Secret sharing schemes on access structures with intersection number equal to one

Discrete Applied Mathematics

Volumn 154, Issue 3, 2006, Pages 552-563

  Martí Farré, Jaume ^a   Padró, Carles ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Cryptography; Ideal schemes; Information rate; Secret sharing schemes

Indexed keywords

CRYPTOGRAPHY;

IDEAL SCHEMES; INFORMATION RATE; SECRET SHARING SCHEMES;

SET THEORY;

EID: 32144455532     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dam.2005.09.003     Document Type: Article

References (18)

1. G.R. Blakley Safeguarding cryptographic keys AFIPS Conf. Proc. 48 1979 313 317
2. C. Blundo, A. De Santis, R. De Simone, and U. Vaccaro Tight bounds on the information rate of secret sharing schemes Designs Codes Cryptography 11 1997 107 122
3. C. Blundo, A. De Santis, L. Gargano, U. Vaccaro, On the information rate of secret sharing schemes, Advances in Cryptology CRYPTO'92, Lecture Notes in Computer Science, vol. 740, 1993, pp. 148-167.
4. C. Blundo, A. De Santis, D.R. Stinson, and U. Vaccaro Graph decompositions and secret sharing schemes J. Cryptology 8 1995 39 64
5. E.F. Brickell Some ideal secret sharing schemes J. Combin. Math. Combin. Comput. 6 1989 105 113
6. E.F. Brickell, and D.M. Davenport On the classification of ideal secret sharing schemes J. Cryptology 4 1991 123 134
7. E.F. Brickell, and D.R. Stinson Some improved bounds on the information rate of perfect secret sharing schemes J. Cryptology 5 1992 153 166
8. R.M. Capocelli, A. De Santis, L. Gargano, and U. Vaccaro On the size of shares of secret sharing schemes J. Cryptology 6 1993 157 168
9. P. Dembowski Finite geometries, Classics in Mathematics 1997 Springer Berlin (reprint of the 1968 original)
10. M. Ito, A. Saito, T. Nishizeki, Secret sharing scheme realizing any access structure, Proc. IEEE Globecom'87 (1987) 99-102.
11. W.-A. Jackson, and K.M. Martin Geometric secret sharing schemes and their duals Designs Codes Cryptography 4 1994 83 95
12. W.-A. Jackson, and K.M. Martin Perfect secret sharing schemes on five participants Designs Codes Cryptography 9 1996 267 286
13. J. Martí-Farré, and C. Padró Secret sharing schemes with three or four minimal qualified subsets Designs Codes Cryptography 34 2005 17 34
14. C. Padró, and G. Sáez Secret sharing schemes with bipartite access structure IEEE Trans. Inform. Theory 46 7 2000 2596 2604
15. A. Shamir How to share a secret Comm. ACM 22 1979 612 613
16. J. Simonis, and A. Ashikhmin Almost affine codes Designs Codes Cryptography 14 1998 179 197
17. D.R. Stinson An explication of secret sharing schemes Designs Codes Cryptography 2 1992 357 390
18. D.R. Stinson Decomposition constructions for secret-sharing schemes IEEE Trans. Inform. Theory 40 1994 118 125