Welcome to the resource topic for 2009/565
Title:
Faster Squaring in the Cyclotomic Subgroup of Sixth Degree Extensions
Authors: Robert Granger, Michael Scott
Abstract:This paper describes an extremely efficient squaring operation in the so-called `cyclotomic subgroup’ of \F_{q^6}^{\times}, for q \equiv 1 \bmod{6}. This result arises from considering the Weil restriction of scalars of this group from \F_{q^6} to \F_{q^2}, and provides efficiency improvements for both pairing-based and torus-based cryptographic protocols.
ePrint: https://eprint.iacr.org/2009/565
Talk: https://www.youtube.com/watch?v=VaMGgSq9tYQ
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