Optimal symmetric Tardos traitor tracing schemes

  • Authors:
  • Thijs Laarhoven;Benne Weger

  • Affiliations:
  • Eindhoven University of Technology, Eindhoven, The Netherlands;Eindhoven University of Technology, Eindhoven, The Netherlands

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 2014

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Abstract

For the Tardos traitor tracing scheme, we show that by combining the symbol-symmetric accusation function of 驴korić et al. with the improved analysis of Blayer and Tassa we get further improvements. Our construction gives codes that are up to four times shorter than Blayer and Tassa's, and up to two times shorter than the codes from 驴korić et al. Asymptotically, we achieve the theoretical optimal codelength for Tardos' distribution function and the symmetric score function. For large coalitions, our codelengths are asymptotically about 4.93% of Tardos' original codelengths, which also improves upon results from Nuida et al.