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.
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Communicated by C. J. Colbourn.
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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.
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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
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DOI: https://doi.org/10.1007/s10623-020-00717-y