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...
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...
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 ...
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 ...