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In order to provide high data reliability, distributed storage systems disperse data with redundancy to multiple storage nodes. Regenerating codes is a new class of erasure codes to introduce redundancy for the purpose of improving the data…

Information Theory · Computer Science 2015-03-18 Kenneth W. Shum , Yuchong Hu

In database design, Composite Keys are used to uniquely identify records and prevent data duplication. However, they require more memory and storage space than single keys, and can make queries more CPU-intensive. Surrogate Keys are an…

Databases · Computer Science 2023-06-08 Nicola Asuni

DNA codes have many applications, such as in data storage, DNA computing, etc. Good DNA codes have large sizes and satisfy some certain constraints. In this paper, we present a new construction method for reversible DNA codes. We show that…

Information Theory · Computer Science 2024-03-19 Xueyan Chen , Whan-Hyuk Choi , Hongwei Liu

Classical erasure codes, e.g. Reed-Solomon codes, have been acknowledged as an efficient alternative to plain replication to reduce the storage overhead in reliable distributed storage systems. Yet, such codes experience high overhead…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-20 Anne-Marie Kermarrec , Erwan Le Merrer , Gilles Straub , Alexandre van Kempen

In this paper, we investigate the optimum way to allocate redundancy of finite-length nested codes for modern nonvolatile memories suffering from both permanent defects and transient errors (erasures or random errors). A nested coding…

Information Theory · Computer Science 2018-10-30 Yongjune Kim , B. V. K. Vijaya Kumar

The biochemical processes underlying DNA data storage, including synthesis, amplification, and sequencing, are inherently noisy. Consequently, base-level insertion, deletion, and substitution (IDS) errors, as well as sequence-level…

Information Theory · Computer Science 2026-03-17 Ramy Khabbaz , Jérémy Mateos , Marc Antonini , Serge Kas Hanna

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

Oxidative DNA single strand breaks arise continuously in cells and defects in their repair have been implicated in neurological disease. While much progress has been made in understanding how chromosomal single strand breaks are repaired…

Subcellular Processes · Quantitative Biology 2012-02-03 Arman Nabatiyan , Zhihong Zeng , Keith W. Caldecott

Reconstruction codes are generalizations of error-correcting codes that can correct errors by a given number of noisy reads. The study of such codes was initiated by Levenshtein in 2001 and developed recently due to applications in modern…

Information Theory · Computer Science 2023-02-21 Zuo Ye , Xin Liu , Xiande Zhang , Gennian Ge

DNA-based data storage has been attracting significant attention due to its extremely high data storage density, low power consumption, and long duration compared to conventional data storage media. Despite the recent advancements in DNA…

Information Theory · Computer Science 2024-11-12 Yi Ding , Xuan He , Tuan Thanh Nguyen , Wentu Song , Zohar Yakhini , Eitan Yaakobi , Linqiang Pan , Xiaohu Tang , Kui Cai

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

As sensing and instrumentation play an increasingly important role in systems controlled over wired and wireless networks, the need to better understand delay-sensitive communication becomes a prime issue. Along these lines, this article…

Information Theory · Computer Science 2021-03-26 Anoosheh Heidarzadeh , Jean-Francois Chamberland , Parimal Parag , Richard D. Wesel

Channel coding alone is not sufficient to reliably transmit a message of finite length $K$ from a source to one or more destinations as in, e.g., file transfer. To ensure that no data is lost, it must be combined with rateless erasure…

Information Theory · Computer Science 2013-01-29 Christian Koller , Martin Haenggi , Joerg Kliewer , Daniel J. Costello

Several types of AL-FEC (Application-Level FEC) codes for the Packet Erasure Channel exist. Random Linear Codes (RLC), where redundancy packets consist of random linear combinations of source packets over a certain finite field, are a…

Information Theory · Computer Science 2014-08-26 Kazuhisa Matsuzono , Vincent Roca , Hitoshi Asaeda

In a distributed storage system, code symbols are dispersed across space in nodes or storage units as opposed to time. In settings such as that of a large data center, an important consideration is the efficient repair of a failed node.…

Information Theory · Computer Science 2018-06-13 S. B. Balaji , M. Nikhil Krishnan , Myna Vajha , Vinayak Ramkumar , Birenjith Sasidharan , P. Vijay Kumar

The problem of string reconstruction based on its substrings spectrum has received significant attention recently due to its applicability to DNA data storage and sequencing. In contrast to previous works, we consider in this paper a setup…

Information Theory · Computer Science 2022-05-11 Yonatan Yehezkeally , Sagi Marcovich , Eitan Yaakobi

We present a Compression Tool, "GenBit Compress", for genetic sequences based on our new proposed "GenBit Compress Algorithm". Our Tool achieves the best compression ratios for Entire Genome (DNA sequences) . Significantly better…

Mathematical Software · Computer Science 2010-07-15 P. Raja Rajeswari , Allam Apparo , V. K. Kumar

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

This paper presents a novel coding scheme for distributed storage systems containing nodes with adversarial errors. The key challenge in such systems is the propagation of erroneous data from a single corrupted node to the rest of the…

Information Theory · Computer Science 2012-07-17 Natalia Silberstein , Ankit Singh Rawat , Sriram Vishwanath

The recently proposed compressed backbone theory suggested that the intrinsic curvature in DNA can result from a geometric mismatch between the specific backbone length and optimal base stacking orientations. It predicted that the curvature…

Biomolecules · Quantitative Biology 2007-05-23 Dimitri E. Kamashev , Alexey K. Mazur
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