Research note: General secret sharing scheme

Authors:
K. J. Tan;H. W. Zhu
Affiliations:
Department of Electronic Engineering in ShangHai Jiao Tong University, ShangHai 200030, People's Republic of China;Department of Electronic Engineering in ShangHai Jiao Tong University, ShangHai 200030, People's Republic of China
Venue:
Computer Communications
Year:
1999

Citing 7
Cited 3

Threshold cryptosystems

CRYPTO '89 Proceedings on Advances in cryptology
An explication of secret sharing schemes

Designs, Codes and Cryptography
The breadth of Shamir's secret-sharing scheme

Computers and Security
How to share a secret

Communications of the ACM
Generalized Secret Sharing and Monotone Functions

CRYPTO '88 Proceedings of the 8th Annual International Cryptology Conference on Advances in Cryptology
On secret sharing systems

IEEE Transactions on Information Theory
A new generalized group-oriented cryptoscheme without trusted centers

IEEE Journal on Selected Areas in Communications

Practical secret sharing scheme realizing generalized adversary structure

Journal of Computer Science and Technology
Weighted Threshold Secret Image Sharing

PSIVT '09 Proceedings of the 3rd Pacific Rim Symposium on Advances in Image and Video Technology
A secret sharing scheme with a short share realizing the (t,n) threshold and the adversary structure

Computers & Mathematics with Applications

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Abstract

Based on the idea in (J. Benaloh, J. Leichter, Generalized secret sharing and monotone functions, in: Advances in Cryptology-CRYPTO'88, Lecture Notes in Computer Science, Springer, Berlin, 1990, pp. 27-35.), a method to realize general secret sharing scheme is given in this research note. It is not necessary for the group participants to store several shares but an interpolating polynomial. However, it suits some extensive situation that there are several secrets shared in system, while the methods in (E. Dawson, D. Donovan, The breadth of shamir's secret sharing scheme. Computers and Security, 13 (1995) 69-78.; J. Benaloh, J. Leichter, Generalized secret sharing and monotone functions, in: Advances in Cryptology-CRYPTO'88, Lecture Notes in Computer Science, Springer, Berlin, 1990, pp. 27-35.;. C.C. Chang, H.C. Lee, A new generalized group-oriented cryptoscheme without trusted centers. IEEE Journal on Selected Areas in Communications, 11(5) (1993) 725-729.) cannot do that.