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ANTS
2004
Springer
121views Algorithms» more  ANTS 2004»
15 years 5 months ago
Function Field Sieve in Characteristic Three
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....
183
Voted
POPL
2007
ACM
16 years 1 days ago
Implementing deterministic declarative concurrency using sieves
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...
Sam Lindley
ASIACRYPT
2003
Springer
15 years 5 months ago
Factoring Estimates for a 1024-Bit RSA Modulus
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...
JOC
2011
81views more  JOC 2011»
14 years 6 months 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
15 years 5 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,...