The Ahlswede-Han conjecture on channel with coded side information at the decoder

We study the Ahlswede-Han problem of single-user communication with partial state information available at the destination. For a class of channels, we show that the Wyner-Ziv compression of the channel state treating the receiver´s channel output as side information is optimal. This result is more general than the modulo-sum channel studied by Aleksic et. al in 2009. Thus, for this more general class of channels, we prove the Ahlswede-Han conjecture.