The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
On secret sharing systems
Abstract
A "secret sharing system" permits a secret to be shared amongntrustees in such a way that anykof them can recover the secret, but anyk-1have complete uncertainty about it. A linear coding scheme for secret sharing is exhibited which subsumes the polynomial interpolation method proposed by Shamir and can also be viewed as a deterministic version of Blakley's probabilistic method. Bounds on the maximum value ofnfor a givenkand secret size are derived for any system, linear or nonlinear. The proposed scheme achieves the lower bound which, for practical purposes, differs insignificantly from the upper bound. The scheme may be extended to protect several secrets. Methods to protect against deliberate tampering by any of the trustees are also presented.
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Citations
Cites
Shamir, A. (1979) · Communications of the ACM · doi:10.1145/359168.359176 · Cited by 13,756
Cited by
Handbook of applied cryptography
(1997) · Choice Reviews Online · doi:10.5860/choice.34-4512 · Cited by 10,357
Secure Multiparty Computation and Secret Sharing
Cramer, R., Damgård, I. B., & Nielsen, J. B. (2015) · doi:10.1017/cbo9781107337756 · Cited by 595
Trustworthy AI: From Principles to Practices
Li, B., Qi, P., Liu, B., Di, S., Liu, J., Pei, J., Yi, J., & Zhou, B. (2023) · ACM Computing Surveys · doi:10.1145/3555803 · Cited by 612
“For the multi-party condition, secret sharing is one of the generic frameworks [181].”
BackgroundAn explication of secret sharing schemes
Stinson, D. R. (1992) · Designs, Codes and Cryptography · doi:10.1007/bf00125203 · Cited by 396
Metadata
- Authors
- Karnin, E., Greene, J., & Hellman, M.
- Venue
- IEEE Transactions on Information Theory
- Published
- 1983-01
- Volume
- 29
- Issue
- 1
- Pages
- 35-41
- ISSN
- 0018-9448 (ISSN-L)
- 1557-9654
- OpenAlex
- W2159401786
- Cited by
- 630
- References
- 1
- FWCI
- 1.32
- Type
- journal article
- Language
- en
- Open access
- closed
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- Karnin, E., Greene, J., & Hellman, M. (1983). On secret sharing systems. IEEE Transactions on Information Theory. https://doi.org/10.1109/tit.1983.1056621
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