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Constrained codes are used to prevent errors from occurring in various data storage and data transmission systems. They can help in increasing the storage density of magnetic storage devices, in managing the lifetime of electronic storage…

Information Theory · Computer Science 2022-09-07 Ahmed Hareedy , Beyza Dabak , Robert Calderbank

Synthetic DNA can in principle be used for the archival storage of arbitrary data. Because errors are introduced during DNA synthesis, storage, and sequencing, an error-correcting code (ECC) is necessary for error-free recovery of the data.…

Quantitative Methods · Quantitative Biology 2018-12-05 William H. Press , John A. Hawkins

To increase the information capacity of DNA storage, composite DNA letters were introduced. We propose a novel channel model for composite DNA in which composite sequences are decomposed into ordered standard non-composite sequences. The…

Information Theory · Computer Science 2025-10-31 Besart Dollma , Ohad Elishco , Eitan Yaakobi

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

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 DNA storage channel is considered, in which a codeword is comprised of $M$ unordered DNA molecules. At reading time, $N$ molecules are sampled with replacement, and then each molecule is sequenced. A coded-index concatenated-coding…

Information Theory · Computer Science 2022-05-23 Nir Weinberger

Convolutional codes are error-correcting linear codes that utilize shift registers to encode. These codes have an arbitrary block size and they can incorporate both past and current information bits. DNA codes represent DNA sequences and…

Information Theory · Computer Science 2021-11-09 Paridhi Latawa , Nuh Aydin

Due to its higher data density, longevity, energy efficiency, and ease of generating copies, DNA is considered a promising storage technology for satisfying future needs. However, a diverse set of errors including deletions, insertions,…

Information Theory · Computer Science 2022-08-05 Yuanyuan Tang , Shuche Wang , Hao Lou , Ryan Gabrys , Farzad Farnoud

DNA storage has emerged as an important area of research. The reliability of DNA storage system depends on designing the DNA strings (called DNA codes) that are sufficiently dissimilar. In this work, we introduce DNA codes that satisfy a…

Information Theory · Computer Science 2022-11-28 Krishna Gopal Benerjee , Sourav Deb , Manish K Gupta

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

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

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

In the age of data revolution, a modern storage~or transmission system typically requires different levels of protection. For example, the coding technique used to fortify data in a modern storage system when the device is fresh cannot be…

Information Theory · Computer Science 2025-12-29 Doğukan Özbayrak , Ahmed Hareedy

DNA is a leading candidate as the next archival storage media due to its density, durability and sustainability. To read (and write) data DNA storage exploits technology that has been developed over decades to sequence naturally occurring…

Emerging Technologies · Computer Science 2022-05-12 Jasmine Quah , Omer Sella , Thomas Heinis

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

DNA is emerging as an increasingly attractive medium for data storage due to a number of important and unique advantages it offers, most notably the unprecedented durability and density. While the technology is evolving rapidly, the…

Emerging Technologies · Computer Science 2022-05-03 Dehui Lin , Yasamin Tabatabaee , Yash Pote , Djordje Jevdjic

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

In this paper, we study achievable rates of concatenated coding schemes over a deoxyribonucleic acid (DNA) storage channel. Our channel model incorporates the main features of DNA-based data storage. First, information is stored on many,…

Information Theory · Computer Science 2020-05-04 Andreas Lenz , Lorenz Welter , Sven Puchinger

In [1], the authors proposed a new model of DNA storage system that integrates all three steps of retrieval and introduced the concept of DNA-correcting codes, which guarantees that the output of the storage system can be decoded to the…

Information Theory · Computer Science 2023-11-17 Huawei Wu

Flash memory devices are winning the competition for storage density against magnetic recording devices. This outcome results from advances in physics that allow storage of more than one bit per cell, coupled with advances in signal…

Information Theory · Computer Science 2020-12-09 Ahmed Hareedy , Beyza Dabak , Robert Calderbank