12 search results - page 2 / 3 » On factorization of multivariate polynomials over algebraic ... |
ANTS
2010
Springer
13 years 8 months ago
2010
Springer
Lattices over number elds arise from a variety of sources in algorithmic algebra and more recently cryptography. Similar to the classical case of Z-lattices, the choice of a nice,...
TC
2002
13 years 4 months ago
2002
We present a new multivariate interpolation algorithm over arbitrary fields which is primarily suited for small finite fields. Given function values at arbitrary t points, we show ...
EUROCRYPT
2012
Springer
11 years 7 months ago
2012
Springer
Abstract. The goal of this paper is to further study the index calculus method that was first introduced by Semaev for solving the ECDLP and later developed by Gaudry and Diem. In...
CORR
2010
Springer
13 years 2 months ago
2010
Springer
In this paper we derive aggregate separation bounds, named after Davenport-MahlerMignotte (DMM), on the isolated roots of polynomial systems, specifically on the minimum distance ...
SODA
2003
ACM
13 years 6 months ago
2003
ACM
This work examines algebraic techniques for comparing quadratic algebraic numbers, thus yielding methods for deciding key predicates in various geometric constructions. Our motiva...