Abstract
The paper proposes efficient solutions to two long standing open problems related to secret sharing schemes in multilevel (or hierarchical) and compartmented access structures. The secret sharing scheme in multilevel access structures uses a sequence of related Shamir threshold schemes with overlapping shares and the secret. The secret sharing scheme in compartmented access structures applies Shamir schemes first to recover partial secrets and second to combine them into the requested secret. Both schemes described in the paper are ideal and perfect.
Support for this project was provided in part by the Australian Research Council under the reference number A49530480.
Preview
Unable to display preview. Download preview PDF.
References
G. Blakley, “Safeguarding cryptographic keys,” in Proceedings of AFIPS 1979 National Computer Conference, vol. 48, pp. 313–317, 1979.
E. Brickell, “Some Ideal Secret Sharing Schemes,” in Advances in Cryptology — Proceedings of EUROCRYPT '89 (J.-J. Quisquater and J. Vandewalle, eds.), vol. 434 of Lecture Notes in Computer Science, pp. 468–475, Springer-Verlag, 1990.
M. Ito, A. Saito, and T. Nishizeki, “Secret Sharing Scheme Realizing General Access Structure,” in Proceedings IEEE Global Telecommun. Conf., Globecom '87, Washington, pp. 99–102, IEEE Communications Soc. Press, 1987.
S. Kothari, “Generalized Linear Threshold Scheme,” in Advances in Cryptology — Proceedings of CRYPTO '84 (G. Blakley and D. Chaum, eds.), vol. 196 of Lecture Notes in Computer Science, pp. 231–241, Springer-Verlag, 1985.
A. Shamir, “How to Share a Secret,” Communications of the ACM, vol. 22, pp. 612–613, Nov. 1979.
G. Simmons, “How to (Really) Share a Secret,” in Advances in Cryptology — Proceedings of CRYPTO '88 (S. Goldwasser, ed.), vol. 403 of Lecture Notes in Computer Science, pp. 390–448, Springer-Verlag, 1990.
D. Stinson, “An Explication of Secret Sharing Schemes,” Designs, Codes and Cryptography, vol. 2, pp. 357–390, 1992.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1998 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ghodosi, H., Pieprzyk, J., Safavi-Naini, R. (1998). Secret sharing in multilevel and compartmented groups. In: Boyd, C., Dawson, E. (eds) Information Security and Privacy. ACISP 1998. Lecture Notes in Computer Science, vol 1438. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0053748
Download citation
DOI: https://doi.org/10.1007/BFb0053748
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-64732-4
Online ISBN: 978-3-540-69101-3
eBook Packages: Springer Book Archive