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ANTS
2004
Springer
121views Algorithms» more  ANTS 2004»
15 years 11 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....
ANTS
1998
Springer
93views Algorithms» more  ANTS 1998»
15 years 10 months ago
Evaluation of Linear Relations between Vectors of a Lattice in Euclidean Space
We prove that to find a nontrivial integer linear relation between vectors of a lattice L IRn , whose euclidean length is at most M, one needs O n5+ (ln Mn/)1+ binary operations f...
Igor A. Semaev
ANTS
1994
Springer
83views Algorithms» more  ANTS 1994»
15 years 10 months ago
On orders of optimal normal basis generators
In this paper we give some computational results on the multiplicative orders of optimal normal basis generators in F2n over F2 for n 1200 whenever the complete factorization of 2...
Shuhong Gao, Scott A. Vanstone
ANTS
1994
Springer
92views Algorithms» more  ANTS 1994»
15 years 10 months ago
The complexity of greatest common divisor computations
We study the complexity of expressing the greatest common divisor of n positive numbers as a linear combination of the numbers. We prove the NP-completeness of finding an optimal s...
Bohdan S. Majewski, George Havas
ANTS
2010
Springer
291views Algorithms» more  ANTS 2010»
15 years 10 months ago
Fixed Points for Discrete Logarithms
: We establish a conjecture of Brizolis that for every prime p > 3 there is a primitive root r and an integer t in the interval [1, p − 1] with logr t = t. Here, logr is the d...
Mariana Levin, Carl Pomerance, K. Soundararajan