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ASIACRYPT
2003
Springer
13 years 10 months ago
On Class Group Computations Using the Number Field Sieve
The best practical algorithm for class group computations in imaginary quadratic number fields (such as group structure, class number, discrete logarithm computations) is a varian...
Mark L. Bauer, Safuat Hamdy
FPGA
2000
ACM
128views FPGA» more  FPGA 2000»
13 years 8 months ago
Factoring large numbers with programmable hardware
The fastest known algorithms for factoring large numbers share a core sieving technique. The sieving cores find numbers that are completely factored over a prime base set raised t...
Hea Joung Kim, William H. Mangione-Smith
ANTS
2006
Springer
114views Algorithms» more  ANTS 2006»
13 years 9 months ago
The Pseudosquares Prime Sieve
We present the pseudosquares prime sieve, which finds all primes up to n. Define p to be the smallest prime such that the pseudosquare Lp > n/((p)(log n)2 ); here (x) is the pri...
Jonathan Sorenson
JOC
2011
81views more  JOC 2011»
13 years 4 days ago
An L(1/3) Discrete Logarithm Algorithm for Low Degree Curves
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...
ISPDC
2005
IEEE
13 years 10 months ago
A Distributed Prime Sieving Algorithm based on Scheduling by Multiple Edge Reversal
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,...