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.

Date of Patent:
Nov. 19, 2019

Filed:

Jan. 03, 2017
Applicant:

Nxp B.v., Eindhoven, NL;

Inventor:

Bruce Murray, Hamburg, DE;

Assignee:

NXP B.V., Eindhoven, NL;

Attorney:
Primary Examiner:
Int. Cl.
CPC ...
H04L 29/06 (2006.01); H04L 9/30 (2006.01); G06F 7/72 (2006.01); H04L 9/08 (2006.01); H04L 9/14 (2006.01);
U.S. Cl.
CPC ...
H04L 9/3013 (2013.01); G06F 7/725 (2013.01); H04L 9/0841 (2013.01); H04L 9/0844 (2013.01); H04L 9/14 (2013.01); H04L 9/3066 (2013.01);
Abstract

A method of calculating the x-coordinate(x) of a point mapping in an elliptic curve Diffie-Hellman key exchange protocol (EC-DHKF), wherein the point mapping is defined as sG+H, where sG is a point (x,y) on an elliptic curve and H is a point (x,y) on the elliptic curve, including: computing V=ybased upon the elliptic curve and x; computing W=ybased upon the elliptic curve and x; computing U=sqrt(W·V)mod p, where p is a large prime number; choosing U'=U or U′=p−U such that U′ based upon a characteristic agreed upon by the parties to the EC-DHKF; computing xbased upon V, W, U′, x, x, and p.


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