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» Computing Sparse Multiples of Polynomials
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CORR
2007
Springer
105views Education» more  CORR 2007»
13 years 7 months ago
Finding low-weight polynomial multiples using discrete logarithm
— Finding low-weight multiples of a binary polynomial is a difficult problem arising in the context of stream ciphers cryptanalysis. The best algorithms to solve this problem ar...
Frédéric Didier, Yann Laigle-Chapuy
IPPS
2008
IEEE
14 years 2 months ago
On the representation and multiplication of hypersparse matrices
Multicore processors are marking the beginning of a new era of computing where massive parallelism is available and necessary. Slightly slower but easy to parallelize kernels are ...
Aydin Buluç, John R. Gilbert
DCC
2008
IEEE
14 years 7 months ago
Sublinear Recovery of Sparse Wavelet Signals
There are two main classes of decoding algorithms for "compressed sensing," those which run time time polynomial in the signal length and those which use sublinear resou...
Ray Maleh, Anna C. Gilbert
CANS
2011
Springer
258views Cryptology» more  CANS 2011»
12 years 7 months ago
Fast Computation on Encrypted Polynomials and Applications
In this paper, we explore fast algorithms for computing on encrypted polynomials. More specifically, we describe efficient algorithms for computing the Discrete Fourier Transform,...
Payman Mohassel
CASC
2007
Springer
112views Mathematics» more  CASC 2007»
14 years 1 months ago
Polynomial Division Using Dynamic Arrays, Heaps, and Packed Exponent Vectors
A common way of implementing multivariate polynomial multiplication and division is to represent polynomials as linked lists of terms sorted in a term ordering and to use repeated ...
Michael B. Monagan, Roman Pearce