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How to share a secret

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Adi ShamirAuthors Info & Claims

Communications of the ACM, Volume 22, Issue 11

Pages 612 - 613

https://doi.org/10.1145/359168.359176

Published: 01 November 1979 Publication History

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Abstract

In this paper we show how to divide data D into n pieces in such a way that D is easily reconstructable from any k pieces, but even complete knowledge of k - 1 pieces reveals absolutely no information about D. This technique enables the construction of robust key management schemes for cryptographic systems that can function securely and reliably even when misfortunes destroy half the pieces and security breaches expose all but one of the remaining pieces.

References

[1]

Aho, A., Hopcroft, J., and Ullman, J. The Design and Analysis of Computer AIgorithms. Addison-Wesley, Reading, Mass., 1974.

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[2]

Blakley, G.R. Safeguarding cryptographic keys. Proc. AFIPS 1979 NCC, Vol. 48, Arlington, Va., June 1979, pp. 313-317.

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Knuth, D. The Art of Computer Programming, Vol. 2: SeminumericalAlgorithms. Addison-Wesley, Reading, Mass., 1969.

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Liu, C.L. Introduction to Combinatorial Mathematics. McGraw- Hill, New York, 1968.

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Rivest, R., Shamir, A., and Adleman, L. A method for obtaining digital signatures and public-key cryptosystems. Comm. A CM 21, 2 (Feb. 1978), 120-126.

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Chen WChen HHan TTong WZhong S(2025)Secure Two-Party Frequent Itemset Mining With Guaranteeing Differential PrivacyIEEE Transactions on Mobile Computing10.1109/TMC.2024.346474424:1(276-292)Online publication date: Jan-2025
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Banaeian Far SHosseini Bamakan S(2025)Third layer blockchains are being rapidly developed: Addressing state-of-the-art paradigms and future horizonsJournal of Network and Computer Applications10.1016/j.jnca.2024.104044233(104044)Online publication date: Jan-2025
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Wan XLin HWang MShen W(2025)Hierarchical Threshold Multi-Key Fully Homomorphic EncryptionJournal of Information Security and Applications10.1016/j.jisa.2024.10391989(103919)Online publication date: Mar-2025
https://doi.org/10.1016/j.jisa.2024.103919
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Published In

Communications of the ACM Volume 22, Issue 11

Nov. 1979

37 pages

ISSN:0001-0782

EISSN:1557-7317

DOI:10.1145/359168

Editor:
Robert L. Ashenhurst
Univ. of Chicago, Chicago, IL

Issue’s Table of Contents

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

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Publication History

Published: 01 November 1979

Published in CACM Volume 22, Issue 11

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https://doi.org/10.1109/TMC.2024.3464744
Banaeian Far SHosseini Bamakan S(2025)Third layer blockchains are being rapidly developed: Addressing state-of-the-art paradigms and future horizonsJournal of Network and Computer Applications10.1016/j.jnca.2024.104044233(104044)Online publication date: Jan-2025
https://doi.org/10.1016/j.jnca.2024.104044
Wan XLin HWang MShen W(2025)Hierarchical Threshold Multi-Key Fully Homomorphic EncryptionJournal of Information Security and Applications10.1016/j.jisa.2024.10391989(103919)Online publication date: Mar-2025
https://doi.org/10.1016/j.jisa.2024.103919
Roy PKumar PBhattacharya A(2025)ZeroVCS: An efficient authentication protocol without trusted authority for zero-trust vehicular communication systemsFuture Generation Computer Systems10.1016/j.future.2024.107520163(107520)Online publication date: Feb-2025
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Li XWang HMa S(2025)An efficient ciphertext-policy weighted attribute-based encryption with collaborative access for cloud storageComputer Standards & Interfaces10.1016/j.csi.2024.10387291:COnline publication date: 1-Jan-2025
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Liu WYou LShao YShen XHu GShi JGao S(2025)From accuracy to approximation: A survey on approximate homomorphic encryption and its applicationsComputer Science Review10.1016/j.cosrev.2024.10068955(100689)Online publication date: Feb-2025
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References

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Encrypting Keys Securely

Public-Key encryption from ID-Based encryption without one-time signature

Towards the Forgery of a Group Signature without Knowing the Group Center's Secret

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