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Analysis of a kind of quantum cryptographic schemes based on secret sharing

Zhang Xing

Recently, Yang et al. proposed a kind of quantum cryptographic schemes based on secret sharing. The main idea is drawn from the case, where any n participants who share a secret K can co-operate as K does. This process can be applied to encryption, authentication, signature and so on. Unfortunately, since there is no identity authentication of the share’s holder, these schemes inherit the limitation of secret sharing in practice. If some participants do not follow the protocol, the protocol would be a failure at last. Moreover, these schemes encounter another serious attack. Any two participants can co-operate to defeat the schemes by sending different shares to the parties unknown to the distributor of the secret K, such that these parties can execute the protocol as well. The attack proves that it is not enough for quantum cryptographic schemes that only the secret key is secure.Recently, Yang et al. proposed a kind of quantum cryptographic schemes based on secret sharing. The main idea is drawn from the case, where any n participants who share a secret K can co-operate as K does. This process can be applied to encryption, authentication, signature and so on. Unfortunately, since there is no identity authentication of the share’s holder, these schemes inherit the limitation of secret sharing in practice. If some participants do not follow the protocol, the protocol would be a failure at last. Moreover, these schemes encounter another serious attack. Any two participants can co-operate to defeat the schemes by sending different shares to the parties unknown to the distributor of the secret K, such that these parties can execute the protocol as well. The attack proves that it is not enough for quantum cryptographic schemes that only the secret key is secure.

Science in China. Series G, Physics, mechanics & astronomy/Science in China. Series G, Physics, Mechanics & AstronomyJan 1, 20090 citations

Cryptanalysis and improvement of multiparty quantum secret sharing schemes

Tian‐Yin Wang, Qiaoyan Wen, Fei Gao +2 more

Physics Letters ANov 14, 200879 citations

Cryptanalysis of dynamic quantum secret sharing

Tian‐Yin Wang, Yanping Li

Quantum Information ProcessingNov 14, 201250 citations

Advance Sharing of Quantum Shares for Quantum Secrets

Mamoru Shibata, Ryutaroh Matsumoto

Secret sharing is a cryptographic scheme to encode a secret to multiple shares being distributed to participants, so that only qualified sets of participants can restore the original secret from their shares. When we encode a secret by a secret sharing scheme and distribute shares, sometimes not all participants are accessible, and it is desirable to distribute shares to those participants before a secret information is determined. Secret sharing schemes for classical secrets have been known to be able to distribute some shares before a given secret. Lie et al. found a ((2, 3))-threshold secret sharing for quantum secrets can distribute some shares before a given secret. However, it is unknown whether distributing some shares before a given secret is possible with other access structures of secret sharing for quantum secrets. We propose a quantum secret sharing scheme for quantum secrets that can distribute some shares before a given secret with other access structures.Secret sharing is a cryptographic scheme to encode a secret to multiple shares being distributed to participants, so that only qualified sets of participants can restore the original secret from their shares. When we encode a secret by a secret sharing scheme and distribute shares, sometimes not all participants are accessible, and it is desirable to distribute shares to those participants before a secret information is determined. Secret sharing schemes for classical secrets have been known to be able to distribute some shares before a given secret. Lie et al. found a ((2, 3))-threshold secret sharing for quantum secrets can distribute some shares before a given secret. However, it is unknown whether distributing some shares before a given secret is possible with other access structures of secret sharing for quantum secrets. We propose a quantum secret sharing scheme for quantum secrets that can distribute some shares before a given secret with other access structures.

arXiv:2302.14448IEICE Transactions on Fundamentals of Electronics Communications and Computer SciencesNov 23, 20234 citations

Quantum Optimal Multiple Assignment Scheme for Realizing General Access Structure of Secret Sharing

Ryutaroh Matsumoto

The multiple assignment scheme is to assign one or more shares to single participant so that any kind of access structure can be realized by classical secret sharing schemes. We propose its quantum version including ramp secret sharing schemes. Then we propose an integer optimization approach to minimize the average share size.

arXiv:1702.00942IEICE Transactions on Fundamentals of Electronics Communications and Computer SciencesJan 1, 20173 citations

New directions in quantum cryptography

Jozef Gruska, Jan Bouda

Jan 1, 20082 citations

Analysis of a kind of quantum cryptographic schemes based on secret sharing

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