Visual Secret Sharing Scheme with Distributed Levels of Importance of Shadows

Sabyasachi Dutta, Tamal Bhore, M. Kutubuddin Sardar, Avishek Adhikari, Kouichi Sakurai

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We put forward a construction of visual cryptographic scheme (VCS) to address the scenario, where there are several levels of importance of shadows. Traditional (k, n)-threshold VCS does not distinguish among the shadows—all shadows are of equal importance. Any k of them can recover the secret image whereas less than or equal to k- 1 shadows do not reveal any information about the secret image. We consider the scenario where there are several levels of essential participants (labeled according to their importance) and there must be an agreement across the levels to recover the secret image. This captures the distribution of importance of parties across several levels or compartments. We give a novel construction of visual cryptographic scheme realizing such access structures, where the parties are compartmented into different levels according to their importance. We come up with closed mathematical formulae of pixel expansion and relative contrast. We also consider more efficient probabilistic construction and compare contrasts with several other probabilistic, non-expansible constructions. Numerical evidence shows that our scheme performs better than the available generic constructions.

Original languageEnglish
Title of host publicationProceedings of the Fifth International Conference on Mathematics and Computing - ICMC 2019
EditorsDebasis Giri, Anthony T.S. Ho, S. Ponnusamy, Nai-Wei Lo
PublisherSpringer Science and Business Media Deutschland GmbH
Pages19-32
Number of pages14
ISBN (Print)9789811554100
DOIs
Publication statusPublished - 2021
Event5th International Conference on Mathematics and Computing, ICMC 2019 - Bhubaneswar, India
Duration: Feb 6 2020Feb 9 2020

Publication series

NameAdvances in Intelligent Systems and Computing
Volume1170
ISSN (Print)2194-5357
ISSN (Electronic)2194-5365

Conference

Conference5th International Conference on Mathematics and Computing, ICMC 2019
CountryIndia
CityBhubaneswar
Period2/6/202/9/20

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science(all)

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