On the maximality of secret data ratio in CPTE schemes

  • Authors:
  • Trung Huy Phan;Hai Thanh Nguyen

  • Affiliations:
  • Hanoi University of Science and Technology;Ministry of Education and Training

  • Venue:
  • ACIIDS'11 Proceedings of the Third international conference on Intelligent information and database systems - Volume Part I
  • Year:
  • 2011

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Abstract

Based on the ring of integers modulo 2r, Chen-Pan-Tseng (2000) introduced a block-based scheme (CPT scheme) which permits in each block F of size m×n of a given binary image B to embed r =⌊log2(k+1)⌋ secret bits by changing at most two entries of F, where k=mn . As shown, the highest number of embedded secret bits for at most two bits to be changed in each block of k positions of F in any CPT-based schemes is rmax=⌊log2(1+k (k+1)/2)⌋, approximately 2r-1, twice as much as r asymptotically, and this can reached approximately in our CPTE1 scheme by using modules on the ring Z2 of integers modulo 2. A new modified scheme-CPTE2 to control the quality of the embedded blocks, in the same way as Tseng-Pan's method (2001), is established. Approximately, CPTE2 scheme gives 2r-2 embedded bits in F, twice as much as r-1 bits given by Tseng-Pan' scheme, while the quality is the same.