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» A Modular Algorithm for Computing Polynomial GCDs over Numbe...
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STOC
2005
ACM
158views Algorithms» more  STOC 2005»
14 years 6 months ago
Polynomial time quantum algorithm for the computation of the unit group of a number field
We present a quantum algorithm for the computation of the irrational period lattice of a function on Zn which is periodic in a relaxed sense. This algorithm is applied to compute t...
Arthur Schmidt, Ulrich Vollmer
PKC
1998
Springer
123views Cryptology» more  PKC 1998»
13 years 9 months ago
Two Efficient Algorithms for Arithmetic of Elliptic Curves Using Frobenius Map
In this paper, we present two efficient algorithms computing scalar multiplications of a point in an elliptic curve defined over a small finite field, the Frobenius map of which ha...
Jung Hee Cheon, Sung-Mo Park, Sangwoo Park, Daeho ...
STACS
2007
Springer
13 years 12 months ago
New Approximation Algorithms for Minimum Cycle Bases of Graphs
We consider the problem of computing an approximate minimum cycle basis of an undirected non-negative edge-weighted graph G with m edges and n vertices; the extension to directed ...
Telikepalli Kavitha, Kurt Mehlhorn, Dimitrios Mich...