Paper 2020/1041 Original: eprint.iacr.org/2020/1041 ↗
Sign in finite fields
Abstract
Often in cryptography one needs to make a consistent choice of square root in a finite field. We show that such a choice is equivalent to providing a reasonable sign function. Then we show that for $\mathbb{F}_{p^k}$ (with odd prime $p \neq 1$ and $k\neq 0$) such a sign function exists if and only if $k$ is odd.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2020-08-28: last updated
- 2020-08-28: published
- Short URL
- https://ia.cr/2020/1041
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2020/1041,
author = {Abraham Westerbaan and Bas Westerbaan},
title = {Sign in finite fields},
howpublished = {Cryptology {ePrint} Archive, Paper 2020/1041},
year = {2020},
url = {https://eprint.iacr.org/2020/1041}
}