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

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

Further refinement of pairing computation based on Miller’s algorithm

2007 ◽  
Vol 189 (1) ◽  
pp. 395-409 ◽  
Author(s):  
Chao-Liang Liu ◽  
Gwoboa Horng ◽  
Te-Yu Chen
Keyword(s):  
Miller’S Algorithm ◽  
Pairing Computation

scholarly journals Isotopy of latin squares in cryptography

2010 ◽  
Vol 45 (1) ◽  
pp. 27-36 ◽  
Author(s):  
Otokar Grošek ◽  
Marek Sýs
Keyword(s):  
Decision Problem ◽  
Latin Squares ◽  
Practical Application ◽  
Zero Knowledge ◽  
Miller’S Algorithm

ABSTRACT We present a new algorithm for a decision problem if two Latin squares are isotopic. Our modification has the same complexity as Miller’s algorithm, but in many practical situations is much faster. Based on our results we study also a zero-knowledge protocol suggested in [3]. From our results it follows that there are some problems in practical application of this protocol.

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

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
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