A Secret Sharing Scheme for Digital Images Based on Cellular Automata and Boolean Functions

  • Authors:
  • Ángel Martín Rey;Gerardo Rodríguez Sánchez

  • Affiliations:
  • Department of Applied Mathematics, E.P.S. de Ávila, Universidad de Salamanca, Ávila, Spain 05003;Department of Applied Mathematics, E.P.S. de Zamora, Universidad de Salamanca, Zamora, Spain 49022

  • Venue:
  • IWANN '09 Proceedings of the 10th International Work-Conference on Artificial Neural Networks: Part I: Bio-Inspired Systems: Computational and Ambient Intelligence
  • Year:
  • 2009

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Abstract

In this paper an efficient probabilistic secret sharing scheme for black and white digital images is introduced. It is an extension of the algorithm proposed originally in [11]. Specifically, it is a (m , n )-threshold scheme. It is based on the use of a simple matrix boolean function which involves the Hadamard matrix product modulo 2, and the addition modulo 2 and m . Moreover, an algorithm based on cellular automata is used for the enhancement of the recovered image. The algorithm introduced is shown to be secure and its expansion factor is equal to 1.