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.:

US 7440569 B1

PDF
Full Text
Expired
Date of Patent:
Oct. 21, 2008

Filed:

Jul. 28, 2003
Applicants:

Anne Kirsten Eisentraeger, Pasadena, CA (US);

Kristin E. Lauter, Redmond, WA (US);

Peter L. Montgomery, San Rafael, CA (US);

Inventors:

Anne Kirsten Eisentraeger, Pasadena, CA (US);

Kristin E. Lauter, Redmond, WA (US);

Peter L. Montgomery, San Rafael, CA (US);

Assignee:

Microsoft Corporation, Redmond, WA (US);

Attorney:
Primary Examiner:
Int. Cl.
CPC ...
H04L 9/00 (2006.01);
U.S. Cl.
CPC ...
Abstract

Methods and apparati are provided for determining a 'Squared Tate pairing' for hyperelliptic curves and using the results to support at least one cryptographic process. The improved techniques provide increased efficiency and an alternative method to the conventional method of implementing the Tate pairing for Jacobians of hyperelliptic curves. With the Squared Tate pairing for hyperelliptic curves, one may obtain a significant speed-up over a contemporary implementation of the Tate pairing for hyperelliptic curves. The Squared Tate pairing for hyperelliptic curves can be substituted for the Tate pairing for hyperelliptic curves in any applicable cryptographic application.


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Eisentraeger, Anne. (2008). Tate pairing techniques for use with hyperelliptic curves (U.S. Patent No. 7440569). U.S. Patent and Trademark Office. https://idiyas.com/patent/badge/7440569

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