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:
Apr. 21, 2020
Filed:
Oct. 03, 2019
Isara Corporation, Waterloo, CA;
Victoria de Quehen, Waterloo, CA;
Edward William Eaton, Waterloo, CA;
Gustav Michael Gutoski, Waterloo, CA;
Christopher Leonardi, Waterloo, CA;
ISARA Corporation, Waterloo, CA;
Abstract
In some aspects, a key establishment protocol is executed to generate a shared secret. A first entity calculates a first image curve Erepresenting an image of an elliptic curve E under a first isogeny ϕ; calculates a first pair of elliptic curve points {ϕ(P), ϕ(Q)}; calculates secret integers {c, d}; sends the first image curve Eand the first pair of elliptic curve points {ϕ(P), ϕ(Q)} to a second entity; receives a second image curve Eand a third pair of elliptic curve points {ψ(R), ψ(S)} from the second entity; calculates a third image curve Erepresenting an image of the second image curve Eunder a second isogeny {tilde over (ϕ)}, wherein the second isogeny {tilde over (ϕ)}is identified based on the secret integers {c, d} and the third pair of elliptic curve points {ψ(R), ψ(S)}; and calculates the shared secret based on the third image curve E.