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Journal of Discrete Mathematical Sciences and Cryptography cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
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Open Access Research Article

Probabilistic analysis of threshold cryptography for cloud storage

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* Corresponding author · click or hover a name for details

pp. 3777–3790Vol. 29Issue 10-AOctober 2026DOI: 10.47974/JDMSC-3008 Crossmark XML
Received:
01 Apr 2026
Published Online:
31 Oct 2026
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-3008
Pages:
3777–3790

Abstract

Threshold cryptography provides a more secure method of ensuring the cloud storage, through sharing cryptographic keys with a number of participants, none of whom can have the system compromised. The paper is a probabilistic analysis of threshold-based schemes to assess the reliability, security resilience and fault tolerance of these schemes in the presence of different adversarial conditions. The framework suggested describes the important reconstruction probability, share compromise probability, and availability of the system in stochastic distribution and in the form of combinatorics. Using parameters like threshold value, node failure rate, and the strength of adversary, the study illustrates that optimal choice of threshold value contributes much in data confidentiality and at the same time, accessibility. Experimental assessment shows enhanced resistance to partial breaches, and minimized the risk of key exposure as compared to centralized models. The results present a mathematically based basis of constructing safe, scalable and fault-tolerant cloud-based storage systems with the help of threshold cryptography.

Keywords

Subject Classifications

14G5068M25

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