63 search results - page 7 / 13 » Efficient Computation of Roots in Finite Fields |
ASIACRYPT
2006
Springer
13 years 11 months ago
2006
Springer
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...
EUROCRYPT
2000
Springer
13 years 11 months ago
2000
Springer
We present an index-calculus algorithm for the computation of discrete logarithms in the Jacobian of hyperelliptic curves defined over finite fields. The complexity predicts that i...
DCC
2000
IEEE
13 years 7 months ago
2000
IEEE
It has become increasingly common to implement discrete-logarithm based public-key protocols on elliptic curves over finite fields. The basic operation is scalar multiplication: ta...
STOC
2007
ACM
14 years 7 months ago
2007
ACM
We demonstrate an average-case problem that is as hard as finding (n)-approximate shortest vectors in certain n-dimensional lattices in the worst case, where (n) = O( log n). The...
DAGM
2010
Springer
13 years 8 months ago
2010
Springer
In this paper we present a novel approach for expanding spherical 3D-tensor fields of arbitrary order in terms of a tensor valued local Fourier basis. For an efficient implementati...