WebLondon Mathematical Society ISSN 1461–1570 GENERALISING THE GHSATTACK ON THE ELLIPTIC CURVE DISCRETE LOGARITHM PROBLEM F. HESS Abstract ... Webthe Weil descent attacks are almost never computationally efficient and are slower than other known algorithms for the ECDLP. The remainder of this paper is organized as follows. The GHS attack and its general-ization by Hess are outlined in Section 2. The asymptotic effectiveness of the generalized GHS (gGHS) attack is examined in Section 3.
A classi cation of elliptic curves with respect to the GHS …
WebThe GHS attack uses a techniques known as Weil Descent in an attempt to solve the ECDLP on a given elliptic curve defined over F 2m24. The techniques of Weil Descent … WebWeil descent to elliptic curve cryptosystems. The GHS attack has been then extended and analyzed by many authors [3][10][16][17][18][24][25][26][35][36] and conceptually generalized to the cover attack by Frey and Diem[6]. The GHS attack, in terms of the cover attack, can be described as to map the snow in buffalo this weekend
Extending the GLS endomorphism to speed up GHS Weil descent …
WebAbstractIn 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 characteristic two finite fields of composite extension degree. For each such field F2N, where N is in [100,600], elliptic curve parameters are identified such that ... WebThe GHS 350-900 VSD+ range, generating nominal displacement of up to 900m3/h, incorporates state-of-the-art VSD technology that enables users to precisely adapt their … Webthe ECDLP is the Gaudry-Hess-Smart (GHS) Weil descent attack [9] which, for elliptic curves defined over characteristic-two finite fields Fqn, maps the ECDLP to the discrete logarithm problem (DLP) in the divisor class group of a hyperelliptic curve defined over the subfield Fq of Fqn, and thereafter employs a (hopefully faster) algorithm for snow in buffalo stadium