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CORR
2010
Springer
147views Education» more  CORR 2010»
15 years 5 months ago
Chunky and Equal-Spaced Polynomial Multiplication
Finding the product of two polynomials is an essential and basic problem in computer algebra. While most previous results have focused on the worst-case complexity, we instead emp...
Daniel S. Roche
TCS
2008
15 years 5 months ago
Real algebraic numbers and polynomial systems of small degree
We present exact and complete algorithms based on precomputed Sturm-Habicht sequences, discriminants and invariants, that classify, isolate with rational points and compare the re...
Ioannis Z. Emiris, Elias P. Tsigaridas
CAP
2010
15 years 4 days ago
Polynomial homotopies on multicore workstations
Homotopy continuation methods to solve polynomial systems scale very well on parallel machines. In this paper we examine its parallel implementation on multiprocessor multicore wo...
Jan Verschelde, Genady Yoffe
EUROCRYPT
2011
Springer
14 years 8 months ago
Homomorphic Signatures for Polynomial Functions
We construct the first homomorphic signature scheme that is capable of evaluating multivariate polynomials on signed data. Given the public key and a signed data set, there is an...
Dan Boneh, David Mandell Freeman
STOC
2003
ACM
96views Algorithms» more  STOC 2003»
16 years 5 months ago
Optimal oblivious routing in polynomial time
A recent seminal result of R?acke is that for any network there is an oblivious routing algorithm with a polylog competitive ratio with respect to congestion. Unfortunately, R?ack...
Yossi Azar, Edith Cohen, Amos Fiat, Haim Kaplan, H...