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2004•International Journal of Foundations of Computer ScienceRequires access

Several Generalizations of Shamir's Secret Sharing Scheme

Chun-Pong Lai, Cunsheng Ding

Open publisher page 28 citations

Abstract

A secret sharing scheme is a system designed to share a piece of information or the secret among a group of people such that only authorized people can reconstruct the secret from their shares. Since Blakley and Shamir proposed threshold secret sharing schemes in 1979 independently, many secret sharing schemes have been constructed. In this paper, we present several threshold schemes that are generalizations of Shamir's secret sharing scheme.

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What this paper is about

A secret sharing scheme is a system designed to share a piece of information or the secret among a group of people such that only authorized people can reconstruct the secret from their shares. Since Blakley and Shamir proposed threshold secret sharing schemes in 1979 independently, many secret sharing schemes have been constructed. In this paper, we present several threshold schemes that are generalizations of Shamir's secret sharing scheme.

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OpenAlex reports 28 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A secret sharing scheme is a system designed to share a piece of information or the secret among a group of people such that only authorized people can reconstruct the secret from their shares. Since Blakley and Shamir proposed threshold secret sharing schemes in 1979 independently, many secret sharing schemes have been constructed. In this paper, we present several threshold schemes that are generalizations of Shamir's secret sharing scheme.

Key concepts: Secret sharing, Shamir's Secret Sharing, Verifiable secret sharing, Homomorphic secret sharing, Secure multi-party computation, Scheme (mathematics), Mathematics, Shared secret

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