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TCS
2008
13 years 7 months ago
Real algebraic numbers and polynomial systems of small degree
We present exact and complete algorithms based on precomputed Sturm-Habicht sequences, discriminants and invariants, that classify, isolate with rational points and compare the re...
Ioannis Z. Emiris, Elias P. Tsigaridas
FCCM
2005
IEEE
113views VLSI» more  FCCM 2005»
14 years 1 months ago
A Comparison of Floating Point and Logarithmic Number Systems for FPGAs
Michael Haselman, Michael J. Beauchamp, Aaron Wood...
MYCRYPT
2005
Springer
189views Cryptology» more  MYCRYPT 2005»
14 years 1 months ago
An Analysis of Double Base Number Systems and a Sublinear Scalar Multiplication Algorithm
In this paper we produce a practical and efficient algorithm to find a decomposition of type n = kˆ i=1 2si 3ti , si, ti ∈ N ∪ {0} with k ≤   c + o(1) ¡ log n log log n ....
Mathieu Ciet, Francesco Sica