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ARITH
2007
IEEE
15 years 6 months ago
An Algorithm for Inversion in GF(2^m) Suitable for Implementation Using a Polynomial Multiply Instruction on GF(2)
An algorithm for inversion in GF(2m ) suitable for implementation using a polynomial multiply instruction on GF(2) is proposed. It is based on the extended Euclid's algorithm...
Katsuki Kobayashi, Naofumi Takagi, Kazuyoshi Takag...
JSC
2010
90views more  JSC 2010»
15 years 29 days ago
Modular Las Vegas algorithms for polynomial absolute factorization
Let f(X, Y ) ∈ Z[X, Y ] be an irreducible polynomial over Q. We give a Las Vegas absolute irreducibility test based on a property of the Newton polytope of f, or more precisely,...
Cristina Bertone, Guillaume Chèze, Andr&eac...
152
Voted
COCO
2005
Springer
153views Algorithms» more  COCO 2005»
15 years 8 months ago
Average-Case Computations - Comparing AvgP, HP, and Nearly-P
We examine classes of distributional problems defined in terms of polynomial-time decision algorithms with bounded error probability. The class AvgP [5] has been characterized in...
Arfst Nickelsen, Birgit Schelm
COMPGEOM
2001
ACM
15 years 6 months ago
Computing a 3-dimensional cell in an arrangement of quadrics: exactly and actually!
We present two approaches to the problem of calculating a cell in a 3-dimensional arrangement of quadrics. The first approach solves the problem using rational arithmetic. It work...
Nicola Geismann, Michael Hemmer, Elmar Schöme...
100
Voted
PG
2007
IEEE
15 years 8 months ago
Exact Evaluation of Non-Polynomial Subdivision Schemes at Rational Parameter Values
In this paper, we describe a method for exact evaluation of a limit mesh defined via subdivision on a uniform grid of any size. Other exact evaluation technique either restrict t...
Scott Schaefer, Joe D. Warren