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ARITH
2007
IEEE
15 years 10 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 4 months 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...
COCO
2005
Springer
153views Algorithms» more  COCO 2005»
15 years 11 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 9 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...
PG
2007
IEEE
16 years 9 days 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