Constrained Error-Correcting Codes for Efficient DNA Synthesis

Fuente: arXiv
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Autores principales: Liu, Yajuan, Duman, Tolga M.
Formato: Preprint
Publicado: 2025
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author Liu, Yajuan
Duman, Tolga M.
author_facet Liu, Yajuan
Duman, Tolga M.
contents DNA synthesis is considered as one of the most expensive components in current DNA storage systems. In this paper, focusing on a common synthesis machine, which generates multiple DNA strands in parallel following a fixed supersequence,we propose constrained codes with polynomial-time encoding and decoding algorithms. Compared to the existing works, our codes simultaneously satisfy both l-runlength limited and ε-balanced constraints. By enumerating all valid sequences, our codes achieve the maximum rate, matching the capacity. Additionally, we design constrained error-correcting codes capable of correcting one insertion or deletion in the obtained DNA sequence while still adhering to the constraints.
format Preprint
id arxiv_https___arxiv_org_abs_2504_09950
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Constrained Error-Correcting Codes for Efficient DNA Synthesis
Liu, Yajuan
Duman, Tolga M.
Information Theory
DNA synthesis is considered as one of the most expensive components in current DNA storage systems. In this paper, focusing on a common synthesis machine, which generates multiple DNA strands in parallel following a fixed supersequence,we propose constrained codes with polynomial-time encoding and decoding algorithms. Compared to the existing works, our codes simultaneously satisfy both l-runlength limited and ε-balanced constraints. By enumerating all valid sequences, our codes achieve the maximum rate, matching the capacity. Additionally, we design constrained error-correcting codes capable of correcting one insertion or deletion in the obtained DNA sequence while still adhering to the constraints.
title Constrained Error-Correcting Codes for Efficient DNA Synthesis
topic Information Theory
url https://arxiv.org/abs/2504.09950