Keyword : Frobenius map


An Improvement of Twisted Ate Pairing Efficient for Multi-Pairing and Thread Computing
Yumi SAKEMI Yasuyuki NOGAMI Shoichi TAKEUCHI Yoshitaka MORIKAWA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2011/06/01
Vol. E94-A  No. 6 ; pp. 1356-1367
Type of Manuscript:  Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
Category: 
Keyword: 
twisted Ate pairingMiller's algorithmFrobenius mapmulti-pairingthread computing
 Summary | Full Text:PDF

Fast Computation over Elliptic Curves E(Fqn) Based on Optimal Addition Sequences
Yukio TSURUOKA Kenji KOYAMA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2001/01/01
Vol. E84-A  No. 1 ; pp. 114-119
Type of Manuscript:  Special Section PAPER (Special Section on Cryptography and Information Security)
Category: 
Keyword: 
elliptic curvesscalar multiplicationFrobenius mapaddition chains
 Summary | Full Text:PDF

Base-φ Method for Elliptic Curves over OEF
Tetsutaro KOBAYASHI 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2000/04/25
Vol. E83-A  No. 4 ; pp. 679-686
Type of Manuscript:  Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
Category: 
Keyword: 
elliptic curve cryptosystemscalar multiplicationOEFfinite fieldFrobenius maptable reference method
 Summary | Full Text:PDF