}$ into an action sequence $A^{n};$ two decoders, namely $$\mathrm{h}_{0}\text{: }\text{ }[0,0^{nR_{0}}]\times[0,0^{nR_{b}}]\times\mathcal{Y}^{n}\rightarrow\mathcal{\hat{X}}_{0}^{n},\label{decoder0_BC}$$ which maps 