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arXiv · 1911.05413

Single-Error Detection and Correction for Duplication and Substitution Channels

Yuanyuan Tang·Yonatan Yehezkeally·Moshe Schwartz·Farzad Farnoud
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Abstract

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.

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Yuanyuan Tang, Yonatan Yehezkeally, Moshe Schwartz, Farzad Farnoud. 2019-11-13. Single-Error Detection and Correction for Duplication and Substitution Channels. https://doi.org/10.1109/tit.2020.3006228

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