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Naoki OGURA

A Note on the Pairing Computation Using Normalized Miller Functions Naoki OGURA Shigenori UCHIYAMA Naoki KANAYAMA Eiji OKAMOTO
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2012/01/01 Vol. E95-A No. 1 pp. 196-203 Type of Manuscript: Special Section PAPER (Special Section on Cryptography and Information Security) Category: Mathematics Keyword: pairing, Miller's algorithm, rational functions, normalization,
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On Patarin's Attack against the IC Scheme Naoki OGURA Shigenori UCHIYAMA
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2010/01/01 Vol. E93-A No. 1 pp. 34-41 Type of Manuscript: Special Section PAPER (Special Section on Cryptography and Information Security) Category: Public Key Cryptography Keyword: multivariate public key cryptosystem, -Invertible Cycles (IC), Patarin's attack, Grobner basis algorithm, differential,
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