  In this paper we consider complete traceability multimedia fingerprinting
codes resistant to averaging attacks and adversarial noise. Recently it was
shown that there are no such codes for the case of an arbitrary linear attack.
However, for the case of averaging attacks complete traceability multimedia
fingerprinting codes of exponential cardinality resistant to constant
adversarial noise were constructed in 2020 by Egorova et al. We continue this
work and provide an improved lower bound on the rate of these codes.
