J. Urróz

collaborators

3 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 $p + q$ 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 JimÃ©nez Urroz, Alexander MoretÃ³

Fix an integer $m$ bigger than 2. We prove that if there exists a finite group with $m p + 1$ Suylow $p$ -subgroups, where $p$ is large enough, then $m p + 1$ is prime. This improves on a…

math.CO2025

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

Every Latin square of prime power order $q$ is uniquely described by a local permutation polynomial (LPP) in the polynomial ring $F_{q} [x, y]$ . Despite this equivalence, one…