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PAIRING
2007
Springer
140views Cryptology» more  PAIRING 2007»
15 years 10 months ago
The Tate Pairing Via Elliptic Nets
We derive a new algorithm for computing the Tate pairing on an elliptic curve over a finite field. The algorithm uses a generalisation of elliptic divisibility sequences known as...
Katherine E. Stange
COMPGEOM
2000
ACM
15 years 8 months ago
When crossings count - approximating the minimum spanning tree
We present an (1+ε)-approximation algorithm for computing the minimum-spanning tree of points in a planar arrangement of lines, where the metric is the number of crossings betwee...
Sariel Har-Peled, Piotr Indyk
ALENEX
2010
156views Algorithms» more  ALENEX 2010»
15 years 6 months ago
Tabulation Based 5-Universal Hashing and Linear Probing
Previously [SODA'04] we devised the fastest known algorithm for 4-universal hashing. The hashing was based on small pre-computed 4-universal tables. This led to a five-fold i...
Mikkel Thorup, Yin Zhang
BMCBI
2006
115views more  BMCBI 2006»
15 years 4 months ago
Multivariate curve resolution of time course microarray data
Background: Modeling of gene expression data from time course experiments often involves the use of linear models such as those obtained from principal component analysis (PCA), i...
Peter D. Wentzell, Tobias K. Karakach, Sushmita Ro...
STOC
2012
ACM
209views Algorithms» more  STOC 2012»
13 years 7 months ago
Nearly optimal solutions for the chow parameters problem and low-weight approximation of halfspaces
The Chow parameters of a Boolean function f : {−1, 1}n → {−1, 1} are its n + 1 degree-0 and degree-1 Fourier coefficients. It has been known since 1961 [Cho61, Tan61] that ...
Anindya De, Ilias Diakonikolas, Vitaly Feldman, Ro...