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:
Sep. 04, 2012
Filed:
Jul. 28, 2009
Applicants:
Kristin E. Lauter, La Jolla, CA (US);
Denis X. Charles, Redmond, WA (US);
Inventors:
Kristin E. Lauter, La Jolla, CA (US);
Denis X. Charles, Redmond, WA (US);
Assignee:
Microsoft Corporation, Redmond, WA (US);
Attorney:
Primary Examiner:
Int. Cl.
CPC ...
H04L 9/26 (2006.01); H04L 9/28 (2006.01);
U.S. Cl.
CPC ...
Abstract
Systems and methods for computing modular polynomials modulo large primes are described. In one aspect, the systems and methods generate l-isogenous elliptic curves. A modular polynomial modulo a large prime p is then computed as a function of l-isogenous elliptic curves modulo p. In one aspect, the modular polynomial may be used in a cryptosystem.