In this paper we investigate the efficiency of the function field sieve to compute discrete logarithms in the finite fields F3n . Motivated by attacks on identity based encrypti...
Robert Granger, Andrew J. Holt, Dan Page, Nigel P....
The predominant thread-based approach to concurrent programming is bug-prone, difficult to reason about, and does not scale well to large numbers of processors. Sieves provide a s...
We estimate the yield of the number field sieve factoring algorithm when applied to the 1024-bit composite integer RSA-1024 and the parameters as proposed in the draft version [17...
Arjen K. Lenstra, Eran Tromer, Adi Shamir, Wil Kor...
We present an algorithm for solving the discrete logarithm problem in Jacobians of families of plane curves whose degrees in X and Y are low with respect to their genera. The fin...
Andreas Enge, Pierrick Gaudry, Emmanuel Thom&eacut...
Abstract— In this article, we propose a fully distributed algorithm for finding all primes in an given interval [2..n] (or (L, R), more generally), based on the SMER — Schedul...
Gabriel Paillard, Christian Antoine Louis Lavault,...