Paper 2026/1311

The Relative Trace-Zero Subgroup of the Barreto-Naehrig Curves

Julius Zhang, Courant Institute of Mathematical Sciences, New York University, LayerZero Labs
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.
Keywords
Barreto-Naehrig curvespairing-friendly elliptic curvestrace-zero subgroup
Contact author(s)
hz2166 @ nyu edu
History
2026-06-25: approved
2026-06-23: received
See all versions
Short URL
https://ia.cr/2026/1311
License
Creative Commons Attribution
CC BY

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}
}
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