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ASIACRYPT
2000
Springer
13 years 9 months ago
Weil Descent of Elliptic Curves over Finite Fields of Characteristic Three
The paper shows that some of elliptic curves over finite fields of characteristic three of composite degree are attacked by a more effective algorithm than Pollard’s ρ method...
Seigo Arita
INDOCRYPT
2001
Springer
13 years 9 months ago
Analysis of the GHS Weil Descent Attack on the ECDLP over Characteristic Two Finite Fields of Composite Degree
In this paper, the authors analyze the Gaudry–Hess–Smart (GHS) Weil descent attack on the elliptic curve discrete logarithm problem (ECDLP) for elliptic curves defined over c...
Markus Maurer, Alfred Menezes, Edlyn Teske
IEICET
2006
73views more  IEICET 2006»
13 years 4 months ago
A Weil Descent Attack against Elliptic Curve Cryptosystems over Quartic Extension Fields
Seigo Arita, Kazuto Matsuo, Koh-ichi Nagao, Mahoro...
EUROCRYPT
2001
Springer
13 years 9 months ago
How Secure Are Elliptic Curves over Composite Extension Fields?
We compare the method of Weil descent for solving the ECDLP, over extensions fields of composite degree in characteristic two, against the standard method of parallelised Pollard ...
Nigel P. Smart
EUROCRYPT
2003
Springer
13 years 10 months ago
The GHS Attack Revisited
Abstract. We generalize the Weil descent construction of the GHS attack to arbitrary Artin-Schreier extensions. We give a formula for the characteristic polynomial of Frobenius of ...
Florian Hess