Sciweavers

205 search results - page 23 / 41
» Complexity of Polynomial Multiplication over Finite Fields
Sort
View
ISSAC
2005
Springer
110views Mathematics» more  ISSAC 2005»
15 years 4 months ago
Multivariate power series multiplication
We study the multiplication of multivariate power series. We show that over large enough fields, the bilinear complexity of the product modulo a monomial ideal M is bounded by th...
Éric Schost
STOC
2009
ACM
143views Algorithms» more  STOC 2009»
15 years 11 months ago
Affine dispersers from subspace polynomials
An affine disperser over Fn 2 for sources of dimension d is a function f : Fn 2 F2 such that for any affine space S Fn 2 of dimension at least d, we have {f(s) : s S} = F2. Aff...
Eli Ben-Sasson, Swastik Kopparty
PKC
1998
Springer
123views Cryptology» more  PKC 1998»
15 years 2 months ago
Two Efficient Algorithms for Arithmetic of Elliptic Curves Using Frobenius Map
In this paper, we present two efficient algorithms computing scalar multiplications of a point in an elliptic curve defined over a small finite field, the Frobenius map of which ha...
Jung Hee Cheon, Sung-Mo Park, Sangwoo Park, Daeho ...
ANTS
2008
Springer
106views Algorithms» more  ANTS 2008»
15 years 1 months ago
Computing in Component Groups of Elliptic Curves
Let K be a p-adic local field and E an elliptic curve defined over K. The component group of E is the group E(K)/E0(K), where E0(K) denotes the subgroup of points of good reduction...
J. E. Cremona
JSC
2011
99views more  JSC 2011»
14 years 1 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