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» Multiplications of Floating Point Expansions
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CORR
2008
Springer
125views Education» more  CORR 2008»
13 years 10 months ago
Simultaneous Modular Reduction and Kronecker Substitution for Small Finite Fields
We present algorithms to perform modular polynomial multiplication or modular dot product efficiently in a single machine word. We pack polynomials into integers and perform sever...
Jean-Guillaume Dumas, Laurent Fousse, Bruno Salvy
ERSA
2010
199views Hardware» more  ERSA 2010»
13 years 7 months ago
Reconfigurable Sparse Matrix-Vector Multiplication on FPGAs
Cache-based, general purpose CPUs perform at a small fraction of their maximum floating point performance when executing memory-intensive simulations, such as those required for sp...
Russell Tessier, Salma Mirza, J. Blair Perot
DAGSTUHL
2008
13 years 11 months ago
A Modified Staggered Correction Arithmetic with Enhanced Accuracy and Very Wide Exponent Range
Abstract. A so called staggered precision arithmetic is a special kind of a multiple precision arithmetic based on the underlying floating point data format (typically IEEE double ...
Frithjof Blomquist, Werner Hofschuster, Walter Kr&...
EUROGP
2009
Springer
105views Optimization» more  EUROGP 2009»
14 years 2 months ago
Quantum Circuit Synthesis with Adaptive Parameters Control
The contribution presented herein proposes an adaptive genetic algorithm applied to quantum logic circuit synthesis that, dynamically adjusts its control parameters. The adaptation...
Cristian Ruican, Mihai Udrescu, Lucian Prodan, Mir...
PKC
2004
Springer
158views Cryptology» more  PKC 2004»
14 years 3 months ago
Faster Scalar Multiplication on Koblitz Curves Combining Point Halving with the Frobenius Endomorphism
Let E be an elliptic curve defined over F2n . The inverse operation of point doubling, called point halving, can be done up to three times as fast as doubling. Some authors have t...
Roberto Maria Avanzi, Mathieu Ciet, Francesco Sica