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The process of DNA-based data storage (DNA storage for short) can be mathematically modelled as a communication channel, termed DNA storage channel, whose inputs and outputs are sets of unordered sequences. To design error correcting codes…

Information Theory · Computer Science 2020-06-11 Wentu Song , Kui Cai , Kees A. Schouhamer Immink

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

A method for concatenating quantum error-correcting codes is presented. The method is applicable to a wide class of quantum error-correcting codes known as Calderbank-Shor-Steane (CSS) codes. As a result, codes that achieve a high rate in…

Quantum Physics · Physics 2016-11-17 Mitsuru Hamada

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

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

While achieving a compression ratio of 2.0 bits/base, the new algorithm codes non-N bases in fixed length. It dramatically reduces the time of coding and decoding than previous DNA compression algorithms and some universal compression…

Information Theory · Computer Science 2007-07-16 Jie Liu , Sheng Bao , Zhiqiang Jing , Shi Chen

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…

Information Theory · Computer Science 2019-09-10 Yonatan Yehezkeally , Moshe Schwartz

We consider the problem of assembling a sequence based on a collection of its substrings observed through a noisy channel. The mathematical basis of the problem is the construction and design of sequences that may be discriminated based on…

Information Theory · Computer Science 2015-11-04 Han Mao Kiah , Gregory J. Puleo , Olgica Milenkovic

The ability to store data in the DNA of a living organism has applications in a variety of areas including synthetic biology and watermarking of patented genetically-modified organisms. Data stored in this medium is subject to errors…

Information Theory · Computer Science 2016-11-17 Siddharth Jain , Farzad Farnoud , Moshe Schwartz , Jehoshua Bruck

The paper describes an algorithm to compute a consensus sequence from a set of DNA sequences of approximatively identical length generated by 3rd sequencing generation technologies. Its purpose targets DNA storage and is guided by specific…

Data Structures and Algorithms · Computer Science 2021-05-12 Dominique Lavenier

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

As the global need for large-scale data storage is rising exponentially, existing storage technologies are approaching their theoretical and functional limits in terms of density and energy consumption, making DNA based storage a potential…

Emerging Technologies · Computer Science 2021-10-12 Yotam Nahum , Eyar Ben-Tolila , Leon Anavy

Because of its high data density and longevity, DNA is emerging as a promising candidate for satisfying increasing data storage needs. Compared to conventional storage media, however, data stored in DNA is subject to a wider range of errors…

Information Theory · Computer Science 2020-08-20 Yuanyuan Tang , Farzad Farnoud

To equip DNA-based data storage with random-access capabilities, Yazdi et al. (2018) prepended DNA strands with specially chosen address sequences called primers and provided certain design criteria for these primers. We provide explicit…

Information Theory · Computer Science 2019-01-07 Yeow Meng Chee , Han Mao Kiah , Hengjia Wei

The exponentially increasing demand for data storage has been facing more and more challenges during the past years. The energy costs that it represents are also increasing, and the availability of the storage hardware is not able to follow…

Image and Video Processing · Electrical Eng. & Systems 2022-03-21 Xavier Pic , Marc Antonini

DNA storage is a promising archival data storage solution to today's big data problem. A DNA storage system encodes and stores digital data with synthetic DNA sequences and decodes DNA sequences back to digital data via sequencing. For…

Emerging Technologies · Computer Science 2024-03-22 Yixun Wei , Wenlong Wang , Huibing Dong , Bingzhe Li , David Du

Recently, DNA storage has surfaced as a promising alternative for data storage, presenting notable benefits in terms of storage capacity, cost-effectiveness in maintenance, and the capability for parallel replication. Mathematically, the…

Information Theory · Computer Science 2024-01-31 Yi Lu , Yun Ma , Chenghao Li , Xin Zhang , Guangxiang Si

Although the expenses associated with DNA sequencing have been rapidly decreasing, the current cost of sequencing information stands at roughly $120/GB, which is dramatically more expensive than reading from existing archival storage…

Discrete Mathematics · Computer Science 2023-11-30 Daniella Bar-Lev , Omer Sabary , Ryan Gabrys , Eitan Yaakobi

We live in a period where bio-informatics is rapidly expanding, a significant quantity of genomic data has been produced as a result of the advancement of high-throughput genome sequencing technology, raising concerns about the costs…

Quantitative Methods · Quantitative Biology 2023-03-10 Mehedi Hasan Sarkar , Adnan Ferdous Ashrafi

In this paper, we propose a novel iterative encoding algorithm for DNA storage to satisfy both the GC balance and run-length constraints using a greedy algorithm. DNA strands with run-length more than three and the GC balance ratio far from…

Information Theory · Computer Science 2023-01-04 Seong-Joon Park , Yongwoo Lee , Jong-Seon No