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Encoding data as a set of unordered strings is receiving great attention asit captures one of the basic features of DNA storage systems. However, thechallenge of constructing optimal redundancy codes for this channel remainedelusive. In this paper, we address this problem and present an order-wiseoptimal construction of codes that are capable of correcting multiplesubstitution, deletion, and insertion errors for this channel model. The keyingredient in the code construction is a technique we call robust indexing:simultaneously assigning indices to unordered strings (hence, creating order)and also embedding information in these indices.  The encoded indices are resilient to substitution, deletion, and insertionerrors, and therefore, so is the entire code.

Robust Indexing for the Sliced Channel: Almost Optimal Codes for Substitutions and Deletions