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. 16, 2013
Filed:
Apr. 23, 2010
Gen Takahashi, Tokyo, JP;
Tetsutaro Kobayashi, Tokyo, JP;
Kaku Takeuchi, Tokyo, JP;
Nippon Telegraph and Telephone Corporation, Tokyo, JP;
Abstract
A calculation Πe(R(i, 0), . . . , R(i, K−1)) where a calculation of K elements R(i, k)εGF(p) of a finite field GF(p) over a finite field is expressed as e(R(i, 0), . . . , R(i, K−1)) is efficiently performed. Polynomials poly(R(i, 0), . . . , R(i, K−1)) that express a d-th-order extension field of the finite field GF(p), which are obtained by the calculations e(R(i, 0), . . . , R(i, K−1)) for different values of i, are multiplied by each other, and a cumulative multiplication of the products is performed, for example. The polynomial poly(R(i, 0), . . . , R(i, K−1)) is a mapping from the input elements of the finite field GF(p), and the coefficients of at least some of the terms thereof are 0. The same process is performed for different sets of values of i, and the calculation Πe(R(i, 0), . . . , R(i, K−1)) is performed using the result.