Paper 2013/146 Original: eprint.iacr.org/2013/146 ↗
High-Performance Scalar Multiplication using 8-Dimensional GLV/GLS Decomposition
Abstract
This paper explores the potential for using genus~2 curves over quadratic extension fields in cryptography, motivated by the fact that they allow for an 8-dimensional scalar decomposition when using a combination of the GLV/GLS algorithms. Besides lowering the number of doublings required in a scalar multiplication, this approach has the advantage of performing arithmetic operations in a 64-bit ground field, making it an attractive candidate for embedded devices. We found cryptographically secure genus 2 curves which, although susceptible to index calculus attacks, aim for the standardized 112-bit security level. Our implementation results on both high-end architectures (Ivy Bridge) and low-end ARM platforms (Cortex-A8) highlight the practical benefits of this approach.
Metadata
- Available format(s)
PDF- Category
- Implementation
- Publication info
- Preprint.
- History
- 2013-03-14: last updated
- 2013-03-14: published
- Short URL
- https://ia.cr/2013/146
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2013/146,
author = {Joppe W. Bos and Craig Costello and Huseyin Hisil and Kristin Lauter},
title = {High-Performance Scalar Multiplication using 8-Dimensional GLV/GLS Decomposition},
howpublished = {Cryptology {ePrint} Archive, Paper 2013/146},
year = {2013},
url = {https://eprint.iacr.org/2013/146}
}