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» Fixed Points for Discrete Logarithms
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MOC
2010
13 years 2 months ago
The number field sieve for integers of low weight
We define the weight of an integer N to be the smallest w such that N can be represented as w i=1 i2ci , with 1,..., w{1,-1}. Since arithmetic modulo a prime of low weight is parti...
Oliver Schirokauer
COMPGEOM
2008
ACM
13 years 9 months ago
Consistent digital rays
Given a fixed origin o in the d-dimensional grid, we give a novel definition of digital rays dig(op) from o to each grid point p. Each digital ray dig(op) approximates the Euclide...
Jinhee Chun, Matias Korman, Martin Nöllenburg...
QCQC
1998
Springer
110views Communications» more  QCQC 1998»
13 years 11 months ago
The Hidden Subgroup Problem and Eigenvalue Estimation on a Quantum Computer
Abstract. A quantum computer can efficiently find the order of an element in a group, factors of composite integers, discrete logarithms, stabilisers in Abelian groups, and hidden ...
Michele Mosca, Artur Ekert
IJNSEC
2011
78views more  IJNSEC 2011»
13 years 2 months ago
Multi-authority Electronic Voting Scheme Based on Elliptic Curves
In this paper, a new multi authority electronic voting scheme based on elliptic curves is proposed. According to the proposed scheme, each voter casts the vote as a point on the e...
Chinniah Porkodi, Ramalingam Arumuganathan, Krishn...
SIAMSC
2011
115views more  SIAMSC 2011»
13 years 2 months ago
A Fast and Stable Solver for Singular Integral Equations on Piecewise Smooth Curves
A scheme is presented for the numerical solution of singular integral equations on piecewise smooth curves. It relies on several techniques: reduction, Nystr¨om discretization, co...
Johan Helsing