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» On multiplication in finite fields
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94
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DCC
2006
IEEE
16 years 5 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
139
Voted
ISSAC
2009
Springer
163views Mathematics» more  ISSAC 2009»
16 years 5 days 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»
16 years 16 hour 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...
149
Voted
FOCS
2007
IEEE
15 years 12 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