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» On multiplication in finite fields
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DCC
2006
IEEE
14 years 7 months ago
Efficient Computation of Roots in Finite Fields
We present an algorithm to compute r-th roots in Fqm with complexity O((log m + r log q)m2 log2 q) for certain choices of m and q. This compares well to previously known algorithms...
Paulo S. L. M. Barreto, José Felipe Voloch
ISSAC
2009
Springer
163views Mathematics» more  ISSAC 2009»
14 years 2 months ago
Fast arithmetics in artin-schreier towers over finite fields
An Artin-Schreier tower over the finite field Fp is a tower of field extensions generated by polynomials of the form Xp − X − α. Following Cantor and Couveignes, we give a...
Luca De Feo, Éric Schost
ISCAS
2008
IEEE
287views Hardware» more  ISCAS 2008»
14 years 1 months ago
A high speed word level finite field multiplier using reordered normal basis
— Reordered normal basis is a certain permutation of a type II optimal normal basis. In this paper, a high speed design of a word level finite field multiplier using reordered ...
Ashkan Hosseinzadeh Namin, Huapeng Wu, Majid Ahmad...
FOCS
2007
IEEE
14 years 1 months ago
Hardness of Reconstructing Multivariate Polynomials over Finite Fields
We study the polynomial reconstruction problem for low-degree multivariate polynomials over finite field F[2]. In this problem, we are given a set of points x ∈ {0, 1}n and ta...
Parikshit Gopalan, Subhash Khot, Rishi Saket