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» Division algorithms for Bernstein polynomials
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ANTS
2006
Springer
94views Algorithms» more  ANTS 2006»
15 years 1 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
14 years 4 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
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JSC
2011
99views more  JSC 2011»
14 years 10 days 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»
14 years 1 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»
14 years 9 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