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:
Jan. 09, 2018
Filed:
Jun. 09, 2016
Morpho, Paris, FR;
Thomas Icart, Paris, FR;
MORPHO, Paris, FR;
Abstract
A cryptographic calculation includes obtaining a point P(X,Y) from a parameter t on an elliptical curve Y=f(X) and from polynomials satisfying: −f(X(t))·f(X(t))=U(t)in the finite body Fq, irrespective of the parameter t, q=3 mod 4. A value of the parameter t is obtained and the point P is determined by: (i) calculating X=X(t), X=X(t) and U=U(t); (ii) testing whether the term f(X−1) is a squared term in the finite body Fq and, if so, calculating the square root of the term f(X1), the point P having Xas abscissa and Y, the square root of the term f(X), as ordinate; (iii) otherwise, calculating the square root of the term f(X), the point P having X, as abscissa and Y, the square root of the term f(X), as ordinate. The point P is useful in encryption, scrambling, signature, authentication or identification cryptographic applications.