Conjunctive Hierarchical Multi-Secret Sharing Scheme using Elliptic Curves

Mohan Chintamani (), Prabal Paul () and Laba Sa ()
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Mohan Chintamani: University of Hyderabad
Prabal Paul: K K Birla Goa Campus
Laba Sa: University of Hyderabad

Indian Journal of Pure and Applied Mathematics, 2024, vol. 55, issue 4, 1456-1464

Abstract: Abstract A method in which a secret is distributed among the users and a predefined number of users collaborate to reconstruct the secret is known as a secret sharing scheme. In this article, we have proposed a conjunctive hierarchical multi-secret sharing scheme using elliptic curves and bilinear pairings. The motivation for utilizing bilinear pairing of elliptic curves is to provide a similar level of security as in many existing schemes while employing a smaller key size. The proposed scheme is efficient and verifiable. The computational cost of the scheme is determined. We have also given an explicit example of the proposed scheme.

Keywords: Elliptic curves; Bilinear pairings; Secret sharing; Hierarchical access structures; 11T71; 94A60 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13226-023-00450-x

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