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Workshop on Cryptography

EUROCRYPT 1982: Cryptography pp 371–375Cite as

How to Share a Secret

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 149))

Abstract

We consider the following problem.

  • Let S be some secret. A collection of n people Ej share this secret in such a way that

    • each Ej knows some information xj,

    • for a certain fixed integer k, 2≤k≤n, the knowledge of any k of th x’s enables to find S easily,

    • the knowlegde of less than k of the x’s leaves S undetermined.

This problem was considered first by A. Shamir [79] and he calls such a scheme a (k, n) threshold scheme.

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© 1983 Springer-Verlag Berlin Heidelberg

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Mignotte, M. (1983). How to Share a Secret. In: Beth, T. (eds) Cryptography. EUROCRYPT 1982. Lecture Notes in Computer Science, vol 149. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-39466-4_27

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  • DOI: https://doi.org/10.1007/3-540-39466-4_27

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11993-7

  • Online ISBN: 978-3-540-39466-2

  • eBook Packages: Springer Book Archive

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