A Proactive Multi Stage Secret Sharing Scheme for Any Given Access Structure

Dehkordi, Massoud Hadian; Mashhadi, Samaneh; Oraei, Hossein

doi:10.1007/s11277-018-6032-7

Cited by 11 publications

(4 citation statements)

References 15 publications

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“…Figure 4 shows the secret-reconstruction process of MSSS. In the MSSS [57,59], secrets have different attributes and importance levels, which requires that any authorized subset of participants can only reconstruct one of the secrets in each stage. If the reconstructed secret does not reveal any other secret information when multiple secrets are reconstructed, then the MSS is called an MSSS.…”

Section: Overview Of Mssmentioning

confidence: 99%

Lattice-Based Threshold Secret Sharing Scheme and Its Applications: A Survey

Chen,

Deng,

et al. 2024

Electronics

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As the most popular cryptographic scheme in the post-quantum field, lattices have received extensive attention and research. Not only do they provide quantum-resistant security, they also enable the construction of complex applications. Currently, lattice cryptography schemes based on different difficult problems have been applied in different fields. The threshold secret sharing (TSS) scheme is an important field of cryptography and has important application value and development prospects in key protection, secure multi-party computation, privacy protection, etc. However, with the rapid development of quantum computing, many existing cryptography-underlying technologies are facing huge difficulties and challenges. Therefore, post-quantum TSS has important research significance and value for the future development of cryptography. In this paper, we summarize the existing secret sharing schemes based on lattice-hard problems and the relevant applications of these schemes in the post-quantum realm. We classify existing lattice-based TSS according to different functions and introduce typical solutions. To the best of our knowledge, this is the first review paper on lattice-based TSS schemes.

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Section: Overview Of Mssmentioning

confidence: 99%

Lattice-Based Threshold Secret Sharing Scheme and Its Applications: A Survey

Chen,

Deng,

et al. 2024

Electronics

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“…To share multiple secrets among participants, a dealer employs a multi‐secret sharing

( {{\mathrm{MSS}}} )

scheme [14–22].

{\mathrm{MSS}}

schemes can be categorized into two types based on secret reconstruction: multi‐stage secret sharing

( {{\mathrm{MSSS}}} )

and general MSS

( {{\mathrm{GMSS}}} )

.…”

Section: Introductionmentioning

confidence: 99%

“…Depending on the specific situation, one category may be preferred over the other. In a

{\mathrm{GMSS}}

scheme [17, 20, 21], all secrets are reconstructed simultaneously in one stage, whereas in a

{\mathrm{MSSS}}

scheme [15, 16, 22], the secrets have different levels of importance and authorized subsets of participants can recover only one secret in each stage. These categories provide options for selecting the appropriate

{\mathrm{MSS}}

scheme based on the specific requirements of the situation.…”

Section: Introductionmentioning

confidence: 99%

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LWE‐based verifiable essential secret image sharing scheme ((t,s,k,n)$( {t,s,k,n} )$ ‐ VESIS)

Dehkordi,

Farahi,

Mashhadi

2023

IET Image Processing

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In traditional secret image sharing schemes, shareholders have similar situations, and to recover the secret image, they must be present as many as the threshold. However, in scenarios where the shareholders occupy different positions, essential and non‐essential, the use of essential secret image sharing schemes becomes necessary. This article presents a novel verifiable essential secret image sharing scheme based on LWEs that incorporates Bloom filters and hash functions for verification purposes. The proposed scheme for a secret image does not require any pre‐processing. The shadow images of both essential and non‐essential shareholders are of the same size, eliminating the need for concatenating sub‐shadows. Furthermore, shadow images for essential and non‐essential shareholders are produced simultaneously in a single step. The scheme is also quantum safe thanks to the use of quantum‐resistant primitives. The experimental results confirm the security and efficiency of the proposed scheme.

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An Efficient Proactive Secret Sharing Scheme for Cloud Storage

Zhang

Pei

et al. 2021

Lecture Notes in Computer Science

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A Proactive Multi Stage Secret Sharing Scheme for Any Given Access Structure

Cited by 11 publications

References 15 publications

Lattice-Based Threshold Secret Sharing Scheme and Its Applications: A Survey

Lattice-Based Threshold Secret Sharing Scheme and Its Applications: A Survey

LWE‐based verifiable essential secret image sharing scheme ((t,s,k,n)$( {t,s,k,n} )$ ‐ VESIS)

An Efficient Proactive Secret Sharing Scheme for Cloud Storage

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