Constrained Error-Correcting Codes for Efficient DNA Synthesis

Yajuan Liu; Tolga M. Duman

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arXiv · 2504.09950

Constrained Error-Correcting Codes for Efficient DNA Synthesis

Yajuan Liu·Tolga M. Duman

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Abstract

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 {\epsilon}-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.

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Yajuan Liu, Tolga M. Duman. 2025-04-14. Constrained Error-Correcting Codes for Efficient DNA Synthesis. https://arxiv.org/abs/2504.09950

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