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Optimised Versions of the Ate and Twisted Ate Pairings

Seiichi MATSUDA, Naoki KANAYAMA, Florian HESS, Eiji OKAMOTO

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Summary :

We observe a natural generalisation of the ate and twisted ate pairings, which allow for performance improvements in non standard applications of pairings to cryptography like composite group orders. We also give a performance comparison of our pairings and the Tate, ate and twisted ate pairings for certain polynomial families based on operation count estimations and on an implementation, showing that our pairings can achieve a speedup of a factor of up to two over the other pairings.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E92-A No.7 pp.1660-1667
Publication Date
2009/07/01
Publicized
Online ISSN
1745-1337
DOI
10.1587/transfun.E92.A.1660
Type of Manuscript
PAPER
Category
Cryptography and Information Security

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