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» Optimizing polynomials for floating-point implementation
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DATE
2009
IEEE
112views Hardware» more  DATE 2009»
15 years 4 months ago
Algebraic techniques to enhance common sub-expression elimination for polynomial system synthesis
: Common sub-expression elimination (CSE) serves as a useful optimization technique in the synthesis of arithmetic datapaths described at RTL. However, CSE has a limited potential ...
Sivaram Gopalakrishnan, Priyank Kalla
PAIRING
2010
Springer
237views Cryptology» more  PAIRING 2010»
14 years 8 months ago
High-Speed Software Implementation of the Optimal Ate Pairing over Barreto-Naehrig Curves
This paper describes the design of a fast software library for the computation of the optimal ate pairing on a Barreto–Naehrig elliptic curve. Our library is able to compute the ...
Jean-Luc Beuchat, Jorge E. González-D&iacut...
CORR
2011
Springer
155views Education» more  CORR 2011»
14 years 1 months ago
On the Generation of Positivstellensatz Witnesses in Degenerate Cases
One can reduce the problem of proving that a polynomial is nonnegative, or more generally of proving that a system of polynomial inequalities has no solutions, to finding polynomi...
David Monniaux, Pierre Corbineau
ICASSP
2009
IEEE
15 years 4 months ago
Jitter compensation in sampling via polynomial least squares estimation
Sampling error due to jitter, or noise in the sample times, affects the precision of analog-to-digital converters in a significant, nonlinear fashion. In this paper, a polynomial...
Daniel S. Weller, Vivek K. Goyal
CTRSA
2005
Springer
108views Cryptology» more  CTRSA 2005»
15 years 3 months ago
A Systematic Evaluation of Compact Hardware Implementations for the Rijndael S-Box
This work proposes a compact implementation of the AES S-box using composite field arithmetic in GF(((22 ) 2 ) 2 ). It describes a systematic exploration of different choices for...
Nele Mentens, Lejla Batina, Bart Preneel, Ingrid V...