rational points on abelian varieties and jacobians varieties over finite fields. The main result is that we determine the maximum and minimum…