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In an index coding with side-information (ICSI) problem there is a sender with a set of \textit{n} independent messages and there are \textit{m} receivers $\mathcal{R}=\{R_1, R_2, ..., R_m\}$, each identified with ($\mathcal{W}_i, \mathcal{K}_i$), where is the set of messages wanted by receiver and ...