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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

This work presents a theoretical analysis of the probability of successfully retrieving data encoded with MDS codes (e.g., Reed-Solomon codes) in DNA storage systems. We study this probability under independent and identically distributed…

Information Theory · Computer Science 2026-05-08 Serge Kas Hanna

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

The repeat content and heterozygosity rate of a target genome are important factors in determining the feasibility of achieving a complete telomere-to-telomere assembly. The mathematical relationship between the required coverage and read…

Information Theory · Computer Science 2025-04-08 Daanish Mahajan , Chirag Jain , Navin Kashyap

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

In this paper, we present a novel design strategy of DNA codes with length $3n$ over the non-chain ring $R=\mathbb{Z}_4+u\mathbb{Z}_4+u^2\mathbb{Z}_4$ with $64$ elements and $u^3=1$, where $n$ denotes the length of a code over $R$. We first…

Information Theory · Computer Science 2022-11-28 Shibsankar Das , Krishna Gopal Benerjee , Adrish Banerjee

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

The yearly global production of data is growing exponentially, outpacing the capacity of existing storage media, such as tape and disk, and surpassing our ability to store it. DNA storage - the representation of arbitrary information as…

Quantitative Methods · Quantitative Biology 2023-10-04 Thomas Heinis , Roman Sokolovskii , Jamie J. Alnasir

The sequence reconstruction problem, introduced by Levenshtein in 2001, considers a scenario where the sender transmits a codeword from some codebook, and the receiver obtains $N$ noisy outputs of the codeword. We study the problem of…

Information Theory · Computer Science 2024-03-13 Shubhransh Singhvi , Roni Con , Han Mao Kiah , Eitan Yaakobi

We consider the problem of reconstructing graphs or labeled graphs from neighborhoods of a given radius r. Special instances of this problem include the well known: DNA shotgun assembly; the lesser-known: neural network reconstruction; and…

Probability · Mathematics 2022-08-19 Elchanan Mossel , Nathan Ross

The genetic code is the function from the set of codons to the set of amino acids by which a DNA sequence encodes proteins. Since the codons also influence the shape of the DNA molecule itself, the same sequence that encodes a protein also…

Other Quantitative Biology · Quantitative Biology 2020-03-04 Alex Kasman , Brenton LeMesurier

Due to its longevity and enormous information density, DNA is an attractive medium for archival storage. In this work, we study the fundamental limits and trade-offs of DNA-based storage systems by introducing a new channel model, which we…

Information Theory · Computer Science 2020-01-20 Ilan Shomorony , Reinhard Heckel

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

The biggest challenge when using DNA as a storage medium is maintaining its stability. The relative occurrence of Guanine (G) and Cytosine (C) is essential for the longevity of DNA. In addition to that, reverse complementary base pairs…

Information Theory · Computer Science 2023-08-03 NallappaBhavithran G , Selvakumar R

As a medium for cold data storage, DNA stands out as it promises significant gains in storage capacity and lifetime. However, it comes with its own data processing challenges to overcome. Constrained codes over the DNA alphabet…

Information Theory · Computer Science 2025-10-08 Canberk İrimağzı , Ahmed Hareedy

We describe properties and constructions of constraint-based codes for DNA-based data storage which account for the maximum repetition length and AT/GC balance. We present algorithms for computing the number of sequences with maximum…

Information Theory · Computer Science 2018-12-18 Kees A. Schouhamer Immink , Kui Cai

DNA sequences are prone to creating secondary structures by folding back on themselves by non-specific hybridization among its nucleotides. The formation of secondary structures makes the sequences chemically inactive towards synthesis and…

Information Theory · Computer Science 2022-11-30 Siddhartha Siddhiprada Bhoi , Paramapalli Udaya , Abhay Kumar Singh

We investigate the fundamental limits of the recently proposed random access coverage depth problem for DNA data storage. Under this paradigm, it is assumed that the user information consists of $k$ information strands, which are encoded…

Information Theory · Computer Science 2025-09-25 Anina Gruica , Daniella Bar-Lev , Alberto Ravagnani , Eitan Yaakobi

The paper explores a novel methodology in source code obfuscation through the application of text-based recurrent neural network (RNN) encoder-decoder models in ciphertext generation and key generation. Sequence-to-sequence models are…

Cryptography and Security · Computer Science 2021-02-26 Siddhartha Datta

Ever since deoxyribonucleic acid (DNA) was considered as a next-generation data-storage medium, lots of research efforts have been made to correct errors occurred during the synthesis, storage, and sequencing processes using error…

Information Theory · Computer Science 2023-06-14 Jaeho Jeong , Hosung Park , Hee-Youl Kwak , Jong-Seon No , Hahyeon Jeon , Jeong Wook Lee , Jae-Won Kim
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