Designs, Codes and Cryptography

, Volume 71, Issue 1, pp 83-103

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

Optimal symmetric Tardos traitor tracing schemes

  • Thijs LaarhovenAffiliated withEindhoven University of Technology
  • , Benne de WegerAffiliated withEindhoven University of Technology Email author 


For the Tardos traitor tracing scheme, we show that by combining the symbol-symmetric accusation function of Škorić 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 Škorić 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.


Traitor tracing schemes Fingerprinting codes Watermarking

Mathematics Subject Classification (2000)

68P30 94B60