H - Electricity – 04 – L
Patent
H - Electricity
04
L
H04L 9/32 (2006.01) H04L 9/28 (2006.01)
Patent
CA 2360954
Proof is established by means of the following parameters: m pairs of private values Qi and public values Gi, m~1, a public module n made of the product of f first factors pj, f~2, a public exponent v, linked to each other by relations of the type: Gi.Qiv= 1 mod n or Gi=Qiv mod n. Said exponent v is such that v=2k where k~1 is a security parameter. Public value Gi is the square gi2 of a base number gi that is lower than f first factors pj, so that the two equations: x2=gi mod n and x2= -gi mod n do not have a solution in x in the ring of the modulo n integers and such that the equation xv=gi2 mod n has solutions in x in the ring of the modulus n integers.
La preuve est établie au moyen des paramètres suivants: m couples de valeurs privées Q¿i? et publiques G¿i?, m~1; un module public n constitué par le produit de f facteurs premiers p¿j?, f~2, un exposant public v, liés par des relations du type: G¿i?.Q¿i??v¿ = 1 mod n ou G¿i?=Q¿i??v¿ mod n. Ledit exposant v est tel que v = 2?k¿ où k~1 est un paramètre de sécurité. Ladite valeur publique G¿i? est le carré g¿i??2¿ d'un nombre de base g¿i? inférieur aux f facteurs premiers p¿j?, tel que les deux équations: x?2¿ = g¿i? mod n et x?2¿ = -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¿ = g¿i??2¿ mod n a des solutions en x dans l'anneau des entiers modulo n.
Guillou Louis
Quisquater Jean-Jacques
France Telecom
Math Rizk
Oyen Wiggs Green & Mutala Llp
Phentam Dire Nv Llc
Telediffusion de France
LandOfFree
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