Constructions and Properties of k out of n Visual Secret Sharing Schemes
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The idea of visual k out of n secret sharing schemes was introduced in Naor. Explicit constructions for k = 2 and k = n can be found there. For general k out of n schemes bounds have been described.
Here, two general k out of n constructions are presented. Their parameters are related to those of maximum size arcs or MDS codes. Further, results on the structure of k out of n schemes, such as bounds on their parameters, are obtained. Finally, the notion of coloured visual secret sharing schemes is introduced and a general construction is given.
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- 1.B. Arazi, I. Dinstein and O. Kafri, Intuition, perception, and secure communication, IEEE Transactions on Systems, Man, and Cybernetics, Vol. 19 (1989) pp. 1016–1020.Google Scholar
- 2.F. van der Heijden, Image Based measurement Systems, John Wiley & Sons, Chichester (1994).Google Scholar
- 3.F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, North Holland, Amsterdam etc., 1977.Google Scholar
- 4.M. Naor and A. Shamir, Visual cryptography, Preproceedings of Eurocrypt '94 (1994) pp. 1–11.Google Scholar
- 5.W. K. Pratt, Digital Image Processing, John Wiley & Sons, Chichester (1991).Google Scholar
- 6.W. Rudin, Functional Analysis, MacGraw-Hill Series in Higher Mathematics, MacGraw-Hill, New York (1973).Google Scholar
- 7.L. Storme and J. A. Thas, M. D. S. codes and arcs in P G(n, q) with q even: an improvement of the bounds of Bruen, Thas and Blokhuis, Journal of Combinatorial Theory, Series A, Vol. 62 (1993) pp. 139–154Google Scholar
- 8.J. A. Thas, Projective geometry over a finite field, Chapter 7 in Handbook of Incidence Geometry (F. Buekenhout, ed.), Elsevier Science, Amsterdam (1995).Google Scholar