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» Division algorithms for Bernstein polynomials
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ANTS
2006
Springer
94views Algorithms» more  ANTS 2006»
13 years 11 months ago
Fast Bounds on the Distribution of Smooth Numbers
Let P(n) denote the largest prime divisor of n, and let (x, y) be the number of integers n x with P(n) y. In this paper we present improvements to Bernstein's algorithm, whi...
Scott T. Parsell, Jonathan Sorenson
CAP
2010
13 years 2 months ago
Parallel sparse polynomial division using heaps
We present a parallel algorithm for exact division of sparse distributed polynomials on a multicore processor. This is a problem with significant data dependencies, so our solutio...
Michael B. Monagan, Roman Pearce
JSC
2011
99views more  JSC 2011»
12 years 10 months ago
Sparse polynomial division using a heap
In 1974, Johnson showed how to multiply and divide sparse polynomials using a binary heap. This paper introduces a new algorithm that uses a heap to divide with the same complexit...
Michael B. Monagan, Roman Pearce
CODCRY
2011
Springer
247views Cryptology» more  CODCRY 2011»
12 years 11 months ago
List Decoding for Binary Goppa Codes
This paper presents a list-decoding algorithm for classical irreducible binary Goppa codes. The algorithm corrects, in polynomial time, approximately n − p n(n − 2t − 2) err...
Daniel J. Bernstein
AAECC
2000
Springer
81views Algorithms» more  AAECC 2000»
13 years 7 months ago
On Short Multiplications and Divisions
Computing only the low degree terms of the product of two univariate polynomials is called a short multiplication. By decomposition into subproblems, a short multiplication can be ...
Thom Mulders