Paper 2021/1109 Original: eprint.iacr.org/2021/1109 ↗
On Actively Secure Fine-grained Access Structures from Isogeny Assumptions
Abstract
We present an actively secure threshold scheme in the setting of Hard Homogeneous Spaces (HHS) which allows fine-grained access structures. More precisely, we elevate a passively secure isogeny-based threshold scheme to an actively secure setting. We prove the active security and simulatability of our advanced schemes. By characterising the necessary properties, we open our schemes to a significantly wider field of applicable secret sharing schemes. Furthermore, we show that Shamir’s scheme has our generalised properties, and thereby our approach truly represents a less restrictive generalisation.
Metadata
- Available format(s)
PDF- Category
- Applications
- Publication info
- Preprint.
- History
- 2022-09-12: last updated
- 2021-08-31: published
- Short URL
- https://ia.cr/2021/1109
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2021/1109,
author = {Philipp Muth and Fabio Campos},
title = {On Actively Secure Fine-grained Access Structures from Isogeny Assumptions},
howpublished = {Cryptology {ePrint} Archive, Paper 2021/1109},
year = {2021},
url = {https://eprint.iacr.org/2021/1109}
}