Given a family of binary-input memoryless output-symmetric (BMS) channels having a fixed capacity, we derive the BMS channel having the highest (resp.lowest) capacity among all channels that are degraded (resp. upgraded) with respect to the whole family. We give an explicit characterization of this channel as well as an explicit formula for the capacity of this channel.
Rüdiger Urbanke, Seyed Hamed Hassani, Marco Mondelli
Rüdiger Urbanke, Kirill Ivanov