### Supersingular Isogeny-Based Ring Signature

Maryam Sheikhi Garjan, N. Gamze Orhon Kılıç, and Murat Cenk

##### Abstract

A ring signature is a digital signature scheme that allows identifying a group of possible signers without revealing the identity of the actual signer. In this paper, we first present a post-quantum sigma protocol for a ring that relies on the supersingular isogeny-based interactive zero-knowledge identification scheme proposed by De Feo, Jao, and Plût in 2014. Then, we construct a ring signature from the proposed sigma protocol for a ring by applying the Fiat-Shamir transform. In order to reduce the size of exchanges, we use Merkle trees and show that the signature size increases logarithmically in the size of the ring. The security proofs and complexity analyses of the proposed protocols are also provided.

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Available format(s)
Category
Public-key cryptography
Publication info
Preprint. Minor revision.
Keywords
Post-quantum cryptographySupersingular isogenyRing signatures.
Contact author(s)
gamze kilic @ metu edu tr
mcenk @ metu edu tr
sheikhi math @ gmail com
History
2022-04-29: last of 2 revisions
See all versions
Short URL
https://ia.cr/2021/1318

CC BY

BibTeX

@misc{cryptoeprint:2021/1318,
author = {Maryam Sheikhi Garjan and N.  Gamze Orhon Kılıç and Murat Cenk},
title = {Supersingular Isogeny-Based Ring Signature},
howpublished = {Cryptology ePrint Archive, Paper 2021/1318},
year = {2021},
note = {\url{https://eprint.iacr.org/2021/1318}},
url = {https://eprint.iacr.org/2021/1318}
}

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