Sciweavers

ADG
2006
Springer
220views Mathematics» more  ADG 2006»
14 years 4 months ago
Cylinders Through Five Points: Complex and Real Enumerative Geometry
It is known that five points in 3 generically determine a finite number of cylinders containing those points. We discuss ways in which it can be shown that the generic (complex) nu...
Daniel Lichtblau
ADG
2006
Springer
204views Mathematics» more  ADG 2006»
14 years 4 months ago
Algorithmic Search for Flexibility Using Resultants of Polynomial Systems
This paper describes the recent convergence of four topics: polynomial systems, flexibility of three dimensional objects, computational chemistry, and computer algebra. We discuss...
Robert H. Lewis, Evangelos A. Coutsias
WAIFI
2007
Springer
121views Mathematics» more  WAIFI 2007»
14 years 5 months ago
Explicit Formulas for Real Hyperelliptic Curves of Genus 2 in Affine Representation
Stefan Erickson, Michael J. Jacobson Jr., Ning Sha...
WAIFI
2007
Springer
175views Mathematics» more  WAIFI 2007»
14 years 5 months ago
Attacking the Filter Generator over GF (2 m )
We consider the filter generator over GF(2m ) consisting of a linear feedback shift register of length k that generates a maximal length linear sequence of period 2mk − 1 over G...
Sondre Rønjom, Tor Helleseth
WAIFI
2007
Springer
141views Mathematics» more  WAIFI 2007»
14 years 5 months ago
New Point Addition Formulae for ECC Applications
Abstract. In this paper we propose a new approach to point scalar multiplication on elliptic curves defined over fields of characteristic greater than 3. It is based on new point...
Nicolas Meloni
WAIFI
2007
Springer
127views Mathematics» more  WAIFI 2007»
14 years 5 months ago
The Quadratic Extension Extractor for (Hyper)Elliptic Curves in Odd Characteristic
We propose a simple and efficient deterministic extractor for the (hyper)elliptic curve C, defined over Fq2 , where q is some power of an odd prime. Our extractor, for a given poi...
Reza Rezaeian Farashahi, Ruud Pellikaan
WAIFI
2007
Springer
110views Mathematics» more  WAIFI 2007»
14 years 5 months ago
On Kabatianskii-Krouk-Smeets Signatures
Kabastianskii, Krouk and Smeets proposed in 1997 a digital signature scheme based on random error-correcting codes. In this paper we investigate the security and the efficiency of ...
Pierre-Louis Cayrel, Ayoub Otmani, Damien Vergnaud
WAIFI
2007
Springer
122views Mathematics» more  WAIFI 2007»
14 years 5 months ago
The Simplest Method for Constructing APN Polynomials EA-Inequivalent to Power Functions
The first APN polynomials EA-inequivalent to power functions have been constructed in [7, 8] by applying CCZ-equivalence to the Gold APN functions. It is a natural question wheth...
Lilya Budaghyan
PPAM
2007
Springer
14 years 5 months ago
Enhancing Productivity in High Performance Computing through Systematic Conditioning
Abstract. In order to take full advantage of high-end computing platforms, scientific applications often require modifications to source codes, and to their build systems that ge...
Magdalena Slawiñska, Jaroslaw Slawinski, Va...