IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Special Section on Cryptography and Information Security
A Weil Pairing on a Family of Genus 2 Hyperelliptic Curves with Efficiently Computable Automorphisms
Masahiro ISHIIAtsuo INOMATAKazutoshi FUJIKAWA
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2017 Volume E100.A Issue 1 Pages 62-72

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Abstract

In this paper, we provided a new variant of Weil pairing on a family of genus 2 curves with the efficiently computable automorphism. Our pairing can be considered as a generalization of the omega pairing given by Zhao et al. We also report the algebraic cost estimation of our pairing. We then show that our pairing is more efficient than the variant of Tate pairing with the automorphism given by Fan et al. Furthermore, we show that our pairing is slightly better than the twisted Ate pairing on Kawazoe-Takahashi curve at the 192-bit security level.

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© 2017 The Institute of Electronics, Information and Communication Engineers
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