information theory – Converse proof for random coding capacity of AVC

I want to see the converse proof for the random coding capacity of AVC. All I can find online is Csiszar Narayan’s AVC paper which looks at deterministic coding. Further, the proof itself is quite dense (using Lemma 2 in the paper).

I am wondering if there is any work that proves the converse of AVC random coding capacity. If anyone can write the proof here then that works as well. I am ok with a proof for deterministic coding capacity of AVC as well if it is different from the above-mentioned paper.