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IEICE Trans

Hidehiro KATO

Cyclic Vector Multiplication Algorithm and Existence Probability of Gauss Period Normal Basis
Kenta NEKADO Yasuyuki NOGAMI Hidehiro KATO Yoshitaka MORIKAWA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2011/01/01
Vol. E94-A  No. 1  pp. 172-179
Type of Manuscript:  Special Section PAPER (Special Section on Cryptography and Information Security)
Category: Mathematics
Keyword: 
extension field, Gauss period normal basis, all one polynomial field, cyclic vector multiplication algorithm, 
 Summary | Full Text:PDF
Integer Variable χ-Based Cross Twisted Ate Pairing and Its Optimization for Barreto-Naehrig Curve
Yasuyuki NOGAMI Yumi SAKEMI Hidehiro KATO Masataka AKANE Yoshitaka MORIKAWA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2009/08/01
Vol. E92-A  No. 8  pp. 1859-1867
Type of Manuscript:  Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
Category: Theory
Keyword: 
Ate pairing, Miller's algorithm, 
 Summary | Full Text:PDF
A Multiplication Algorithm in Fpm Such That p>m with a Special Class of Gauss Period Normal Bases
Hidehiro KATO Yasuyuki NOGAMI Tomoki YOSHIDA Yoshitaka MORIKAWA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2009/01/01
Vol. E92-A  No. 1  pp. 173-181
Type of Manuscript:  Special Section PAPER (Special Section on Cryptography and Information Security)
Category: Mathematics
Keyword: 
extension field, public-key cryptography, fast implementation, Gauss period normal bases, optimal normal basis, 
 Summary | Full Text:PDF