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This paper introduces a new family of reconstruction codes which is motivated by applications in DNA data storage and sequencing. In such applications, DNA strands are sequenced by reading some subset of their substrings. While previous…

Information Theory · Computer Science 2022-05-10 Yonatan Yehezkeally , Daniella Bar-Lev , Sagi Marcovich , Eitan Yaakobi

Decoding sequences that stem from multiple transmissions of a codeword over an insertion, deletion, and substitution channel is a critical component of efficient deoxyribonucleic acid (DNA) data storage systems. In this paper, we consider a…

Information Theory · Computer Science 2020-10-30 Andreas Lenz , Issam Maarouf , Lorenz Welter , Antonia Wachter-Zeh , Eirik Rosnes , Alexandre Graell i Amat

Over the past years, the ever-growing trend on data storage demand, more specifically for "cold" data (i.e. rarely accessed), has motivated research for alternative systems of data storage. Because of its biochemical characteristics,…

Image and Video Processing · Electrical Eng. & Systems 2023-05-11 Xavier Pic , Eva Gil San Antonio , Melpomeni Dimopoulou , Marc Antonini

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

This paper presents a probabilistic approach for DNA sequence analysis. A DNA sequence consists of an arrangement of the four nucleotides A, C, T and G and different representation schemes are presented according to a probability measure…

Quantitative Methods · Quantitative Biology 2010-02-12 Amrita Priyam , B. M. Karan , G. Sahoo

This paper studies the haplotype assembly problem from an information theoretic perspective. A haplotype is a sequence of nucleotide bases on a chromosome, often conveniently represented by a binary string, that differ from the bases in the…

Information Theory · Computer Science 2014-05-13 Hongbo Si , Haris Vikalo , Sriram Vishwanath

Motivated by DNA data storage, we study the expected number of coded symbols drawn from a linear code until a desired information symbol can be decoded - the random access expectation. We focus on generator matrices with a type of symmetry,…

Information Theory · Computer Science 2026-05-19 Christoph Hofmeister , Rawad Bitar , Eitan Yaakobi

In this paper, fundamental limits in sequencing of a set of closely related DNA molecules are addressed. This problem is called pooled-DNA sequencing which encompasses many interesting problems such as haplotype phasing, metageomics, and…

Information Theory · Computer Science 2016-04-20 Amir Najafi , Damoun Nashta-ali , Seyed Abolfazl Motahari , Mehrdad Khani , Babak H. Khalaj , Hamid R. Rabiee

Encoding information in combinations of pre-synthesised deoxyribonucleic acid (DNA) strands (referred to as motifs) is an interesting approach to DNA storage that could potentially circumvent the prohibitive costs of…

Information Theory · Computer Science 2024-12-05 Roman Sokolovskii , Parv Agarwal , Luis Alberto Croquevielle , Zijian Zhou , Thomas Heinis

We investigate the possibility of encoding multiple solutions of a problem in a single chromosome. The best solution encoded in an individual will represent (will provide the fitness of) that individual. In order to obtain some benefits the…

Neural and Evolutionary Computing · Computer Science 2021-10-22 Mihai Oltean

Deoxyribonucleic acid (DNA) has shown great promise in enabling computational applications, most notably in the fields of DNA digital data storage and DNA computing. Information is encoded as DNA strands, which will naturally bind in…

Machine Learning · Computer Science 2021-10-22 David Buterez

Biological data mainly comprises of Deoxyribonucleic acid (DNA) and protein sequences. These are the biomolecules which are present in all cells of human beings. Due to the self-replicating property of DNA, it is a key constitute of genetic…

Other Quantitative Biology · Quantitative Biology 2020-06-04 Shakeela Bibi , Javed Iqbal , Adnan Iftekhar , Mir Hassan

The DNA storage channel is considered, in which the $M$ Deoxyribonucleic acid (DNA) molecules comprising each codeword are stored without order, sampled $N$ times with replacement, and then sequenced over a discrete memoryless channel. For…

Information Theory · Computer Science 2022-02-15 Nir Weinberger , Neri Merhav

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

Given a sequence composed of a limit number of characters, we try to "read" it as a "text". This involves to segment the sequence into "words". The difficulty is to distinguish good segmentation from enormous number of random ones.Aiming at…

Biological Physics · Physics 2009-11-06 Bin Wang

The fall of prices of the high-throughput genome sequencing changes the landscape of modern genomics. A number of large scale projects aimed at sequencing many human genomes are in progress. Genome sequencing also becomes an important aid…

Data Structures and Algorithms · Computer Science 2017-03-03 Sebastian Deorowicz , Agnieszka Danek , Marcin Niemiec

DNA has immense potential as an emerging data storage medium. The principle of DNA storage is the conversion and flow of digital information between binary code stream, quaternary base, and actual DNA fragments. This process will inevitably…

Information Retrieval · Computer Science 2022-10-21 Yun Qin , Fei Zhu , Bo Xi

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

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

This paper studies the problem of encoding messages into sequences which can be uniquely recovered from some noisy observations about their substrings. The observed reads comprise consecutive substrings with some given minimum overlap. This…

Information Theory · Computer Science 2023-12-11 Hengjia Wei , Moshe Schwartz , Gennian Ge