### Commitment Schemes from Supersingular Elliptic Curve Isogeny Graphs

Bruno Sterner

##### Abstract

In this work we present two commitment schemes based on hardness assumptions arising from supersingular elliptic curve isogeny graphs, which possess strong security properties. The first is based on the CGL hash function while the second is based on the SIDH framework, both of which require a trusted third party for the setup phrase. The proofs of security of these protocols depend on properties of non-backtracking random walks on regular graphs. The optimal efficiency of these protocols depends on the size of a certain constant, defined in the paper, related to relevant isogeny graphs, which we give conjectural upper bounds for.

##### Metadata
Available format(s)
Category
Public-key cryptography
Publication info
Published elsewhere. MINOR revision.MathCrypt 2021
Keywords
post-quantum cryptographypublic-key cryptographycommitment schemesisogeny-based cryptographyisogeny graphs
Contact author(s)
b sterner @ surrey ac uk
History
2021-08-16: received
Short URL
https://ia.cr/2021/1031
License

CC BY

BibTeX

@misc{cryptoeprint:2021/1031,
author = {Bruno Sterner},
title = {Commitment Schemes from Supersingular Elliptic Curve Isogeny Graphs},
howpublished = {Cryptology ePrint Archive, Paper 2021/1031},
year = {2021},
note = {\url{https://eprint.iacr.org/2021/1031}},
url = {https://eprint.iacr.org/2021/1031}
}

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