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ALGORITHMICA
2006
149views more  ALGORITHMICA 2006»
14 years 11 months ago
Partial Lifting and the Elliptic Curve Discrete Logarithm Problem
It has been suggested that a major obstacle in finding an index calculus attack on the elliptic curve discrete logarithm problem lies in the difficulty of lifting points from ellip...
Qi Cheng, Ming-Deh A. Huang
HPCS
2009
IEEE
15 years 3 months ago
FFT-Based Dense Polynomial Arithmetic on Multi-cores
We report efficient implementation techniques for FFT-based dense multivariate polynomial arithmetic over finite fields, targeting multi-cores. We have extended a preliminary study...
Marc Moreno Maza, Yuzhen Xie
AUTOMATICA
2002
95views more  AUTOMATICA 2002»
14 years 11 months ago
Series expansions for analytic systems linear in control
This paper presents a series expansion for the evolution of a class of nonlinear systems characterized by constant input vector fields. We present a series expansion that can be c...
Francesco Bullo
ASIACRYPT
2006
Springer
15 years 3 months ago
The 2-Adic CM Method for Genus 2 Curves with Application to Cryptography
Abstract. The complex multiplication (CM) method for genus 2 is currently the most efficient way of generating genus 2 hyperelliptic curves defined over large prime fields and suit...
Pierrick Gaudry, T. Houtmann, D. Kohel, Christophe...
105
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MOC
2002
113views more  MOC 2002»
14 years 11 months ago
Computation of several cyclotomic Swan subgroups
Let Cl(OK [G]) denote the locally free class group, that is the group of stable isomorphism classes of locally free OK [G]-modules, where OK is the ring of algebraic integers in th...
Timothy Kohl, Daniel R. Replogle