The square root law of steganographic capacity for Markov covers

Tomáš Filler; Andrew D. Ker; Jessica Fridrich

doi:10.1117/12.805911

4 February 2009 The square root law of steganographic capacity for Markov covers

Tomáš Filler, Andrew D. Ker, Jessica Fridrich

Author Affiliations +

Proceedings Volume 7254, Media Forensics and Security; 725408 (2009) https://doi.org/10.1117/12.805911
Event: IS&T/SPIE Electronic Imaging, 2009, San Jose, California, United States

Abstract

It is a well-established result that steganographic capacity of perfectly secure stegosystems grows linearly with the number of cover elements-secure steganography has a positive rate. In practice, however, neither the Warden nor the Steganographer has perfect knowledge of the cover source and thus it is unlikely that perfectly secure stegosystems for complex covers, such as digital media, will ever be constructed. This justifies study of secure capacity of imperfect stegosystems. Recent theoretical results from batch steganography, supported by experiments with blind steganalyzers, point to an emerging paradigm: whether steganography is performed in a large batch of cover objects or a single large object, there is a wide range of practical situations in which secure capacity rate is vanishing. In particular, the absolute size of secure payload appears to only grow with the square root of the cover size. In this paper, we study the square root law of steganographic capacity and give a formal proof of this law for imperfect stegosystems, assuming that the cover source is a stationary Markov chain and the embedding changes are mutually independent.

Citation Download Citation

Tomáš Filler, Andrew D. Ker, and Jessica Fridrich "The square root law of steganographic capacity for Markov covers", Proc. SPIE 7254, Media Forensics and Security, 725408 (4 February 2009); https://doi.org/10.1117/12.805911

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

;

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE