Keyword : Ate pairing


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 pairingMiller's algorithm
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Fast Ate Pairing Computation of Embedding Degree 12 Using Subfield-Twisted Elliptic Curve
Masataka AKANE Yasuyuki NOGAMI Yoshitaka MORIKAWA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2009/02/01
Vol. E92-A  No. 2 ; pp. 508-516
Type of Manuscript:  PAPER
Category: Cryptography and Information Security
Keyword: 
Ate pairingtwistsubfield arithmetic operationfast computing
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Scalar Multiplication Using Frobenius Expansion over Twisted Elliptic Curve for Ate Pairing Based Cryptography
Yasuyuki NOGAMI Yumi SAKEMI Takumi OKIMOTO Kenta NEKADO Masataka AKANE Yoshitaka MORIKAWA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2009/01/01
Vol. E92-A  No. 1 ; pp. 182-189
Type of Manuscript:  Special Section PAPER (Special Section on Cryptography and Information Security)
Category: Mathematics
Keyword: 
Ate pairingBN curvescalar multiplicationFrobenius mappingtwisted subfield computation
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All Pairings Are in a Group
Chang-An ZHAO Fangguo ZHANG Jiwu HUANG 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2008/10/01
Vol. E91-A  No. 10 ; pp. 3084-3087
Type of Manuscript:  LETTER
Category: Cryptography and Information Security
Keyword: 
pairing-based cryptosystemsR-ate pairingAte pairingelliptic curvesgroup
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