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Constructing perfect steganographic systems

Boris Ryabko 1 Daniil Ryabko 2
2 SEQUEL - Sequential Learning
LIFL - Laboratoire d'Informatique Fondamentale de Lille, Inria Lille - Nord Europe, LAGIS - Laboratoire d'Automatique, Génie Informatique et Signal
Abstract : We propose steganographic systems for the case when covertexts (containers) are generated by a finite-memory source with possibly unknown statistics. The probability distributions of covertexts with and without hidden information are the same; this means that the proposed stegosystems are perfectly secure, i.e. an observer cannot determine whether hidden information is being transmitted. The speed of transmission of hidden information can be made arbitrary close to the theoretical limit — the Shannon entropy of the source of covertexts. An interesting feature of the suggested stegosystems is that they do not require any (secret or public) key. At the same time, we outline some principled computational limitations on steganography. We show that there are such sources of covertexts, that any stegosystem that has linear (in the length of the covertext) speed of transmission of hidden text must have an exponential Kolmogorov complexity. This shows, in particular, that some assumptions on the sources of covertext are necessary.
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https://hal.inria.fr/hal-00639479
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Submitted on : Wednesday, November 9, 2011 - 12:17:14 PM
Last modification on : Saturday, December 18, 2021 - 3:02:27 AM

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Boris Ryabko, Daniil Ryabko. Constructing perfect steganographic systems. Information and Computation, Elsevier, 2011, 209 (9), pp.1223-1230. ⟨10.1016/j.ic.2011.06.004⟩. ⟨hal-00639479⟩

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