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Due to its longevity and enormous information density, DNA is an attractive medium for archival data storage. Thanks to rapid technological advances, DNA storage is becoming practically feasible, as demonstrated by a number of experimental…

Information Theory · Computer Science 2022-11-11 Ilan Shomorony , Reinhard Heckel

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 is an attractive medium for digital data storage. When data is stored on DNA, errors occur, which makes error-correcting coding techniques critical for reliable DNA data storage. To reduce the errors, a common technique is to include…

Information Theory · Computer Science 2024-06-27 Franziska Weindel , Andreas L. Gimpel , Robert N. Grass , Reinhard Heckel

DNA-based storage is an emerging technology that enables digital information to be archived in DNA molecules. This method enjoys major advantages over magnetic and optical storage solutions such as exceptional information density, enhanced…

Information Theory · Computer Science 2024-03-13 Daniella Bar-Lev , Itai Orr , Omer Sabary , Tuvi Etzion , Eitan Yaakobi

Error-correcting codes over sets, with applications to DNA storage, are studied. The DNA-storage channel receives a set of sequences, and produces a corrupted version of the set, including sequence loss, symbol substitution, symbol…

Information Theory · Computer Science 2021-07-12 Hengjia Wei , Moshe Schwartz

Modern biological science produces vast amounts of genomic sequence data. This is fuelling the need for efficient algorithms for sequence compression and analysis. Data compression and the associated techniques coming from information…

Data Structures and Algorithms · Computer Science 2011-09-05 Heba Afify , Muhammad Islam , Manal Abdel Wahed

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 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

The problem of reconstructing strings from their substring spectra has a long history and in its most simple incarnation asks for determining under which conditions the spectrum uniquely determines the string. We study the problem of coded…

Information Theory · Computer Science 2019-04-24 Ryan Gabrys , Olgica Milenkovic

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

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

In this work, we investigate a challenging problem, which has been considered to be an important criterion in designing codewords for DNA computing purposes, namely secondary structure avoidance in single-stranded DNA molecules. In short,…

Information Theory · Computer Science 2023-02-28 Tuan Thanh Nguyen , Kui Cai , Han Mao Kiah , Duc Tu Dao , Kees A. Schouhamer Immink

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

In this paper we study the structure of specific linear codes called DNA codes. The first attempts on studying such codes have been proposed over four element rings which are naturally matched with DNA four letters. Later, double (pair) DNA…

Combinatorics · Mathematics 2017-03-31 Fatmanur Gürsoy , Elif Segah Oztas , Irfan Siap

The problem of string reconstruction from substring information has found many applications due to its relevance in DNA- and polymer-based data storage. One practically important and challenging paradigm requires reconstructing mixtures of…

Information Theory · Computer Science 2020-10-22 Ryan Gabrys , Srilakshmi Pattabiraman , Olgica Milenkovic

The design of large libraries of oligonucleotides having constant GC-content and satisfying Hamming distance constraints between oligonucleotides and their Watson-Crick complements is important in reducing hybridization errors in DNA…

Information Theory · Computer Science 2008-03-27 Yeow Meng Chee , San Ling

Motivated by applications in DNA-based storage, we study explicit encoding and decoding schemes of binary strings satisfying locally balanced constraints, where the $(\ell,\delta)$-locally balanced constraint requires that the weight of any…

Information Theory · Computer Science 2022-01-31 Chen Wang , Ziyang Lu , Zhaojun Lan , Gennian Ge , Yiwei Zhang

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

DNA code design aims to generate a set of DNA sequences (codewords) with minimum likelihood of undesired hybridizations among sequences and their reverse-complement (RC) pairs (cross-hybridization). Inspired by the distinct hybridization…

Information Theory · Computer Science 2020-05-15 Yixin Wang , Md Noor-A-Rahim , Erry Gunawan , Yong Liang Guan , Chueh Loo Poh

This paper concerns non-overlapping codes, block codes motivated by synchronisation and DNA-based storage applications. Most existing constructions of these codes do not account for the restrictions posed by the physical properties of…

Information Theory · Computer Science 2025-02-05 Lidija Stanovnik , Miha Moškon , Miha Mraz