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Paper 2009/565
Faster Squaring in the Cyclotomic Subgroup of Sixth Degree Extensions
Robert Granger and 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.
Metadata
- Available format(s)
- Category
- Implementation
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- Pairing-based cryptographytorus-based cryptographyfinite field arithmetic.
- Contact author(s)
- rgranger @ computing dcu ie
- History
- 2009-11-23: received
- Short URL
- https://ia.cr/2009/565
- License
-
CC BY