Now showing items 1-2 of 2

    • Exploiting isogeny cordillera structure to obtain cryptographically good elliptic curves 

      Miret, Josep M. (Josep Maria); Tomàs, Rosana; Valls Marsal, Magda; Sadornil Renedo, Daniel; Tena Ayuso, Juan (Australian Computer Society Inc, 2008)
      The security of most elliptic curve cryptosystems is based on the intractability of the Elliptic Curve Discrete Logarithm Problem (ECDLP). Such a problem turns out to be computationally unfeasible when elliptic curves ...
    • Volcanoes of l-isogenies of elliptic curves over finite fields: the case l=3 

      Miret, Josep M. (Josep Maria); Sadornil Renedo, Daniel; Tena Ayuso, Juan; Tomàs Cuñat, Rosa Ana; Valls Marsal, Magda (Universitat Autònoma de Barcelona. Departament de Matemàtiques, 2007)
      This paper is devoted to the study of the volcanoes of l-isogenies of elliptic curves over a finite field, focusing on their height as well as on the location of curves across its different levels. The core of the paper ...