Th�se et publications

Th�se

"Sur quelques tests probabilistes de primalit�", Poitiers 1993. these.ps (1380 Kbytes). these.ps.gz (306 Kbytes).

Appendice de la th�se (programmes Maple) psprimes.mpl (15 Kbytes). psprimes.ps (325 Kbytes).

Publications anciennes

  • "Sur quelques tests probabilistes de primalit�", th�se de l'Universit� de Poitiers, soutenue le 7 D�cembre 1993.
  • "The Rabin-Miller primality test : Composite numbers which pass it". Mathematics of Computation, vol. 64, No 209, jan. 1995, pp. 355-361.
  • "Constructing Carmichael numbers which are strong pseudoprimes to several bases". Journal of Symbolic Computation, vol 20, No 2, Ao�t 1995, pp 151-161.
  • "The Rabin-Monier theorem for Lucas pseudoprimes". Mathematics of Computation, vol.~66, No 218, Avril 1997, pp. 869-881.
  • "Repr�sentation des nombres premiers par les formes quadratiques". Pr�publication qforms-39.ps

    Publications r�centes

  • F. Arnault, T.P. Berger, A. Necer "Feedback with Carry Shift Registers synthesis with the Euclidean algorithm" IEEE Trans. Inform. Theory. To appear
  • F. Arnault, T.P. Berger, A. Necer "A new class of stream ciphers combining LFSR and FCSR architectures" Advances of Cryptology, INDOCRYPT 2002, LNCS 2551, pages 22--33, Springer-Verlag, 2002
  • F. Arnault, T.P. Berger, A. Necer "Feedback with Carry Shift Registers synthesis with the Euclidean algorithm" Proceedings IEEE ISIT 02, page 69, Lausanne, Suisse, July 02.