7 citations · 11 across the 6 of their papers we have counts for
3 papers · 1 filter
Numerical verification of the Cohen-Lenstra-Martinet heuristics and of Greenberg's -rationality conjecture
Razvan Barbulescu, Jishnu Ray
In this paper we make a series of numerical experiments to support Greenberg's -rationality conjecture, we present a family of -rational biquadratic fields and we find new ex…
Improvements to the number field sieve for non-prime finite fields
Razvan Barbulescu, Pierrick Gaudry, Aurore Guillevic +1
We propose various strategies for improving the computation of discrete logarithms in non-prime fields of medium to large characteristic using the Number Field Sieve. This includes…
Finding ECM-friendly curves through a study of Galois properties
Razvan Barbulescu, Joppe W. Bos, Cyril Bouvier +2
In this paper we prove some divisibility properties of the cardinality of elliptic curves modulo primes. These proofs explain the good behavior of certain parameters when using Mon…