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:
Nov. 12, 2002
Filed:
Feb. 23, 1999
Hiroyuki Kurumatani, Yokohama, JP;
Hitachi, Ltd., Tokyo, JP;
Abstract
In encryption techniques using an elliptic curve, in order to use a homogeneous coordinate system [X, Y, Z], a high speed [X , Y , Z , (Z ) , (Z ) ] for the addition and a high speed [X , Y , Z ] for the doubling the following schemes are provided: (1) Addition is executed by [X , Y , Z ]=[X , Y , Z , (Z ) , (Z ) ]+[X , Y , Z ]. (2) Doubling is executed by a conventional [X , Y , Z ]=2[X , Y , Z ] and an addition operation is executed by [X , Y , Z ]=[X , Y , Z , (Z ) , (Z ) ]+[X , Y , Z ]. It is also required to speed up the multiplication modulo operation. The Montgomery multiplication modulo operation is speeded up by using the following forms of the definition order (prime): (3) the multiplication modulo operation is executed at high speed by using a prime having a form of p=Ab +B where 0<A<2 , 0<B<2 , b=2 ; and w, A, b, n and B are positive integers.
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