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» Computation of class numbers of quadratic number fields
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AFRICACRYPT
2010
Springer
14 years 3 months ago
Avoiding Full Extension Field Arithmetic in Pairing Computations
Abstract. The most costly operations encountered in pairing computations are those that take place in the full extension field Fpk . At high levels of security, the complexity of ...
Craig Costello, Colin Boyd, Juan Manuel Gonz&aacut...
ALENEX
2003
139views Algorithms» more  ALENEX 2003»
13 years 9 months ago
Interpolation over Light Fields with Applications in Computer Graphics
We present a data structure, called a ray interpolant tree, or RI-tree, which stores a discrete set of directed lines in 3-space, each represented as a point in 4-space. Each dire...
F. Betul Atalay, David M. Mount
CATS
2007
13 years 10 months ago
A Linear Time Algorithm for Pricing European Sequential Barrier Options
Financial derivatives are contracts concerning rights and obligations to engage in future transactions on some underlying financial instrument. A major concern in financial mark...
Peng Gao, Ron van der Meyden
ACMSE
2006
ACM
14 years 6 days ago
Achieving efficient polynomial multiplication in fermat fields using the fast Fourier transform
We introduce an efficient way of performing polynomial multiplication in a class of finite fields GF(pm ) in the frequency domain. The Fast Fourier Transform (FFT) based frequency...
Selçuk Baktir, Berk Sunar
AISC
2008
Springer
13 years 10 months ago
Parametric Linear Arithmetic over Ordered Fields in Isabelle/HOL
We use higher-order logic to verify a quantifier elimination procedure for linear arithmetic over ordered fields, where the coefficients of variables are multivariate polynomials o...
Amine Chaieb