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:
Aug. 19, 2003

Filed:

Oct. 13, 2000
Applicant:
Inventor:

Paul Montague, Highbury, AU;

Assignee:

Motorola, Inc., Schaumburg, IL (US);

Attorney:
Primary Examiner:
Int. Cl.
CPC ...
G06F 7/38 ;
U.S. Cl.
CPC ...
G06F 7/38 ;
Abstract

As part of a process to generate a private key for RSA™ digital signature generation on a smartcard, it is necessary to determine a modular inverse e mod m of a data value e. In order to determine the modular inverse from a data value e and a value of m for the inversion, the value of m mod e is calculated by determining a remainder value r of m divided by e and then an inverse t=r mod e is determined. The modular inverse e mod m is then determined utilising at least the value t by determining a value w=e−t and then determining e mod m by computing (q*w)+1+the integer part of ((w*r)/e).


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