H - Electricity – 04 – L
Patent
H - Electricity
04
L
H04L 9/32 (2006.01) H04L 9/28 (2006.01)
Patent
CA 2360887
The proof is provided by means of the following parameters: a public module n formed by the product of f prime factors pi, f>2; a public superscript v; m base numbers gi, m>1. The base numbers gi are such that the two equations: x<2> gi mod n and x<2> -gi mod n cannot de solved in x in the ring of integers modulo n, and such that the equation x<v> gi<2> mod n can be solved in x in the ring of integers modulo n in the case where the public superscript v is in the form v = 2<k>, wherein k is a security parameter.
La preuve est établie au moyen des paramètres suivants: un module public n constitué par le produit de f facteurs premiers, p i,f > 2, un exposant public v, m nombres de base, g i, m > 1. Les nombres de base g i, sont tels que les deux équations: x2 = g i mod n et x2 = g i mod n n'ont pas de solution en x dans l'anneau des entiers modulo n, et tel que l'équation x v .ident. -g i2 mod n a des solutions en x dans l'anneau des entiers modulo n dans le cas, où l'exposant public v est de la forme v = 2k où k est un paramètre de sécurité.
Guillou Louis
Quisquater Jean-Jacques
France Telecom
Math Rizk
Oyen Wiggs Green & Mutala Llp
Phentam Dire Nv Llc
Telediffusion de France
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