3 citations · 7 across the 11 of their papers we have counts for
8 papers · 1 filter
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…
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…
Factorization and malleability of RSA modules, and counting points on elliptic curves modulo N
Luis Dieulefait, Jorge Urroz
In this paper we address two different problems related with the factorization of an RSA module N. First we can show that factoring is equivalent in deterministic polynomial time t…
Modular forms with large coefficient fields via congruences
Luis Dieulefait, Jorge Jimenez Urroz, Kenneth Ribet
In this paper we apply results from the theory of congruences of modular forms (control of reducible primes, level-lowering), the modularity of elliptic curves and Q-curves, and a…
On fields of definition of torsion points of elliptic curves with complex multiplication
Luis Dieulefait, E. Gonzalez-Jimenez, J. Jimenez Urroz
For any elliptic curve E defined over the rationals with complex multiplication and for every prime p, we describe the image of the mod p Galois representation attached to E. We de…
Square-free discriminants of Frobenius rings
Chantal David, Jorge Jimenez Urroz
Let be an elliptic curve over $\Q$. It is well known that the ring of endomorphisms of , the reduction of modulo a prime of ordinary reduction, is an order of the…