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:
Feb. 21, 2006
Filed:
Jan. 14, 2000
Tetsuya Tamura, Yamato, JP;
Tetsuya Tamura, Yamato, JP;
International Business Machines Corporation, Armonk, NY (US);
Abstract
To implement an operation in Jacobian with improved computation complexity, the sum is computed of a divisor D=g.c.d. (a(x),y−b(x)) and a divisor D=g.c.d. (a(x),y−b(x)) on Jacobian of a hyperelliptic curve y+y=f(x) defined over GF(2) by: storing a(x), a(x), b(x) and b(x); and calculating q(x)=s(b(x)+b(x)) mod a(x) by using s(x) in s(x)a(x)+s(x)a(x)=1 in case of GCD(a(x),a(x))=1 where GCD denotes a greatest common polynomial. Thus, a new function q(x) is provided so as to reduce the entire computational complexity and the hardware size. Moreover, in the case of D=D, a(x) and b(x) is stored; and q(x)=Q(b(x)+f(x) mod a(x), a(x)) where Q(A,B) is a quotient of A/B is calculated.