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» The Magic of a Number System
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118
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TCS
2008
15 years 3 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
106
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ACISP
2008
Springer
15 years 10 months ago
Efficient Modular Arithmetic in Adapted Modular Number System Using Lagrange Representation
Christophe Nègre, Thomas Plantard
86
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FCCM
2005
IEEE
113views VLSI» more  FCCM 2005»
15 years 9 months ago
A Comparison of Floating Point and Logarithmic Number Systems for FPGAs
Michael Haselman, Michael J. Beauchamp, Aaron Wood...
128
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MYCRYPT
2005
Springer
189views Cryptology» more  MYCRYPT 2005»
15 years 9 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