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» Polynomial Interpretations and the Complexity of Algorithms
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CASC
2011
Springer
262views Mathematics» more  CASC 2011»
13 years 11 months ago
Practical Divide-and-Conquer Algorithms for Polynomial Arithmetic
We investigate two practical divide-and-conquer style algorithms for univariate polynomial arithmetic. First we revisit an algorithm originally described by Brent and Kung for comp...
William Hart, Andrew Novocin
CORR
2007
Springer
173views Education» more  CORR 2007»
14 years 11 months ago
Computing modular polynomials in quasi-linear time
We analyse and compare the complexity of several algorithms for computing modular polynomials. We show that an algorithm relying on floating point evaluation of modular functions...
Andreas Enge
STOC
2005
ACM
132views Algorithms» more  STOC 2005»
16 years 1 days ago
Locally decodable codes with 2 queries and polynomial identity testing for depth 3 circuits
In this work we study two, seemingly unrelated, notions. Locally Decodable Codes (LDCs) are codes that allow the recovery of each message bit from a constant number of entries of ...
Zeev Dvir, Amir Shpilka
SODA
2010
ACM
219views Algorithms» more  SODA 2010»
15 years 9 months ago
Algorithms and Complexity for Periodic Real-Time Scheduling
We investigate the preemptive scheduling of periodic tasks with hard deadlines. We show that, even in the uniprocessor case, no polynomial time algorithm can test the feasibility ...
Vincenzo Bonifaci, Ho-Leung Chan, Alberto Marchett...
COCO
2000
Springer
161views Algorithms» more  COCO 2000»
15 years 4 months ago
Characterization of Non-Deterministic Quantum Query and Quantum Communication Complexity
It is known that the classical and quantum query complexities of a total Boolean function f are polynomially related to the degree of its representing polynomial, but the optimal ...
Ronald de Wolf