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Where to Hide the Bits ?

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Decision and Game Theory for Security (GameSec 2012)

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Abstract

We present a stochastic two-player zero-sum game between defender and attacker related to the security of practical steganography. The defender wants to hide a message in a cover object drawn by nature. The attacker wants to distinguish plain covers from those with a hidden message. We study the case of n-bit covers, independently but not identically distributed to allow for variation in the predictability between parts of the cover. The defender knows the predictability exactly and chooses k embedding positions. The attacker may obtain side information to predict one chosen position of the cover and compare it to the observed object to make a decision. We present a unique mixed strategy Nash equilibrium for this game. It turns out that the attacker’s strategy is independent of the number of hidden bits k.

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References

  1. Böhme, R.: Advanced Statistical Steganalysis. Springer (2010)

    Google Scholar 

  2. Cachin, C.: An Information-Theoretic Model for Steganography. In: Aucsmith, D. (ed.) IH 1998. LNCS, vol. 1525, pp. 306–318. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  3. Dalvi, N., Domingos, P., Mausam, Sanghai, S., Verma, D.: Adversarial classification. In: Proceedings of the 10th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 99–108. ACM, New York (2004)

    Google Scholar 

  4. Filler, T., Judas, J., Fridrich, J.J.: Minimizing Embedding Impact in Steganography Using Trellis-coded Quantization. In: Memon, N.D., Dittmann, J., Alattar, A.M., Delp, E.J. (eds.) Media Forensics and Security. SPIE Proceedings, vol. 7541, p. 754105. SPIE (2010)

    Google Scholar 

  5. Fridrich, J.: Minimizing the Embedding Impact in Steganography. In: Workshop on Multimedia and Security, pp. 2–10. ACM (2006)

    Google Scholar 

  6. Hopper, N.J., Langford, J., von Ahn, L.: Provably Secure Steganography. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 77–92. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  7. Katzenbeisser, S., Petitcolas, F.A.P.: Defining Security in Steganographic Systems. In: Delp, E.J., Wong, P.W. (eds.) Security, Steganography and Watermarking of Multimedia Contents IV, San Jose, CA, vol. 4675, pp. 50–56 (2002)

    Google Scholar 

  8. Ker, A.D.: The Square Root Law in Stegosystems with Imperfect Information. In: Böhme, R., Fong, P.W.L., Safavi-Naini, R. (eds.) IH 2010. LNCS, vol. 6387, pp. 145–160. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  9. Ker, A.D., Pevný, T., Kodovský, J., Fridrich, J.: The Square Root Law of Steganographic Capacity. In: MM&Sec 2008: Proceedings of the 10th ACM Workshop on Multimedia and Security, pp. 107–116. ACM, New York (2008)

    Chapter  Google Scholar 

  10. Pevný, T., Filler, T., Bas, P.: Using High-Dimensional Image Models to Perform Highly Undetectable Steganography. In: Böhme, R., Fong, P.W.L., Safavi-Naini, R. (eds.) IH 2010. LNCS, vol. 6387, pp. 161–177. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  11. Schöttle, P., Böhme, R.: A Game-Theoretic Approach to Content-Adaptive Steganography. In: Ghosal, D., Kirchner, M. (eds.) Information Hiding. LNCS, Springer (to appear, 2012)

    Google Scholar 

  12. Wang, Y., Moulin, P.: Perfectly Secure Steganography: Capacity, Error Exponents, and Code Constructions. IEEE Transactions on Information Theory 54(6), 2706–2722 (2008)

    Article  MathSciNet  Google Scholar 

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Johnson, B., Schöttle, P., Böhme, R. (2012). Where to Hide the Bits ?. In: Grossklags, J., Walrand, J. (eds) Decision and Game Theory for Security. GameSec 2012. Lecture Notes in Computer Science, vol 7638. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34266-0_1

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  • DOI: https://doi.org/10.1007/978-3-642-34266-0_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34265-3

  • Online ISBN: 978-3-642-34266-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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