Visual cryptography for general access structures
Information and Computation
A bound on the strong chromatic index of a graph
Journal of Combinatorial Theory Series B
Constructions and Properties of k out of nVisual Secret Sharing Schemes
Designs, Codes and Cryptography
Construction of visual secret sharing schemes with almost optimal contrast
SODA '00 Proceedings of the eleventh annual ACM-SIAM symposium on Discrete algorithms
Contrast-optimal k out of n secret sharing schemes in visual cryptography
Theoretical Computer Science - computing and combinatorics
A New Approach for Visual Cryptography
Designs, Codes and Cryptography
Contrast Optimal Threshold Visual Cryptography Schemes
SIAM Journal on Discrete Mathematics
Visual Cryptography II: Improving the Contrast Via the Cover Base
Proceedings of the International Workshop on Security Protocols
Determining the Optimal Contrast for Secret Sharing Schemes in Visual Cryptography
Combinatorics, Probability and Computing
Visual cryptography schemes with optimal pixel expansion
Theoretical Computer Science
Graph homomorphisms through random walks
Journal of Graph Theory
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In this paper, we investigate the best pixel expansion of various models of visual cryptography schemes. In this regard, we consider visual cryptography schemes introduced by Tzeng and Hu (2002) [13]. In such a model, only minimal qualified sets can recover the secret image and the recovered secret image can be darker or lighter than the background. Blundo et al. (2006) [4] introduced a lower bound for the best pixel expansion of this scheme in terms of minimal qualified sets. We present another lower bound for the best pixel expansion of the scheme. As a corollary, we introduce a lower bound, based on an induced matching of hypergraph of qualified sets, for the best pixel expansion of the aforementioned model and the traditional model of visual cryptography scheme realized by basis matrices. Finally, we study access structures based on graphs and we present an upper bound for the smallest pixel expansion in terms of strong chromatic index.