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:
May. 08, 2007

Filed:

Jan. 29, 2002
Applicants:

Robert J. Lambert, Cambridge, CA;

Ashok Vadekar, Rockwood, CA;

Adrian Antipa, Mississauga, CA;

Inventors:

Robert J. Lambert, Cambridge, CA;

Ashok Vadekar, Rockwood, CA;

Adrian Antipa, Mississauga, CA;

Assignee:

Certicom Corp., Mississauga, CA;

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

The applicants have recognized an alternate method of performing modular reduction that admits precomputation. The precomputation is enabled by approximating the inverse of the truncator T, which does not depend on the scalar. The applicants have also recognized that the representation of a scalar in a τ-adic representation may be optimized for each scalar that is needed. The applicants have further recognized that a standard rounding algorithm may be used to perform reduction modulo the truncator. In general terms, there is provided a method of reducing a scalar modulo a truncator, by pre-computing an inverse of the truncator. Each scalar multiplication then utilizes the pre-computed inverse to enable computation of the scalar multiplication without requiring a division by the truncator for each scalar multiplication.


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