Abstract-DNA as a data storage medium has several advantages, including far greater data density compared to electronic media. We propose that schemes for data storage in the DNA of living organisms may benefit from studying the reconstruction problem, which is applicable whenever multiple reads of noisy data are available. This strategy is uniquely suited to the medium, which inherently replicates stored data in multiple distinct ways, caused by mutations. We consider noise introduced solely by uniform tandem-duplication, and utilize the relation to constantweight integer codes in the Manhattan metric. By bounding the intersection of the cross-polytope with hyperplanes, we prove the existence of reconstruction codes with greater rates than known error-correcting codes.
In REF the authors studied the reconstruction problem for uniform-tandem-duplication noise, which is applicable to invivo DNA data storage.
Reconstruction Codes for DNA Sequences with Uniform Tandem-Duplication Errors
Computer Science Mathematics