Paper 1996/013 Original: eprint.iacr.org/1996/013 ↗

On the Contrast in Visual Cryptography Schemes

Carlo Blundo
Alfredo De Santis
Douglas R. Stinson
Abstract

A visual cryptography scheme is a method to encode a secret image SI into shadow images called shares such that certain qualified subsets of shares enable the ``visual'' recovery of the secret image. The ``visual'' recovery consists of xeroxing the shares onto transparencies, and then stacking them. The shares of a qualified set will reveal the secret image without any cryptographic computation. In this paper we analyze the contrast of the reconstructed image in k out of n visual cryptography schemes. (In such a scheme any k shares will reveal the image, but no set of k-1 shares gives any information about the image.) In the case of 2 out of n threshold schemes we give a complete characterization of schemes having optimal contrast and minimum pixel expansion in terms of certain balanced incomplete block designs. In the case of k out of n threshold schemes with k>2 we obtain upper and lower bounds on the optimal contrast.

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Available format(s)
PDF
Publication info
Preprint.
History
1996-09-25: last updated
1996-09-25: published
Short URL
https://ia.cr/1996/013
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:1996/013,
      author = {Carlo Blundo and Alfredo De Santis and Douglas R.  Stinson},
      title = {On the Contrast in Visual Cryptography Schemes},
      howpublished = {Cryptology {ePrint} Archive, Paper 1996/013},
      year = {1996},
      url = {https://eprint.iacr.org/1996/013}
}
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