Browsing Grup de Recerca en Criptografia i Grafs (INSPIRES) by Title

Now showing items 1-6 of 6

    • Algorithms and cryptographic protocols using elliptic curves 

      Miret, Josep M. (Josep Maria); Moreno Chiral, Ramiro; Pujolàs Boix, Jordi; Valls Marsal, Magda (Institut d'Estudis Catalans. Secció de Ciències i Tecnologia, 2007)
      En els darrers anys, la criptografia amb corbes el.líptiques ha adquirit una importància creixent, fins a arribar a formar part en la actualitat de diferents estàndards industrials. Tot i que s'han dissenyat variants amb ...

    • Distorting the volcano 

      Fouquet, Mireille; Miret, Josep M. (Josep Maria); Valera Martín, Javier (Elsevier, 2018)
      Volcanoes of ℓ–isogenies of elliptic curves are a special case of graphs with a cycle called crater. In this paper, given an elliptic curve E of a volcano of ℓ–isogenies, we present a condition over an endomorphism ϕ ...

    • 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 ...

    • Isogeny volcanoes of elliptic curves and sylow subgroups 

      Fouquet, Mireille; Miret, Josep M. (Josep Maria); Valera Martín, Javier (Springer International Publishing Switzerland, 2015)
      Given an ordinary elliptic curve over a finite field located in the floor of its volcano of ℓ-isogenies, we present an efficient procedure to take an ascending path from the floor to the level of stability and back to ...

    • MPI-based implementation of an enhanced algorithm to solve the LPN problem in a memory-constrained environment 

      Teixidó Torrelles, Ivan; Sebé Feixas, Francesc; Conde Colom, Josep; Solsona Tehàs, Francesc (Elsevier, 2014)
      In recent years, several lightweight cryptographic protocols whose security lies in the assumed intractability of the learning parity with noise (LPN) problem have been proposed. The LPN problem has been shown to be ...

    • On the ℓ-adic valuation of the cardinality of elliptic curves over finite extensions of Fq 

      Miret, Josep M. (Josep Maria); Pujolàs Boix, Jordi; Valera Martín, Javier (Springer Verlag, 2015)
      Let E be an elliptic curve defined over a finite field Fq of odd characteristic. Let l≠2 be a prime number different from the characteristic and dividing #E(Fq). We describe how the l-adic valuation of the number of points ...