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:
Jul. 02, 2013
Filed:
Apr. 21, 2010
Yasuyuki Nogami, Okayama, JP;
Yumi Sakemi, Okayama, JP;
Hiroaki Nasu, Okayama, JP;
Yoshitaka Morikawa, Okayama, JP;
Yasuyuki Nogami, Okayama, JP;
Yumi Sakemi, Okayama, JP;
Hiroaki Nasu, Okayama, JP;
Yoshitaka Morikawa, Okayama, JP;
National University Corporation Okayama University, Okayama, JP;
Abstract
There is provided a pairing computation device provided with a CPU which computes pairing e(S,Q) with SεG, QεG, χ being a given integer variable, and F being a rational function calculated using Miller's algorithm with respect to multi-pairing (MMA). An order r, a trace t of the Frobenius endomorphism φare specified preliminarily using the integer variable χ according to an embedding degree k. The CPU performs pairing computation by means of: an input unit which inputs the integer variable χ, the rational point S, and the rational point Q into respective predetermined registers; a computation unit which computes F; a computation unit which computes a value at a rational point Q(x, y) of a straight line passing through given rational points; a computation unit which computes f'(Q) using the aforementioned F and the value; and a computation unit which computes the pairing e(S,Q) using aforementioned f′(Q) as [F83]. [F83]()=().
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