Suite de LUCAS et Cryptographie

• Autores: André Warusfel
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 46, Fasc. 1-2, 1995 (Ejemplar dedicado a: Professor Paul Dubreil (In memoriam )), págs. 195-216
• Idioma: francés
• Enlaces
  • Texto completo
• Resumen

  • The Lucas sequence is a sort of generalization of ordinary powers, with properties similar in respect of Fermat's theorem. This sequence can be used for cryptographic procedures, in the sense that $v_{n+m} = v_n\circ v_m$ is similar to the usual property $\alpha^{n+m} = \alpha^n\alpha^m$.

• Referencias bibliográficas
  • D.H. Lehmer, An extended theory of Lucas’ functions, Ann. of Math. 31 (1930), 419–448.
  • E. Lucas, Théorie des fonctions numériques simplement périodiques, Amer. J. Math. 1 (1878), 184–240 et 289–321.