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, 
 Summary | Full Text:PDF