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In this paper we study error-correcting codes for the storage of data in synthetic deoxyribonucleic acid (DNA). We investigate a storage model where a data set is represented by an unordered set of $M$ sequences, each of length $L$. Errors…

Information Theory · Computer Science 2020-02-13 Andreas Lenz , Paul H. Siegel , Antonia Wachter-Zeh , Eitan Yaakobi

In the emerging field of DNA storage, data is encoded as DNA sequences and stored. The data is read out again by sequencing the stored DNA. Nanopore sequencing is a new sequencing technology that has many advantages over other methods; in…

Information Theory · Computer Science 2021-02-04 Reyna Hulett , Shubham Chandak , Mary Wootters

Decoding sequences that stem from multiple transmissions of a codeword over an insertion, deletion, and substitution channel is a critical component of efficient deoxyribonucleic acid (DNA) data storage systems. In this paper, we consider a…

Information Theory · Computer Science 2020-10-30 Andreas Lenz , Issam Maarouf , Lorenz Welter , Antonia Wachter-Zeh , Eirik Rosnes , Alexandre Graell i Amat

DNA storage is now being considered as a new archival storage method for its durability and high information density, but still facing some challenges like high costs and low throughput. By reducing sequencing sample size for decoding…

Information Theory · Computer Science 2025-04-22 Ruiying Cao , Xin Chen

Due to their sequential nature, traditional DNA synthesis methods are expensive in terms of time and resources. They also fabricate multiple copies of the same strand, introducing redundancy. This redundancy can be leveraged to enhance the…

Information Theory · Computer Science 2025-10-29 Frederik Walter , Yonatan Yehezkeally

We provide an overview of current approaches to DNA-based storage system design and accompanying synthesis, sequencing and editing methods. We also introduce and analyze a suite of new constrained coding schemes for both archival and random…

Emerging Technologies · Computer Science 2015-07-08 S. M. Hossein Tabatabaei Yazdi , Han Mao Kiah , Eva Ruiz Garcia , Jian Ma , Huimin Zhao , Olgica Milenkovic

We study the combination of two recent coding approaches, in the context of DNA based data storage. Composite DNA alphabets leverage properties of the DNA synthesis and sequencing process. A composite symbol does not represent a single…

Information Theory · Computer Science 2026-05-20 Tomer Cohen , Eitan Yaakobi , Zohar Yakhini

We describe a strategy for constructing codes for DNA-based information storage by serial composition of weighted finite-state transducers. The resulting state machines can integrate correction of substitution errors; synchronization by…

Information Theory · Computer Science 2016-11-18 Ian Holmes

We consider error-correcting coding for DNA-based storage. We model the DNA storage channel as a multi-draw IDS channel where the input data is chunked into $M$ short DNA strands, which are copied a random number of times, and the channel…

Information Theory · Computer Science 2023-06-22 Lorenz Welter , Issam Maarouf , Andreas Lenz , Antonia Wachter-Zeh , Eirik Rosnes , Alexandre Graell i Amat

DNA, with remarkable properties of high density, durability, and replicability, is one of the most appealing storage media. Emerging DNA storage technologies use composite DNA letters, where information is represented by probability…

Information Theory · Computer Science 2025-03-26 Wenkai Zhang , Zhiying Wang

Composite DNA is a recent method to increase the base alphabet size in DNA-based data storage.This paper models synthesizing and sequencing of composite DNA and introduces coding techniques to correct substitutions, losses of entire…

Information Theory · Computer Science 2025-10-29 Frederik Walter , Omer Sabary , Antonia Wachter-Zeh , Eitan Yaakobi

DNA has emerged as a promising alternative for long-term data storage due to its high capacity, durability, and low-energy potential. However, storing data in DNA presents several challenges. First, it requires complex and costly…

Other Quantitative Biology · Quantitative Biology 2025-11-20 Sara Al Sayyed , Aline Roumy , Thomas Maugey

The DNA storage channel is considered, in which the $M$ Deoxyribonucleic acid (DNA) molecules comprising each codeword are stored without order, sampled $N$ times with replacement, and then sequenced over a discrete memoryless channel. For…

Information Theory · Computer Science 2022-02-15 Nir Weinberger , Neri Merhav

We consider the problem of joint source and channel coding of structured data such as natural language over a noisy channel. The typical approach to this problem in both theory and practice involves performing source coding to first…

Information Theory · Computer Science 2018-02-21 Nariman Farsad , Milind Rao , Andrea Goldsmith

A method for encoding information in DNA sequences is described. The method is based on the precision-resolution framework, and is aimed to work in conjunction with a recently suggested terminator-free template independent DNA synthesis…

Information Theory · Computer Science 2020-05-14 Siddharth Jain , Farzad Farnoud , Moshe Schwartz , Jehoshua Bruck

To reduce computational complexity and delay in randomized network coded content distribution (and for some other practical reasons), coding is not performed simultaneously over all content blocks but over much smaller subsets known as…

Information Theory · Computer Science 2010-06-04 Yao Li , Emina Soljanin , Predrag Spasojevic

The yearly global production of data is growing exponentially, outpacing the capacity of existing storage media, such as tape and disk, and surpassing our ability to store it. DNA storage - the representation of arbitrary information as…

Quantitative Methods · Quantitative Biology 2023-10-04 Thomas Heinis , Roman Sokolovskii , Jamie J. Alnasir

Data storage in DNA is developing as a possible solution for archival digital data. Recently, to further increase the potential capacity of DNA-based data storage systems, the combinatorial composite DNA synthesis method was suggested. This…

Information Theory · Computer Science 2024-05-28 Omer Sabary , Inbal Preuss , Ryan Gabrys , Zohar Yakhini , Leon Anavy , Eitan Yaakobi

This paper studies two problems that are motivated by the novel recent approach of composite DNA that takes advantage of the DNA synthesis property which generates a huge number of copies for every synthesized strand. Under this paradigm,…

Information Theory · Computer Science 2025-05-15 Tomer Cohen , Eitan Yaakobi

Due to its longevity and enormous information density, DNA is an attractive medium for archival storage. In this work, we study the fundamental limits and trade-offs of DNA-based storage systems by introducing a new channel model, which we…

Information Theory · Computer Science 2020-01-20 Ilan Shomorony , Reinhard Heckel