Bee Identification Problem for DNA Strands
Motivated by DNA-based applications, we generalize the bee identification problem proposed by Tandon et al. (2019). In this setup, we transmit all $M$ codewords from a codebook over some channel and each codeword results in $N$ noisy outputs. Then our task is to identify each codeword from this unordered set of $MN$ noisy outputs. First, via a reduction to a minimum-cost flow problem on a related bipartite flow network called the input-output flow network, we show that the problem can be solved in $O(M^{3})$ time in the worst case.