On the Concatenated Code Constructions for Slotted Multiuser Communication Channel

We consider a vector-disjunctive channel where users transmit some vector of bits of length L. Previously the capacity of this channel was estimated and it was shown that there are some cases when it achieves on non-uniform input distribution. It motivates us to study a question of applying some classes of codes that allows in one hand to reach target input distribution and in another one to add some redundancy to transmitted messages to detect or correct some error patterns that appears during transmission either in the case of user interference or due to channel noise.