Jordi Pujolàs
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Jordi Pujolàs has a total of 23 co-authors. Here are the top co-authors by number of shared publications:
- Josep Maria Miret
Universitat de Lleida
9 shared publications - Nacho López
Univ Lleida, Dept Matemat, Lleida, Spain
6 shared publications - Hebert Pérez-Rosés
Department of Mathematics, University of Lleida, CP 25001 Lleida, Spain
5 shared publications - Anna Rio
Departament de Matemàtiques Universitat Politècnica de Catalunya Edifici Omega Jordi Girona 1-3 08034 Barcelona Spain
2 shared publications - Benjamin Smith
Inria and Laboratoire d’Informatique de l’Ecole polytechnique, Institut Polytechnique de Paris
2 shared publications - Christophe Ritzenthaler
Institut de Mathématiques de Luminy, UMR 6206 du CNRS, Luminy, Case 907, 13288 Marseille, France
2 shared publications
Latest Publications
- 12 August 2026
- Published by World Scientific Pub Co Pte Ltd in Journal of Algebra and Its Applications
Explicit ℓ-Sylow of genus 2 curves over finite fields
In this paper, we extend an algorithm by Miret, Pujolàs and Rio to compute generators of the 2-Sylow subgroup of the Jacobian of genus 2 curves over finite fields, to cover primes [Formula: see text] and hyperelliptic curves of genus [Formula: see text]. Our algorithm is quicker as it starts from [Formula: see text] divisors instead of the whole [Formula: see text]. The outcomes for several trial curves for [Formula: see text] and 5 indicate it may lead to speedups in point counting for genus 2 curves.
- 12 August 2026
- Published by World Scientific Pub Co Pte Ltd in Journal of Algebra and Its Applications
Explicit ℓ-Sylow of genus 2 curves over finite fields
In this paper, we extend an algorithm by Miret, Pujolàs and Rio to compute generators of the 2-Sylow subgroup of the Jacobian of genus 2 curves over finite fields, to cover primes [Formula: see text] and hyperelliptic curves of genus [Formula: see text]. Our algorithm is quicker as it starts from [Formula: see text] divisors instead of the whole [Formula: see text]. The outcomes for several trial curves for [Formula: see text] and 5 indicate it may lead to speedups in point counting for genus 2 curves.
- 1 June 2019
- Published by Elsevier in Discrete Applied Mathematics
- Vol. 263, 204-211
Construction of extremal mixed graphs of diameter two
- 1 June 2019
- Published by Elsevier in Discrete Applied Mathematics
- Vol. 263, 204-211
Construction of extremal mixed graphs of diameter two
- 21 September 2018
- Published by Springer Nature in Archiv der Mathematik
- Vol. 111 (6) , 611-620
On the 2-adic valuation of the cardinality of elliptic curves over finite extensions of $\mathbb {F}_{\varvec{q}} $ F q- 21 September 2018
- Published by Springer Nature in Archiv der Mathematik
- Vol. 111 (6) , 611-620
On the 2-adic valuation of the cardinality of elliptic curves over finite extensions of $\mathbb {F}_{\varvec{q}} $ F q- 1 November 2017
- Published by Elsevier in Discrete Applied Mathematics
- Vol. 231, 190-197
The Degree/Diameter Problem for mixed abelian Cayley graphs
- 1 November 2017
- Published by Elsevier in Discrete Applied Mathematics
- Vol. 231, 190-197
The Degree/Diameter Problem for mixed abelian Cayley graphs
- Open Access
- 1 October 2016
- Published by Elsevier in Electronic Notes in Discrete Mathematics
- Vol. 54, 145-150
A Moore-like bound for mixed abelian Cayley graphs
- 1 October 2016
- Published by Elsevier in Electronic Notes in Discrete Mathematics
- Vol. 54, 145-150
Open AccessA Moore-like bound for mixed abelian Cayley graphs
- Open Access
- 1 October 2016
- Published by Elsevier in Electronic Notes in Discrete Mathematics
- Vol. 54, 151-156
A variant of the McKay-Miller-Širáň construction for mixed graphs
- 1 October 2016
- Published by Elsevier in Electronic Notes in Discrete Mathematics
- Vol. 54, 151-156
Open AccessA variant of the McKay-Miller-Širáň construction for mixed graphs
- 1 November 2015
- Published by Elsevier in Finite Fields and Their Applications
- Vol. 36, 170-188
Bisection and squares in genus 2
- 1 November 2015
- Published by Elsevier in Finite Fields and Their Applications
- Vol. 36, 170-188
Bisection and squares in genus 2
- Open Access
- 20 August 2015
- Published by Springer Nature in Archiv der Mathematik
- Vol. 105 (3) , 261-269
On the ${\ell}$ ℓ -adic valuation of the cardinality of elliptic curves over finite extensions of ${\mathbb{F}_{q}}$ F q- 20 August 2015
- Published by Springer Nature in Archiv der Mathematik
- Vol. 105 (3) , 261-269
Open AccessOn the ${\ell}$ ℓ -adic valuation of the cardinality of elliptic curves over finite extensions of ${\mathbb{F}_{q}}$ F q - 6 July 2015
- Published by Taylor & Francis in International Journal of Computer Mathematics
- Vol. 93 (8) , 1254-1264
Trisection for non-supersingular genus 2 curves in characteristic 2
We study division by 3 in Jacobians of genus 2 curves over binary fields with a 2-torsion subgroup of rank 1 or 2. We characterize the 3-torsion divisors and provide, for every D is an element of Jac(C)(F-2m), a formula for the coordinates of the divisors in the set {D' is an element of Jac(C)(F-2m) | 3D' = D}.
- 6 July 2015
- Published by Taylor & Francis in International Journal of Computer Mathematics
- Vol. 93 (8) , 1254-1264
Trisection for non-supersingular genus 2 curves in characteristic 2
We study division by 3 in Jacobians of genus 2 curves over binary fields with a 2-torsion subgroup of rank 1 or 2. We characterize the 3-torsion divisors and provide, for every D is an element of Jac(C)(F-2m), a formula for the coordinates of the divisors in the set {D' is an element of Jac(C)(F-2m) | 3D' = D}.
- 1 April 2015
- Published by Elsevier in Discrete Mathematics
- Vol. 338 (4) , 522-526
Properties of mixed Moore graphs of directed degree one
- 1 April 2015
- Published by Elsevier in Discrete Mathematics
- Vol. 338 (4) , 522-526
Properties of mixed Moore graphs of directed degree one