scholarly journals An Improvement of Twisted Ate Pairing with Barreto-Naehrig Curve by using Frobenius Mapping

10.5772/9635 ◽  
2010 ◽  
Author(s):  
Yumi Sakemi ◽  
Hidehiro Kato ◽  
Yasuyuki Nogami ◽  
Yoshitaka Morikaw
Keyword(s):  
Ate Pairing

Integer Variable χ-Based Cross Twisted Ate Pairing and Its Optimization for Barreto-Naehrig Curve

2009 ◽  
Vol E92-A (8) ◽  
pp. 1859-1867 ◽  
Author(s):  
Yasuyuki NOGAMI ◽  
Yumi SAKEMI ◽  
Hidehiro KATO ◽  
Masataka AKANE ◽  
Yoshitaka MORIKAWA
Keyword(s):  
Integer Variable ◽  
Ate Pairing

Faster Ate pairing computation on Selmer's model of elliptic curves

2016 ◽  
Vol 8 (1) ◽  
Author(s):  
Emmanuel Fouotsa ◽  
Abdoul Aziz Ciss
Keyword(s):  
Elliptic Curve ◽  
Elliptic Curves ◽  
Ate Pairing ◽  
Pairing Computation

AbstractThis paper revisits the computation of pairings on a model of elliptic curve called Selmer curves. We extend the work of Zhang, Wang, Wang and Ye

Two Improvements of Twisted Ate Pairing with Barreto-Naehrig Curve by Dividing Miller's Algorithm

2010 ◽  
Vol 2 (4) ◽  
pp. 1-13
Author(s):  
Yumi Sakemi ◽  
Hidehiro Kato ◽  
Shoichi Takeuchi ◽  
Yasuyuki Nogami ◽  
Yoshitaka Morikawa
Keyword(s):  
Ate Pairing ◽  
Miller’S Algorithm

A note on the Ate pairing

2008 ◽  
Vol 7 (6) ◽  
pp. 379-382 ◽  
Author(s):  
Chang-An Zhao ◽  
Fangguo Zhang ◽  
Jiwu Huang
Keyword(s):  
Ate Pairing

scholarly journals The optimal ate pairing over the Barreto-Naehrig curve via parallelizing elliptic nets

JSIAM Letters ◽  
2016 ◽  
Vol 8 (0) ◽  
pp. 9-12 ◽  
Author(s):  
Hiroshi Onuki ◽  
Tadanori Teruya ◽  
Naoki Kanayama ◽  
Shigenori Uchiyama
Keyword(s):  
Ate Pairing ◽  
Elliptic Nets
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