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Where to Hide the Bits ?

  • Benjamin Johnson
  • Pascal Schöttle
  • Rainer Böhme
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7638)

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.

Keywords

Game Theory Information Hiding Steganography Security 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Benjamin Johnson
    • 1
  • Pascal Schöttle
    • 2
  • Rainer Böhme
    • 2
  1. 1.Department of MathematicsUC BerkeleyUSA
  2. 2.Department of Information SystemsUniversity of MünsterGermany

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