activity
20062026
most citedOn fields of definition of torsion points of elliptic curves with complex multiplication

3 citations · 7 across the 11 of their papers we have counts for

collaborators

13 papers

math.NT2026

A new attack to RSA with small private exponent and partial information

Jorge Urroz

We give a new algorithm to attack RSA with small private exponent, when some partial information of is given.The algorithm is a very simple modification of original Wiener's…

math.GR2026

The number of Sylow subgroups and a generalization of Mersenne primes

Jorge Jiménez Urroz, Alexander Moretó

Fix an integer bigger than 2. We prove that if there exists a finite group with Suylow -subgroups, where is large enough, then is prime. This improves on a…

math.CO2025

An algebraic approach to Latin squares of prime power order by local permutation polynomials

Raúl M. Falcón, Jaime Gutiérrez, Jorge Jiménez Urroz

Every Latin square of prime power order is uniquely described by a local permutation polynomial (LPP) in the polynomial ring . Despite this equivalence, one…

cs.DM2022

Local permutation polynomials and the action of e-Klenian groups

Jaime Gutierrez, Jorge Jimenez Urroz

Permutation polynomials of finite fields have many applications in Coding Theory, Cryptography and Combinatorics. In the first part of this paper we present a new family of local p…

cs.IT2021

A Study of the Separating Property in Reed-Solomon Codes by Bounding the Minimum Distance

Marcel Fernandez, Jorge Urroz

According to their strength, the tracing properties of a code can be categorized as frameproof, separating, IPP and TA. It is known that if the minimum distance of the code is larg…

math.NT2020

Every integer can be written as a square plus a squarefree

Jorge Urroz

In the paper we can prove that every integer can be written as the sum of two integers, one perfect square and one squarefree. We also establish the asympotic formula for the numbe…