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Related papers: Coding for Ordered Composite DNA Sequences

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A new family of codes, called clustering-correcting codes, is presented in this paper. This family of codes is motivated by the special structure of data that is stored in DNA-based storage systems. The data stored in these systems has the…

Information Theory · Computer Science 2019-03-12 Tal Shinkar , Eitan Yaakobi , Andreas Lenz , Antonia Wachter-Zeh

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

DNA Data storage has recently attracted much attention due to its durable preservation and extremely high information density (bits per gram) properties. In this work, we propose a hybrid coding strategy comprising of generalized…

Information Theory · Computer Science 2021-12-20 Yixin Wang , Li Deng , Md. Noor-A-Rahim , Erry Gunawan , Yong L. Guan , Zhi P. Shi , Chueh L. Poh

Due to its high data density and longevity, DNA is considered a promising medium for satisfying ever-increasing data storage needs. However, the diversity of errors that occur in DNA sequences makes efficient error-correction a challenging…

Information Theory · Computer Science 2020-11-12 Yuanyuan Tang , Farzad Farnoud

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

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

Due to the redundant nature of DNA synthesis and sequencing technologies, a basic model for a DNA storage system is a multi-draw "shuffling-sampling" channel. In this model, a random number of noisy copies of each sequence is observed at…

Information Theory · Computer Science 2021-12-06 Kel Levick , Reinhard Heckel , Ilan Shomorony

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

Motivated by DNA-based data storage, we investigate a system where digital information is stored in an unordered set of several vectors over a finite alphabet. Each vector begins with a unique index that represents its position in the whole…

Information Theory · Computer Science 2019-01-23 Andreas Lenz , Paul H. Siegel , Antonia Wachter-Zeh , Eitan Yaakobi

In this paper, we consider the outer channel for DNA-based data storage. When transmitting over the outer channel, each DNA string is treated as a unit/symbol that would be either correctly received, or erased, or corrupted by uniformly…

Information Theory · Computer Science 2025-09-23 Xuan He , Yi Ding , Kui Cai , Guanghui Song , Bin Dai , Xiaohu Tang

We study the amount of reliable information that can be stored in a DNA-based storage system with noisy sequencing, where each codeword is composed of short DNA molecules. We analyze a concatenated coding scheme, where the outer code is…

Information Theory · Computer Science 2026-05-19 Ran Tamir , Nir Weinberger , Albert Guillén i Fàbregas

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

The interest in channel models in which the data is sent as an unordered set of binary strings has increased lately, due to emerging applications in DNA storage, among others. In this paper we analyze the minimal redundancy of binary codes…

Information Theory · Computer Science 2019-10-29 Jin Sima , Netanel Raviv , Jehoshua Bruck

We consider the problem of storing and retrieving information from synthetic DNA media. The mathematical basis of the problem is the construction and design of sequences that may be discriminated based on their collection of substrings…

Information Theory · Computer Science 2015-02-03 Han Mao Kiah , Gregory J. Puleo , Olgica Milenkovic

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

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

In this paper, we consider a concatenated coding based class of DNA storage codes in which the selected molecules are constrained to be taken from an ``inner'' codebook associated with the sequencing channel. This codebook is used in a…

Information Theory · Computer Science 2025-06-19 Yan Hao Ling , Jonathan Scarlett

Owing to its longevity and enormous information density, DNA, the molecule encoding biological information, has emerged as a promising archival storage medium. However, due to technological constraints, data can only be written onto many…

Emerging Technologies · Computer Science 2018-03-12 Reinhard Heckel , Gediminas Mikutis , Robert N. Grass

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

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