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Related papers: Codes for DNA Storage Channels

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Motivated by DNA based data storage system, we investigate the errors that occur when synthesizing DNA strands in parallel, where each strand is appended one nucleotide at a time by the machine according to a template supersequence. If…

Information Theory · Computer Science 2024-05-06 Ziyang Lu , Han Mao Kiah , Yiwei Zhang , Robert N. Grass , Eitan Yaakobi

We study permutations over the set of $\ell$-grams, that are feasible in the sense that there is a sequence whose $\ell$-gram frequency has the same ranking as the permutation. Codes, which are sets of feasible permutations, protect…

Information Theory · Computer Science 2021-01-18 Niv Beeri , Moshe Schwartz

Nanopore sequencing is an emerging DNA sequencing technology that has been proposed for use in DNA storage systems. We propose the noisy nanopore channel model for nanopore sequencing. This model captures duplications, inter-symbol…

Information Theory · Computer Science 2022-05-10 Brendon McBain , Emanuele Viterbo , James Saunderson

The sequence reconstruction problem, introduced by Levenshtein in 2001, considers a communication scenario where the sender transmits a codeword from some codebook and the receiver obtains multiple noisy reads of the codeword. The common…

Information Theory · Computer Science 2020-06-16 Kui Cai , Han Mao Kiah , Tuan Thanh Nguyen , Eitan Yaakobi

Motivated by applications to DNA storage, we study reconstruction and list-reconstruction schemes for integer vectors that suffer from limited-magnitude errors. We characterize the asymptotic size of the intersection of error balls in…

Information Theory · Computer Science 2021-08-24 Hengjia Wei , Moshe Schwartz

The study of correlation structure in the primary sequences of DNA is reviewed. The issues reviewed include: symmetries among 16 base-base correlation functions, accurate estimation of correlation measures, the relationship between $1/f$…

adap-org · Physics 2009-11-10 Wentian Li

We consider communication over a noisy network under randomized linear network coding. Possible error mechanism include node- or link- failures, Byzantine behavior of nodes, or an over-estimate of the network min-cut. Building on the work…

Information Theory · Computer Science 2007-11-27 Andrea Montanari , Ruediger Urbanke

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

This paper studies achievable rates of nanopore-based DNA storage when nanopore signals are decoded using a tractable channel model that does not rely on a basecalling algorithm. Specifically, the noisy nanopore channel (NNC) with the…

Information Theory · Computer Science 2025-08-13 Brendon McBain , Emanuele Viterbo

Sequencing by tunneling is a next-generation approach to read single-base information using electronic tunneling transverse to the single-stranded DNA (ssDNA) backbone while the latter is translocated through a narrow channel. The original…

Soft Condensed Matter · Physics 2015-09-23 P. Boynton , A. V. Balatsky , I. K. Schuller , M. Di Ventra

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 2023-09-15 Xavier Pic , Melpomeni Dimopoulou , Eva Gil San Antonio , Marc Antonini

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 analyze physical-layer security based on the premise that the coding mechanism for secrecy over noisy channels is tied to the notion of channel resolvability. Instead of considering capacity-based constructions, which associate to each…

Information Theory · Computer Science 2013-09-09 Matthieu R. Bloch , J. Nicholas Laneman

In the recent years, DNA has emerged as a potentially viable storage technology. DNA synthesis, which refers to the task of writing the data into DNA, is perhaps the most costly part of existing storage systems. Accordingly, this high cost…

Information Theory · Computer Science 2022-04-15 Ohad Elishco , Wasim Huleihel

Artificial synthesis of DNA molecules is an essential part of the study of biological mechanisms. The design of a synthetic DNA molecule usually involves many objectives. One of the important objectives is to eliminate short sequence…

Biomolecules · Quantitative Biology 2021-08-13 Zehavit Leibovich , Ilan Gronau

A common approach to quantifying DNA involves repeated cycles of DNA amplification. This approach, employed by the polymerase chain reaction (PCR), produces outputs that are corrupted by amplification noise, making it challenging to…

Quantitative Methods · Quantitative Biology 2023-01-06 Abdoelnaser M Degoot , Wilfred Ndifon

Researchers in the field of DNA-based chaotic cryptography have recently proposed a set of novel and efficient image encryption algorithms. In this paper, we present a comprehensive summary of those techniques, which are available in the…

Cryptography and Security · Computer Science 2015-05-08 Chiranjoy Chattopadhyay , Bikramjit Sarkar , Debaprasad Mukherjee

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

Labeling of DNA molecules is a fundamental technique for DNA visualization and analysis. This process was mathematically modeled in [1], where the received sequence indicates the positions of the used labels. In this work, we develop error…

Information Theory · Computer Science 2025-11-04 Dganit Hanania , Eitan Yaakobi

Motivated by communication channels in which the transmitted sequences are subject to random permutations, as well as by certain DNA storage systems, we study the error control problem in settings where the information is stored/transmitted…

Information Theory · Computer Science 2020-08-13 Mladen Kovačević , Vincent Y. F. Tan
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