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» Using number fields to compute logarithms in finite fields
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STOC
2005
ACM
144views Algorithms» more  STOC 2005»
14 years 8 months ago
Pseudorandom generators for low degree polynomials
We investigate constructions of pseudorandom generators that fool polynomial tests of degree d in m variables over finite fields F. Our main construction gives a generator with se...
Andrej Bogdanov
ARC
2008
Springer
175views Hardware» more  ARC 2008»
13 years 10 months ago
Multivariate Gaussian Random Number Generator Targeting Specific Resource Utilization in an FPGA
Abstract. Financial applications are one of many fields where a multivariate Gaussian random number generator plays a key role in performing computationally extensive simulations. ...
Chalermpol Saiprasert, Christos-Savvas Bouganis, G...
CHES
2000
Springer
167views Cryptology» more  CHES 2000»
14 years 25 days ago
A High Performance Reconfigurable Elliptic Curve Processor for GF(2m)
This work proposes a processor architecture for elliptic curves cryptosystems over fields GF(2m ). This is a scalable architecture in terms of area and speed that exploits the abil...
Gerardo Orlando, Christof Paar
MOC
2002
113views more  MOC 2002»
13 years 8 months ago
Computation of several cyclotomic Swan subgroups
Let Cl(OK [G]) denote the locally free class group, that is the group of stable isomorphism classes of locally free OK [G]-modules, where OK is the ring of algebraic integers in th...
Timothy Kohl, Daniel R. Replogle
PKC
1998
Springer
123views Cryptology» more  PKC 1998»
14 years 2 days ago
Two Efficient Algorithms for Arithmetic of Elliptic Curves Using Frobenius Map
In this paper, we present two efficient algorithms computing scalar multiplications of a point in an elliptic curve defined over a small finite field, the Frobenius map of which ha...
Jung Hee Cheon, Sung-Mo Park, Sangwoo Park, Daeho ...