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DCC
1999
IEEE
13 years 8 months ago
A General Polynomial Sieve
An important component of the index calculus methods for finding discrete logarithms is the acquisition of smooth polynomial relations. Gordon and McCurley (1992) developed a sieve...
Shuhong Gao, Jason Howell
CORR
2011
Springer
155views Education» more  CORR 2011»
13 years 6 days ago
On the Generation of Positivstellensatz Witnesses in Degenerate Cases
One can reduce the problem of proving that a polynomial is nonnegative, or more generally of proving that a system of polynomial inequalities has no solutions, to finding polynomi...
David Monniaux, Pierre Corbineau
GIAE
2004
Springer
119views Mathematics» more  GIAE 2004»
14 years 1 months ago
Polynomial General Solutions for First Order Autonomous ODEs
For a first order autonomous ODE, we give a polynomial time algorithm to decide whether it has a polynomial general solution and to compute one if it exists. Experiments show that...
Ruyong Feng, Xiao-Shan Gao
ARSCOM
2005
106views more  ARSCOM 2005»
13 years 8 months ago
Chromatic Equivalence of Generalized Ladder Graphs
A class of graphs called generalized ladder graphs is defined. A sufficient condition for pairs of these graphs to be chromatically equivalent is proven. In addition a formula for...
Stephen Guattery, Gary Haggard, Ronald C. Read
ECCC
2011
223views ECommerce» more  ECCC 2011»
13 years 3 months ago
A Case of Depth-3 Identity Testing, Sparse Factorization and Duality
Polynomial identity testing (PIT) problem is known to be challenging even for constant depth arithmetic circuits. In this work, we study the complexity of two special but natural ...
Chandan Saha, Ramprasad Saptharishi, Nitin Saxena