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International Journal of Theoretical Physics (2024) 63:11
https://doi.org/10.1007/s10773-023-05534-2
1 3
RESEARCH
Quantum Designated Multi‑ verifier Signature
LingZhang1· Jia‑HaoZhang1· Xiang‑JunXin1· MinHuang1· Chao‑YangLi1
Received: 22 October 2023 / Accepted: 20 December 2023 / Published online: 9 January 2024
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024
Abstract
A quantum designated multi- verifier signature (QDMVS) scheme is proposed. In this
scheme, the signer can simultaneously designate multiple verifiers to verify the validity
of the signature; the signature’s validity can be verified if and only if all the designated
verifiers involve in the verification process. Moreover, all the verifiers can work together to
generate an indistinguishable signature from the signer, so any third party can not confirm
whether the signer or all the verifiers signed the original message. Security analysis shows
that our QDMVS scheme is resistant to various attacks. On top of that, our scheme does
not need any trusted third party, quantum one- way functions (QOWF), or quantum state
swapping tests (SWAP). Therefore, the proposed QDMVS scheme is more efficient than
similar schemes.
Keywords Designated multi- verifier· Quantum signature· Quantum designated signature
1 Introduction
Digital signature [1] is an important cryptography primitive that can ensure the integrity
and authenticity of the original message. Traditional digital signatures can be seen as the
applications of public key cryptography, i.e., anyone can use the signer’s public key to
verify his/her signatures. However, in some special scenarios, the privacy of the signer is
not well protected with public verification. For example, in e- voting, e- auctions, and fair
exchanges, it is necessary to preserve the privacy of the signer, while the public key digital
signature is unsatisfied, because the verifier can verify the signer’s signature and convince
others to believe that the signer generated the signature.
Fortunately, the designated verifier signature (DVS) was proposed by Jakobsson etal.
in [2], and the DVS can hide the signature’s source to protect the signer’s privacy. In [2],
the designated multi- verifier signature scheme (DMVS) was also discussed. The concept
* Ling Zhang
ll790217@163.com
* Jia-Hao Zhang
1103803372@qq.com
* Min Huang
1652489138@qq.com
1 Zhengzhou University ofLight Industry, Zhengzhou, China
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