Publication: IEICE TRANSACTIONS on Information and Systems Publication Date: 2011/11/01 Vol. E94-DNo. 11pp. 2111-2118 Type of Manuscript: Special Section PAPER (Special Section on Information and Communication System Security) Category: Keyword: ISO/IEC 9796-2 signature,
EMV signature,
CNTW forgery attack,
cost estimation,
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2011/06/01 Vol. E94-ANo. 6pp. 1356-1367 Type of Manuscript: Special Section PAPER (Special Section on Discrete Mathematics and Its Applications) Category: Keyword: twisted Ate pairing,
Miller's algorithm,
Frobenius map,
multi-pairing,
thread computing,
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2009/08/01 Vol. E92-ANo. 8pp. 1859-1867 Type of Manuscript: Special Section PAPER (Special Section on Discrete Mathematics and Its Applications) Category: Theory Keyword: Ate pairing,
Miller's algorithm,
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2009/01/01 Vol. E92-ANo. 1pp. 182-189 Type of Manuscript: Special Section PAPER (Special Section on Cryptography and Information Security) Category: Mathematics Keyword: Ate pairing,
BN curve,
scalar multiplication,
Frobenius mapping,
twisted subfield computation,
