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DNA data storage offers a high-density, long-term alternative to traditional storage systems, addressing the exponential growth of digital data. Composite DNA extends this paradigm by leveraging mixtures of nucleotides to increase storage…

Information Theory · Computer Science 2026-02-13 Busra Tegin , Tolga M Duman

In this paper, we study how often unique decoding from $t$ insertions or $t$ deletions occurs for error correcting codes. Insertions and deletions frequently occur in synchronization problems and DNA, a medium which is beginning to be used…

Information Theory · Computer Science 2017-09-29 Kayvon Mazooji

Synthetic DNA approaches 227.5 exabytes per gram of storage density with stability over millennial timescales. Realising this capacity requires error-correction codes that recover data from substantial synthesis and sequencing errors.…

Information Theory · Computer Science 2026-04-23 James L. Banal

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

We consider the problem of coding for the substring channel, in which information strings are observed only through their (multisets of) substrings. Due to existing DNA sequencing techniques and applications in DNA-based storage systems,…

Information Theory · Computer Science 2024-03-27 Yonatan Yehezkeally , Nikita Polyanskii

We propose a new coding scheme, called the delayed coding (DC) scheme, for channels with insertion, deletion, and substitution (IDS) errors. The proposed scheme employs delayed encoding and non-iterative detection and decoding strategies to…

Information Theory · Computer Science 2022-05-25 Ryo Shibata , Hiroyuki Yashima

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

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

DNA storage systems face significant challenges, including insertion, deletion, and substitution (IDS) errors. Therefore, designing effective synchronization codes, i.e., codes capable of correcting IDS errors, is essential for DNA storage…

Information Theory · Computer Science 2025-05-23 Javad Haghighat , Tolga M. Duman

Composite DNA is a recent novel method to increase the information capacity of DNA-based data storage above the theoretical limit of 2 bits/symbol. In this method, every composite symbol does not store a single DNA nucleotide but a mixture…

Information Theory · Computer Science 2025-01-22 Tuan Thanh Nguyen , Chen Wang , Kui Cai , Yiwei Zhang , Zohar Yakhini

Motivated by DNA-based storage, we study the noisy shuffling channel, which can be seen as the concatenation of a standard noisy channel (such as the BSC) and a shuffling channel, which breaks the data block into small pieces and shuffles…

Information Theory · Computer Science 2019-03-01 Ilan Shomorony , Reinhard Heckel

The errors occurring in DNA-based storage are correlated in nature, which is a direct consequence of the synthesis and sequencing processes. In this paper, we consider the memory-$k$ nanopore channel model recently introduced by Hamoum et…

Information Theory · Computer Science 2023-03-27 Issam Maarouf , Eirik Rosnes , Alexandre Graell i Amat

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…

Information Theory · Computer Science 2020-07-01 Yuanyuan Tang , Yonatan Yehezkeally , Moshe Schwartz , Farzad Farnoud

Encoding data as a set of unordered strings is receiving great attention as it captures one of the basic features of DNA storage systems. However, the challenge of constructing optimal redundancy codes for this channel remained elusive. In…

Information Theory · Computer Science 2023-08-16 Jin Sima , Netanel Raviv , Jehoshua Bruck

Recent experiments have demonstrated the feasibility of storing digital information in macromolecules such as DNA and protein. However, the DNA storage channel is prone to errors such as deletions, insertions, and substitutions. During the…

Information Theory · Computer Science 2024-10-22 Aryan Abbasian , Mahtab Mirmohseni , Masoumeh Nasiri Kenari

With the rapid increase of available digital data, DNA storage is identified as a storage media with high density and capability of long-term preservation, especially for archival storage systems. However, the encoding density (i.e., how…

Emerging Technologies · Computer Science 2021-08-26 Bingzhe Li , Li Ou , David Du

DNA strands serve as a storage medium for $4$-ary data over the alphabet $\{A,T,G,C\}$. DNA data storage promises formidable information density, long-term durability, and ease of replicability. However, information in this intriguing…

Information Theory · Computer Science 2024-08-06 Canberk İrimağzı , Yusuf Uslan , Ahmed Hareedy

We initiate the study of DNA-based distributed storage systems, where information is encoded across multiple DNA data storage containers to achieve robustness against container failures. In this setting, data are distributed over $M$…

Information Theory · Computer Science 2026-02-10 Adi Levy , Roni Con , Eitan Yaakobi , Han Mao Kiah

Ever since deoxyribonucleic acid (DNA) was considered as a next-generation data-storage medium, lots of research efforts have been made to correct errors occurred during the synthesis, storage, and sequencing processes using error…

Information Theory · Computer Science 2023-06-14 Jaeho Jeong , Hosung Park , Hee-Youl Kwak , Jong-Seon No , Hahyeon Jeon , Jeong Wook Lee , Jae-Won Kim

"Independent and identically distributed" errors do not accurately capture the noisy behavior of real-world data storage and information transmission technologies. Motivated by this, we study channels with input-correlated synchronization…

Information Theory · Computer Science 2026-05-14 Roni Con , João Ribeiro