  We study a lossy source coding problem for a memoryless remote source. The
source data is broadcast over an arbitrarily varying channel (AVC) controlled
by an adversary. One output of the AVC is received as input at the encoder, and
another output is received as side information at the decoder. The adversary is
assumed to know the source data non-causally, and can employ randomized jamming
strategies arbitrarily correlated to the source data. The decoder reconstructs
the source data from the encoded message and the side information. We prove
upper and lower bounds on the adversarial rate distortion function for the
source under randomized coding. Furthermore, we present some interesting
special cases of our general setup where the above bounds coincide, and thus,
provide their complete rate distortion function characterization.
