Single-Error Detection and Correction for Duplication and Substitution Channels
Information Theory
2020-07-01 v2 math.IT
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 , and at most a single substitution occurring at any time during the mutation process.
Keywords
Cite
@article{arxiv.1911.05413,
title = {Single-Error Detection and Correction for Duplication and Substitution Channels},
author = {Yuanyuan Tang and Yonatan Yehezkeally and Moshe Schwartz and Farzad Farnoud},
journal= {arXiv preprint arXiv:1911.05413},
year = {2020}
}
Comments
Author-submitted, peer-reviewed, version