Paper 2026/1311 Original: eprint.iacr.org/2026/1311 ↗
The Relative Trace-Zero Subgroup of the Barreto-Naehrig Curves
Abstract
We prove a folklore characterization of the BN pairing subgroup as the kernel of a relative trace map on the $n$-torsion points.
Metadata
- Available format(s)
PDF- Category
- Cryptographic protocols
- Publication info
- Preprint.
- History
- 2026-06-23: last updated
- 2026-06-23: published
- Short URL
- https://ia.cr/2026/1311
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2026/1311,
author = {Julius Zhang},
title = {The Relative Trace-Zero Subgroup of the Barreto-Naehrig Curves},
howpublished = {Cryptology {ePrint} Archive, Paper 2026/1311},
year = {2026},
url = {https://eprint.iacr.org/2026/1311}
}