Paper 2017/779

Efficient Random Grid Visual Cryptographic Schemes having Essential Members

Bibhas Chandra Das, Md Kutubuddin Sardar, and Avishek Adhikari

Abstract

In this paper we consider ``OR" based monochrome random grid visual cryptographic schemes (RGVCS) for $t$-$(k,n)^*$ access structure which is a generalization of the threshold $(k,n)$ access structure in the sense that in all the successful attempts to recover the secret image, the $t$ essential participants must always be present. Up to the best of our knowledge, the current proposed work is the first in the literature of RGVCS which provides efficient direct constructions for the $t$-$(k,n)^*$-RGVCS for ``OR" based model. Finding the closed form of light contrast is a challenging work. However, in this paper we come up with the closed form of the light contrast for the ``OR" based model. In literature, there are visual cryptographic schemes where the secret reconstruction is done by binary ``XOR" operation instead of ``OR" operation to increase the relative contrast of the decoded image. In this paper, we also propose an extended grid based $t$-$(k,n)^*$-RGVCS in which we replace the traditional ``OR" operation by ``XOR" operation. Note that the use of XOR operation indicates that the decoding must be performed computationally and not visually. We justified our schemes using both experimental as well as simulation based data.

Note: We have updated the results.

Metadata
Available format(s)
PDF
Category
Applications
Publication info
Preprint. MINOR revision.
Keywords
Grid based Visual Cryptography
Contact author(s)
avishek adh @ gmail com
History
2021-02-07: revised
2017-08-16: received
See all versions
Short URL
https://ia.cr/2017/779
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2017/779,
      author = {Bibhas Chandra Das and Md Kutubuddin Sardar and Avishek Adhikari},
      title = {Efficient Random Grid Visual Cryptographic Schemes having Essential Members},
      howpublished = {Cryptology ePrint Archive, Paper 2017/779},
      year = {2017},
      note = {\url{https://eprint.iacr.org/2017/779}},
      url = {https://eprint.iacr.org/2017/779}
}
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