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A Construction of a Twisted Ate Pairing on a Family of Kawazoe-Takahashi Curves at 192-bit Security Level and Its Cost Estimate

Masahiro Ishii, Atsuo Inomata, Kazutoshi Fujikawa
2016 Proceedings of the 2nd International Conference on Information Systems Security and Privacy  
In this paper, we show the method to construct optimal pairings over the family of pairing-friendly curves of genus 2 by Kawazoe and Takahashi and offered a twisted version of Ate pairing.  ...  high (192-bit) security level on such curves.  ...  In this paper, we focus on Kawazoe-Takahashi curve (Kawazoe and Takahashi, 2008) of embedding degree 16 for efficient field size at 192-bit security level.  ... 
doi:10.5220/0005742304320439 dblp:conf/icissp/IshiiIF16 fatcat:3zmuja4v55hq5h3gijuxcv5msi

Fast Cryptography in Genus 2

Joppe W. Bos, Craig Costello, Huseyin Hisil, Kristin Lauter
2014 Journal of Cryptology  
On a single core of an Intel Core i7-3520M (Ivy Bridge), our implementation on the Kummer surface breaks the 125 thousand cycle barrier which sets a new software speed record at the 128-bit security level  ...  By studying different modular arithmetic approaches on these curves, we present a range of genus 2 implementations.  ...  on optimizing the GLV routines and extensive comments on this work, Michael Naehrig for proofreading early versions of this paper, and the anonymous Eurocrypt reviewers for their useful comments.  ... 
doi:10.1007/s00145-014-9188-7 fatcat:qvp7ddfhyje7dbxd2rtlwuck2e