On (k, n)*-visual cryptography scheme

  • Authors:
  • S. Arumugam;R. Lakshmanan;Atulya K. Nagar

  • Affiliations:
  • National Centre for Advanced Research in Discrete Mathematics (n-CARDMATH), Kalasalingam University, Krishnankoil, India 626 126 and School of Electrical Engineering and Computer Science, The Univ ...;National Centre for Advanced Research in Discrete Mathematics (n-CARDMATH), Kalasalingam University, Krishnankoil, India 626 126;Department of Computer and Mathematical Sciences Centre for Applicable Mathematics and Systems Science (CAMSS), Liverpool Hope University, Liverpool, UK L16 9JD

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 2014

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Abstract

Let P = {1, 2, . . . , n} be a set of elements called participants. In this paper we construct a visual cryptography scheme (VCS) for the strong access structure specified by the set Γ0 of all minimal qualified sets, where $${\Gamma_0=\{S: S\subseteq P, 1\in S}$$ and |S| = k}. Any VCS for this strong access structure is called a (k, n)*-VCS. We also obtain bounds for the optimal pixel expansion and optimal relative contrast for a (k, n)*-VCS.