Skip to main content
Log in

Multimedia IPP codes with efficient tracing

  • Published:
Designs, Codes and Cryptography Aims and scope Submit manuscript

Abstract

Wu et al. (IEEE Signal Process Mag 21:15–27, 2004) showed that fingerprinting system can be designed according to different criteria: catching one, catching many and catching all. For the case of “catching many”, binary multimedia identifiable parent property codes (t-MIPPCs) were introduced to construct fingerprints resistant to the averaging collusion attack on multimedia contents. In this paper, we focus on such a case, and introduce the binary strongly multimedia identifiable parent property code (t-SMIPPC) whose tracing algorithm is more efficient than that of a binary t-MIPPC. Then a concatenation construction for binary t-SMIPPCs from q-ary t-SMIPPCs is provided. Moreover, we establish a probabilistic lower bound on q-ary t-SMIPPCs, whose code rate is asymptotically as good as that of q-ary t-MIPPCs. Finally, several infinite series of optimal q-ary t-SMIPPCs of length 2 with \(t = 2, 3\) are derived from the relationships among t-SMIPPCs and other fingerprinting codes, such as t-MIPPCs and \(\overline{t}\)-separable codes.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Barg A., Kabatiansky G.: A class of I.P.P. codes with efficient identification. J. Complex. 20, 137–147 (2004).

    Article  MathSciNet  Google Scholar 

  2. Barg A., Cohen G., Encheva S., Kabatiansky G., Zémor G.: A hypergraph approach to the identifying parent property: the case of multiple parents. SIAM J. Discret. Math. 14, 423–431 (2001).

    Article  MathSciNet  Google Scholar 

  3. Barg A., Blakley G.R., Kabatiansky G.: Digital fingerprinting codes: problem statements, constructions, identification of traitors. IEEE Trans. Inf. Theory 49, 852–865 (2003).

    Article  MathSciNet  Google Scholar 

  4. Blackburn S.R.: An upper bound on the size of a code with the \(k\)-identifiable property. J. Comb. Theory Ser. A 102, 179–185 (2003).

    Article  MathSciNet  Google Scholar 

  5. Blackburn S.R.: Probabilistic existence results for separable codes. IEEE Trans. Inf. Theory 61, 5822–5827 (2015).

    Article  MathSciNet  Google Scholar 

  6. Boneh D., Shaw J.: Collusion-secure fingerprinting for digital data. IEEE Trans. Inf. Theory 44, 1897–1905 (1998).

    Article  MathSciNet  Google Scholar 

  7. Cheng M., Miao Y.: On anti-collusion codes and detection algorithms for multimedia fingerprinting. IEEE Trans. Inf. Theory 57, 4843–4851 (2011).

    Article  MathSciNet  Google Scholar 

  8. Cheng M., Ji L., Miao Y.: Separable codes. IEEE Trans. Inf. Theory 58, 1791–1803 (2012).

    Article  MathSciNet  Google Scholar 

  9. Cheng M., Fu H.-L., Jiang J., Lo Y.-H., Miao Y.: Codes with the identifiable parent property for multimedia fingerprinting. Des. Codes Cryptogr. 74, 31–40 (2015).

    Article  MathSciNet  Google Scholar 

  10. Cheng M., Fu H.-L., Jiang J., Lo Y.-H., Miao Y.: New bounds on \(\overline{2}\)-separable codes of length 2. Des. Codes Cryptogr. 83, 71–82 (2017).

    Article  MathSciNet  Google Scholar 

  11. Egorova E., Fernandez M., Kabatiansky G., Lee M.H.: Signature codes for weighted noisy adder channel, multimedia fingerprinting and compressed sensing. Des. Codes Cryptogr. 87, 455–462 (2019).

    Article  MathSciNet  Google Scholar 

  12. Gao F., Ge G.: New bounds on separable codes for multimedia fingerprinting. IEEE Trans. Inf. Theory 60, 5257–5262 (2014).

    Article  MathSciNet  Google Scholar 

  13. Gu Y., Cheng M., Kabatiansky G., Miao Y.: Probabilistic existence results for parent-identifying schemes. IEEE Trans. Inf. Theory 65, 6160–6170 (2019).

    Article  MathSciNet  Google Scholar 

  14. Hollmann H.D.L., van Lint J.H., Linnartz J.-P., Tolhuizen L.M.G.M.: On codes with the identifiable parent property. J. Comb. Theory Ser. A 82, 121–133 (1998).

    Article  MathSciNet  Google Scholar 

  15. Jiang J., Cheng M., Miao Y.: Strongly separable codes. Des. Codes Cryptogr. 79, 303–318 (2016).

    Article  MathSciNet  Google Scholar 

  16. Liu K.J.R., Trappe W., Wang Z.J., Wu M., Zhao H.: Multimedia Fingerprinting Forensics for Traitor Tracing. Hindawi, New York (2005).

    Book  Google Scholar 

  17. Shangguan C., Ma J., Ge G.: New upper bounds for parent-identifying codes and traceability codes. Des. Codes Cryptogr. 86, 1727–1737 (2018).

    Article  MathSciNet  Google Scholar 

  18. Staddon J.N., Stinson D.R., Wei R.: Combinatorial properties of frameproof and traceability codes. IEEE Trans. Inf. Theory 47, 1042–1049 (2001).

    Article  MathSciNet  Google Scholar 

  19. Trappe W., Wu M., Wang Z.J., Liu K.J.R.: Anti-collusion fingerprinting for multimedia. IEEE Trans. Signal Process. 51, 1069–1087 (2003).

    Article  MathSciNet  Google Scholar 

  20. van Trung T., Martirosyan S.: New constructions for IPP codes. Des. Codes Cryptogr. 35, 227–239 (2005).

    Article  MathSciNet  Google Scholar 

  21. Wu M., Trappe W., Wang Z.J., Liu K.J.R.: Collusion-resistant fingerprinting for multimedia. IEEE Signal Process. Mag. 21, 15–27 (2004).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jing Jiang.

Additional information

Communicated by C. J. Colbourn.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

The work of J. Jiang and M. Cheng was in part supported by NSFC (Nos. 11301098, 11601096, 11671103), 2016GXNSF (Nos. FA380011, CA380021), 2018GXNSFAA138152, Guangxi Higher Institutions Program of Introducing 100 High-Level Overseas Talents, Research Fund of Guangxi Key Lab of Multi-source Information Mining & Security (16-B-01,18-B-01), Guangxi Collaborative Innovation Center of Multi-source Information Integration and Intelligent Processing, and the Guangxi “Bagui Scholar” Teams for Innovation and Research Project.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jiang, J., Gu, Y. & Cheng, M. Multimedia IPP codes with efficient tracing. Des. Codes Cryptogr. 88, 851–866 (2020). https://doi.org/10.1007/s10623-020-00717-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10623-020-00717-y

Keywords

Mathematics Subject Classification

Navigation