Paper 2021/1109

On Actively Secure Fine-grained Access Structures from Isogeny Assumptions

Philipp Muth and Fabio Campos

Abstract

We present an actively secure threshold scheme in the setting of Hard Homogenous Spaces (HHS) which allows fine-grained access structures. More precisely, we elevate a given passively secure isogeny based threshold scheme to an actively secure setting. We prove the active security and simulatability of our advanced schemes. By defining some characterising properties, we are able to expand the range of secret sharing schemes which support the given scheme. 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. MINOR revision.
Keywords
post-quantum cryptographyisogeny-based cryptography
Contact author(s)
muth @ seceng informatik tu-darmstadt de
campos @ sopmac de
History
2021-08-31: revised
2021-08-31: received
See all versions
Short URL
https://ia.cr/2021/1109
License
Creative Commons Attribution
CC BY

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},
      note = {\url{https://eprint.iacr.org/2021/1109}},
      url = {https://eprint.iacr.org/2021/1109}
}
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