Paper 2006/106 Original: eprint.iacr.org/2006/106 ↗
Further Refinement of Pairing Computation Based on Miller's Algorithm
Abstract
In 2006, Blake, Murty and Xu proposed three refinements to Miller's algorithm for computing Weil/Tate Pairings. In this paper we extend their work and propose a generalized algorithm, which integrates their first two algorithms. Our approach is to pre-organize the binary representation of the involved integer to the best cases of Blake's algorithms. Further, our refinement is more suitable for Solinas numbers than theirs. We analyze our algorithm and show that our refinement can perform better than the original algorithms.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2006-03-19: last updated
- 2006-03-19: published
- Short URL
- https://ia.cr/2006/106
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2006/106,
author = {Chao-Liang Liu and Gwoboa Horng and Te-Yu Chen},
title = {Further Refinement of Pairing Computation Based on Miller's Algorithm},
howpublished = {Cryptology {ePrint} Archive, Paper 2006/106},
year = {2006},
url = {https://eprint.iacr.org/2006/106}
}