Single-Error Detection and Correction for Duplication and Substitution Channels

11/13/2019

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by   Yuanyuan Tang, et al.

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Motivated by mutation processes occurring in in-vivo DNA-storage applications, a channel that mutates stored strings by duplicating substrings as well as substituting symbols is studied. Two models of such a channel are considered: one in which the substitutions occur only within the duplicated substrings, and one in which the location of substitutions is unrestricted. Both error-detecting and error-correcting codes are constructed, which can handle correctly any number of tandem duplications of a fixed length k, and at most a single substitution occurring at any time during the mutation process.