iBet uBet web content aggregator. Adding the entire web to your favor.
iBet uBet web content aggregator. Adding the entire web to your favor.



Link to original content: https://unpaywall.org/10.1007/978-3-642-40099-5_2
A Study of Optimal Matrix for Efficient Matrix Embedding in $\mathbb{F}_3$ | SpringerLink
Skip to main content

A Study of Optimal Matrix for Efficient Matrix Embedding in \(\mathbb{F}_3\)

  • Conference paper
The International Workshop on Digital Forensics and Watermarking 2012 (IWDW 2012)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 7809))

Included in the following conference series:

  • 2064 Accesses

Abstract

Matrix embedding (ME) is an effective way to reduce the distortion of steganography. In ME, the sender and recipient agree on a matrix in advance, and the message will be embedded into the cover data according to the matrix. By this means, matrices with the same dimension can provide the same capacity but may introduce quite different distortions. Thus the choice of matrices is crucial to the performance of ME and it is meaningful to determine the optimal matrix which can introduce the least distortion. In this paper, we study the optimal-matrix-determination problem for ME in \(\mathbb{F}_3 = \{0,\pm1\}\). Some initial results are obtained.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Fridrich, J.: Steganography in Digital Media: Principles, Algorithms, and Applications. Cambridge University Press, Cambridge (2010)

    MATH  Google Scholar 

  2. Li, B., He, J., Huang, J., Shi, Y.Q.: A survey on image steganography and steganalysis. Journal of Information Hiding and Multimedia Signal Processing 2(2), 142–172 (2011)

    Google Scholar 

  3. Fridrich, J.: Minimizing the embedding impact in steganography. In: Proc. 8th ACM Workshop on Multimedia & Security, pp. 2–10 (2006)

    Google Scholar 

  4. Zhang, W., Zhang, X., Wang, S.: Maximizing steganographic embedding efficiency by combining Hamming codes and wet paper codes. In: Solanki, K., Sullivan, K., Madhow, U. (eds.) IH 2008. LNCS, vol. 5284, pp. 60–71. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  5. Li, X., Yang, B., Cheng, D., Zeng, T.: A generalization of LSB matching. IEEE Signal Process. Lett. 16(2), 69–72 (2009)

    Article  Google Scholar 

  6. Sallee, P.: Model-based steganography. In: Kalker, T., Cox, I., Ro, Y.M. (eds.) IWDW 2003. LNCS, vol. 2939, pp. 154–167. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  7. Cachin, C.: An information-theoretic model for steganography. Information and Computation 192(1), 41–56 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  8. 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 

  9. Yang, C.H., Weng, C.Y., Wang, S.J., Sun, H.M.: Adaptive data hiding in edge areas of images with spatial LSB domain systems. IEEE Trans. Inf. Forens. Security 3(3), 488–497 (2008)

    Article  Google Scholar 

  10. Luo, W., Huang, F., Huang, J.: Edge adaptive image steganography based on LSB matching revisited. IEEE Trans. Inf. Forens. Security 5(2), 201–214 (2010)

    Article  MathSciNet  Google Scholar 

  11. Gui, X., Li, X., Yang, B.: A content-adaptive ±1-based steganography by minimizing the distortion of first order statistics. In: Proc. IEEE ICASSP, pp. 1781–1784 (2012)

    Google Scholar 

  12. Westfeld, A.: F5–A steganographic algorithm: High capacity despite better steganalysis. In: Moskowitz, I.S. (ed.) IH 2001. LNCS, vol. 2137, pp. 289–302. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  13. Fridrich, J., Lisoněk, P., Soukal, D.: On steganographic embedding efficiency. In: Camenisch, J.L., Collberg, C.S., Johnson, N.F., Sallee, P. (eds.) IH 2006. LNCS, vol. 4437, pp. 282–296. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  14. Crandall, R.: Some notes on steganography (1998), http://www.dia.unisa.it/ads/corso-security/www/CORSO-0203/steganografia/LINKSLOCALI/matrix-encoding.pdf

  15. Fridrich, J., Soukal, D.: Matrix embedding for large payloads. IEEE Trans. Inf. Forens. Security 1(3), 390–395 (2006)

    Article  Google Scholar 

  16. Khatirinejad, M., Lisoněk, P.: Linear codes for high patload steganography. Discrete Applied Mathematics 157(5), 971–981 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  17. Gao, Y., Li, X., Yang, B.: Employing optimal matrix for efficient matrix embedding. In: Proc. IIH-MSP, pp. 161–165 (2009)

    Google Scholar 

  18. Cohen, G., Honkala, I., Litsyn, S., Lobstein, A.: Covering Codes. Elsevier, Amsterdam (1997)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Qi, Y., Li, X., Wang, B., Yang, B. (2013). A Study of Optimal Matrix for Efficient Matrix Embedding in \(\mathbb{F}_3\). In: Shi, Y.Q., Kim, HJ., Pérez-González, F. (eds) The International Workshop on Digital Forensics and Watermarking 2012. IWDW 2012. Lecture Notes in Computer Science, vol 7809. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40099-5_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-40099-5_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-40098-8

  • Online ISBN: 978-3-642-40099-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics