Paper 2010/542 Original: eprint.iacr.org/2010/542 ↗
Squaring in cyclotomic subgroups
Abstract
We propose new squaring formulae for cyclotomic subgroups of certain finite fields. Our formulae use a compressed representation of elements having the property that decompression can be performed at a very low cost. The squaring formulae lead to new exponentiation algorithms in cyclotomic subgroups which outperform the fastest previously-known exponentiation algorithms when the exponent has low Hamming weight. Our algorithms can be adapted to accelerate the final exponentiation step of pairing computations.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2010-10-25: last updated
- 2010-10-25: published
- Short URL
- https://ia.cr/2010/542
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2010/542,
author = {Koray Karabina},
title = {Squaring in cyclotomic subgroups},
howpublished = {Cryptology {ePrint} Archive, Paper 2010/542},
year = {2010},
url = {https://eprint.iacr.org/2010/542}
}