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FOCM
2006
59views more  FOCM 2006»
8 years 6 months ago
Newton-Hensel Interpolation Lifting
The main result of this paper is a new version of Newton-Hensel lifting that relates to interpolation questions. It allows one to lift polynomials in Z[x] from information modulo a...
Martin Avendano, Teresa Krick, Ariel Pacetti
CHES
2000
Springer
114views Cryptology» more  CHES 2000»
8 years 10 months ago
Efficient Generation of Prime Numbers
The generation of prime numbers underlies the use of most public-key schemes, essentially as a major primitive needed for the creation of key pairs or as a computation stage appear...
Marc Joye, Pascal Paillier, Serge Vaudenay
CHES
2006
Springer
133views Cryptology» more  CHES 2006»
8 years 10 months ago
Fast Generation of Prime Numbers on Portable Devices: An Update
The generation of prime numbers underlies the use of most public-key cryptosystems, essentially as a primitive needed for the creation of RSA key pairs. Surprisingly enough, despit...
Marc Joye, Pascal Paillier
ISSAC
1997
Springer
138views Mathematics» more  ISSAC 1997»
8 years 10 months ago
Fast Polynomial Factorization Over High Algebraic Extensions of Finite Fields
New algorithms are presented for factoring polynomials of degree n over the finite field of q elements, where q is a power of a fixed prime number. When log q = n1+a , where a ...
Erich Kaltofen, Victor Shoup
CODCRY
2009
Springer
121views Cryptology» more  CODCRY 2009»
9 years 25 days ago
On Weierstrass Semigroups of Some Triples on Norm-Trace Curves
In this paper, we consider the norm-trace curves which are defined by the equation yqr−1 + yqr−2 + · · · + y = x qr−1 q−1 over IFqr where q is a power of a prime number...
Gretchen L. Matthews
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