D:\sbornik\...\ExIHS.DVI


Mathematical Problems of Computer Science 26, 2006, 33{37.

Computation of I nfor mation H iding Capacity and

E-Capacity Lower B ounds¤

S m b a t A . To n o ya n

Institue for Informatics and Automation Problems of NAS of RA

e-mail smbatt@ipia.sci.am

Abstract

The binary{Hamming case of the E-capacity and capacity results for information
hiding system [1, 2] is evaluated for practical interests. A special parallel algorithm
is elaborated and the computational software utilities are developed. The graphs,
describing dependences of information hiding rate from the reliability and allowed
distortion levels for the information hider and the attacker are obtained and presented.
Also the graphical view of the capacity, depending from the allowed distortion levels
is plotted.

Refer ences

[1 ] M. E . H a r o u t u n ia n a n d S . A . To n o ya n , " R a n d o m c o d in g b o u n d o f in fo r m a t io n h id in g
E-c a p a c it y" , P roc. of IE E E Intern. Symp. Infrom. Theory, p . 5 3 6 , U S A , Ch ic a g o ,
2 0 0 4 .

[2 ] M. E . H a r o u t u n ia n a n d S . A . To n o ya n , " On e s t im a t e s o f r a t e -r e lia b ilit y-d is t o r t io n
fu n c t io n fo r in fo r m a t io n h id in g s ys t e m " , Transactions of the Institute for Informatics
and Automation P roblems of the NAS of R A. M athematical P roblems of Computer
Scence 23, p p . 2 0 -3 1 , 2 0 0 4 .

[3 ] P . Mo u lin a n d J. A . O'S u lliva n , " In fo r m a t io n -t h e o r e t ic a n a lys is o f in fo r m a t io n h id in g " ,
IE E E Trans. Inform. Theory, vo l. 4 9 , n o . 3 , p p . 5 6 3 -5 9 3 , Ma r . 2 0 0 3 .

[4 ] N . Me r h a v, " On r a n d o m c o d in g e r r o r e xp o n e n t s o f wa t e r m a r kin g s ys t e m s " , IE E E
Trans. Inform. Theory, vo l. 4 6 , n o . 2 , p p . 4 2 0 -4 3 0 , Ma r . 2 0 0 0 .

[5 ] N . Me r h a v a n d A . S o m e kh -B a r u c h , " On t h e e r r o r e xp o n e n t a n d c a p a c it y g a m e s o f
p r iva t e wa t e r m a r kin g s ys t e m s " , IE E E Trans. Inform. Theory, vo l. 4 9 , n o . 3 , p p . 5 3 7 -
5 6 2 , Ma r . 2 0 0 3 .

¤The work was supported by Armenian Target Programm 04.10.31.

3 3



3 4 Computation of Information Hiding Capacity and E-Capacity Lower Bounds

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