The patent badge is an abbreviated version of the USPTO patent document. The patent badge does contain a link to the full patent document.
The patent badge is an abbreviated version of the USPTO patent document. The patent badge covers the following: Patent number, Date patent was issued, Date patent was filed, Title of the patent, Applicant, Inventor, Assignee, Attorney firm, Primary examiner, Assistant examiner, CPCs, and Abstract. The patent badge does contain a link to the full patent document (in Adobe Acrobat format, aka pdf). To download or print any patent click here.
Patent No.:
Date of Patent:
Jun. 10, 2014
Filed:
Dec. 09, 2010
Eric Brier, Valence, FR;
Eric Brier, Valence, FR;
Compagnie Industrielle et Financiere d'Ingenierie “Ingenico”, Neuilly sur Seine, FR;
Abstract
A cryptographic method is provided of a type with public key over a non-supersingular elliptic curve E, determined by the simplified Weirstrass equation y=x+a·x+b over a finite field GF(3), with n being an integer greater than or equal to 1. The method includes associating an element t of said finite field with a point P' of the elliptic field. The step of associating includes: obtaining a pre-determined quadratic non-residue η on GF(3); obtaining a pre-determined point P=(z, y) belonging to a conic C defined by the following equation: a·η·z+b =0; obtaining a point Q=(z, y), distinct from the point P belonging to the conic C and a straight line D defined by the following equation: y=t·z+y−t·z; obtaining the element ξ of GF(3) verifying the following linear equation over GF(3):−η·ξ=(η·z)/a; and associating, with the element t of the finite field, the point P′ of the elliptic curve, for which the coordinates are defined by the pair (η·z/ξ, y).