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:
Oct. 18, 2016
Filed:
Nov. 27, 2014
Applicant:
Apple Inc., Cupertino, CA (US);
Inventors:
Moti Teitel, Herzlia Pituach, IL;
Micha Anholt, Herzlia Pituach, IL;
Assignee:
APPLE INC., Cupertino, CA (US);
Attorney:
Primary Examiner:
Int. Cl.
CPC ...
H03M 13/00 (2006.01); H03M 13/15 (2006.01); H04L 9/06 (2006.01);
U.S. Cl.
CPC ...
H03M 13/1505 (2013.01); H04L 9/0643 (2013.01);
Abstract
A method, including factoring an order of a multiplicative group of a Galois Field to produce a first integer factor p and a second integer factor q, wherein the multiplicative group includes (2−1) elements, m a non-negative integer, so that 2−1=pq. The method further includes receiving an element x of the Galois Field expressible as α, where α is a primitive element of the group, i is a first non-negative integer less than p, and j is a second integer less than q. An inverse or a logarithm of the element x is calculated as a function of qi and j.