Patents by Inventor Masataka Akane

Masataka Akane has filed for patents to protect the following inventions. This listing includes patent applications that are pending as well as patents that have already been granted by the United States Patent and Trademark Office (USPTO).

  • Pairing computation device, pairing computation method, and pairing computation program
    Patent number: 8625777
    Abstract: Provided are a pairing computation device, a pairing computation method, and a pairing computation program all of which enable fast pairing computation.
    Type: Grant
    Filed: August 28, 2009
    Date of Patent: January 7, 2014
    Assignee: National University Corporation Okayama University
    Inventors: Yasuyuki Nogami, Masataka Akane, Yumi Sakemi, Yoshitaka Morikawa
  • Pairing computation device, pairing computation method and recording medium recording pairing computation program
    Patent number: 8238550
    Abstract: There is provided a pairing computation device, a pairing computation method and a recording medium recording a pairing computation program all enabling a pairing computation at high speed. In the case where the Ate pairing e(Q,P) is defined as in equation (1) and k is any one of even, a multiple of 3, a multiple of 4, and a multiple of 6, arithmetic operations of a rational function which is required to derive the Miller function fs,Q(P) are performed on the proper subfield specified by a twist curve using a quadratic and cubic non-residue v which becomes 1 when an exponentiation of this fs,Q(P) to the power of (qk?1)/r is performed.
    Type: Grant
    Filed: October 29, 2008
    Date of Patent: August 7, 2012
    Assignee: National University Corporation Okayama University
    Inventors: Masataka Akane, Yasuyuki Nogami, Yoshitaka Morikawa
  • METHOD FOR SCALAR MULTIPLICATION, METHOD FOR EXPONENTIATION, RECORDING MEDIUM RECORDING SCALAR MULTIPLICATION PROGRAM, RECORDING MEDIUM RECORDING EXPONENTIATION PROGRAM
    Publication number: 20110179098
    Abstract: There are provided a computation method for scalar multiplication or exponentiation and a scalar multiplication program or an exponentiation program which can compute at high speed. In the computation method for scalar multiplication and the scalar multiplication program for computing scalar multiplication by n of a rational point Q in G with respect to a non-negative integer n using an electronic computer, since ?q(Q)=[q]Q=[t?1]Q holds true with respect to the rational point Q in G, (t?1)-adic expansion of a scalar n is performed and a Frobenius endomorphism ?q with respect to a rational point is used in place of t?1.
    Type: Application
    Filed: February 25, 2009
    Publication date: July 21, 2011
    Applicant: National University Corporation Ukayama University
    Inventors: Yasuyuki Nogami, Yoshitaka Morikawa, Hidehiro Kato, Masataka Akane
  • PAIRING COMPUTATION DEVICE, PAIRING COMPUTATION METHOD, AND PAIRING COMPUTATION PROGRAM
    Publication number: 20110179471
    Abstract: Provided are a pairing computation device, a pairing computation method, and a pairing computation program all of which enable fast pairing computation.
    Type: Application
    Filed: August 28, 2009
    Publication date: July 21, 2011
    Applicant: National University Corporation Okayama University
    Inventors: Yasuyuki Nogami, Masataka Akane, Yumi Sakemi, Yoshitaka Morikawa
  • PAIRING COMPUTATION DEVICE, PAIRING COMPUTATION METHOD AND RECORDING MEDIUM RECORDING PAIRING COMPUTATION PROGRAM
    Publication number: 20100260333
    Abstract: There is provided a pairing computation device, a pairing computation method and a recording medium recording a pairing computation program all enabling a pairing computation at high speed. In the case where the Ate pairing e(Q,P) is defined as in equation (1) and k is any one of even, a multiple of 3, a multiple of 4, and a multiple of 6, arithmetic operations of a rational function which is required to derive the Miller function fs,Q(P) are performed on the proper subfield specified by a twist curve using a quadratic and cubic non-residue v which becomes 1 when an exponentiation of this fs,Q(P) to the power of (qk?1)/r is performed.
    Type: Application
    Filed: October 29, 2008
    Publication date: October 14, 2010
    Inventors: Masataka Akane, Yasuyuki Nogami, Yoshitaka Morikawa