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» Attacking the Filter Generator over GF (2 m )
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WAIFI
2007
Springer
175views Mathematics» more  WAIFI 2007»
13 years 11 months ago
Attacking the Filter Generator over GF (2 m )
We consider the filter generator over GF(2m ) consisting of a linear feedback shift register of length k that generates a maximal length linear sequence of period 2mk − 1 over G...
Sondre Rønjom, Tor Helleseth
DATE
2006
IEEE
127views Hardware» more  DATE 2006»
13 years 10 months ago
Software implementation of Tate pairing over GF(2m)
Recently, the interest about the Tate pairing over binary fields has decreased due to the existence of efficient attacks to the discrete logarithm problem in the subgroups of su...
Guido Bertoni, Luca Breveglieri, Pasqualina Fragne...
TC
2008
13 years 4 months ago
Low-Complexity Bit-Parallel Square Root Computation over GF(2^{m}) for All Trinomials
In this contribution we introduce a low-complexity bit-parallel algorithm for computing square roots over binary extension fields. Our proposed method can be applied for any type ...
Francisco Rodríguez-Henríquez, Guill...
FCCM
2006
IEEE
195views VLSI» more  FCCM 2006»
13 years 10 months ago
A Parallel Hardware Architecture for fast Gaussian Elimination over GF(2)
This paper presents a hardware-optimized variant of the well-known Gaussian elimination over GF(2) and its highly efficient implementation. The proposed hardware architecture, we...
Andrey Bogdanov, M. C. Mertens
SACRYPT
1999
Springer
13 years 9 months ago
Elliptic Curve Pseudorandom Sequence Generators
In this paper, we introduce a new approach to the generation of binary sequences by applying trace functions to elliptic curves over GF 2m. We call these sequences elliptic curve...
Guang Gong, Thomas A. Berson, Douglas R. Stinson