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:
Jun. 27, 2006

Filed:

Feb. 05, 2002
Applicant:

Gregory M. Perkins, Pennington, NJ (US);

Inventor:

Gregory M. Perkins, Pennington, NJ (US);

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

A method for calculating the arithmetic inverse of a number V modulo U, where U is a prime number, that may be used in cryptography, uses a modified extended greatest common divisor (GCD) algorithm that includes a plurality of reduction steps and a plurality of inverse calculations. In this algorithm, the values U and V are assigned to respective temporary variables U3 and V3 and initial values are assigned to respective temporary variables U2 and V2. The algorithm then tests a condition and, if the condition tests true, combines multiple ones of the plurality of reduction steps and multiple ones of the inverse calculations into a single iteration of the GCD algorithm.


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