论文信息 - Three-level secret sharing schemes from the twisted cubic

Three-level secret sharing schemes from the twisted cubic

Three-level secret sharing schemes arising from the vector space construction over a finite field F are presented. Compared to the previously known schemes, they allow a larger number of participants with respect to the size of F. The key tool is the twisted cubic of PG(3,F).

Rita Vincenti | Massimo Giulietti

[1] Gustavus J. Simmons,et al. How to (Really) Share a Secret , 1988, CRYPTO.

[2] Germán Sáez,et al. New Results on Multipartite Access Structures , 2006, IACR Cryptol. ePrint Arch..

[3] Carles Padró,et al. Ideal Multipartite Secret Sharing Schemes , 2007, Journal of Cryptology.

[4] Carles Padró,et al. Secret Sharing Schemes with Bipartite Access Structure , 1998, EUROCRYPT.

[5] Siaw-Lynn Ng. Ideal secret sharing schemes with multipartite access structures , 2006 .

[6] Adi Shamir,et al. How to share a secret , 1979, CACM.

[7] Albrecht Beutelspacher,et al. On 2-level secret sharing , 1993, Des. Codes Cryptogr..

[8] Keith M. Martin,et al. Geometrical contributions to secret sharing theory , 2004 .

[9] Douglas R. Stinson,et al. Cryptography: Theory and Practice , 1995 .

[10] Nira Dyn,et al. Multipartite Secret Sharing by Bivariate Interpolation , 2008, Journal of Cryptology.

[11] 조위덕. Cryptography , 1987, The Official (ISC)2 SSCP CBK Reference.

[12] Hao Chen,et al. Secure Computation from Random Error Correcting Codes , 2007, EUROCRYPT.

[13] Ernest F. Brickell,et al. Some Ideal Secret Sharing Schemes , 1990, EUROCRYPT.

[14] Tamir Tassa. Hierarchical Threshold Secret Sharing , 2004, TCC.

[15] J. Hirschfeld. Finite projective spaces of three dimensions , 1986 .

[16] Hao Chen,et al. Algebraic Geometric Secret Sharing Schemes and Secure Multi-Party Computations over Small Fields , 2006, CRYPTO.