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Paper 2010/525

Torus-based compression by factor 4 and 6

Koray Karabina

Abstract

We extend the torus-based compression technique for cyclotomic subgroups and show how the elements of certain subgroups in characteristic two and three fields can be compressed by a factor of 4 and 6, respectively. Our compression and decompression functions can be computed at a negligible cost. In particular, our techniques lead to very efficient exponentiation algorithms that work with the compressed representations of elements and can be easily incorporated into pairing-based protocols that require exponentiations or products of pairings.

Metadata
Available format(s)
PDF PS
Publication info
Published elsewhere. Unknown where it was published
Keywords
Cyclotomic subgroupstorus-based compressionexponentiationpairing-based cryptography
Contact author(s)
kkarabin @ uwaterloo ca
History
2010-10-20: revised
2010-10-19: received
See all versions
Short URL
https://ia.cr/2010/525
License
Creative Commons Attribution
CC BY
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