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The problem of error-control in random linear network coding is considered. A ``noncoherent'' or ``channel oblivious'' model is assumed where neither transmitter nor receiver is assumed to have knowledge of the channel transfer…

Information Theory · Computer Science 2008-03-25 Ralf Koetter , Frank Kschischang

Motivated by applications in DNA-based storage, we introduce the new problem of code design in the Damerau metric. The Damerau metric is a generalization of the Levenshtein distance which, in addition to deletions, insertions and…

Information Theory · Computer Science 2018-05-02 Ryan Gabrys , Eitan Yaakobi , Olgica Milenkovic

Motivated by applications in in-vivo DNA storage, we study codes for correcting duplications. A reverse-complement duplication of length $k$ is the insertion of the reversed and complemented copy of a substring of length $k$ adjacent to its…

Information Theory · Computer Science 2026-02-03 Yubo Sun , Gennian Ge

The interest in channel models in which the data is sent as an unordered set of binary strings has increased lately, due to emerging applications in DNA storage, among others. In this paper we analyze the minimal redundancy of binary codes…

Information Theory · Computer Science 2019-10-29 Jin Sima , Netanel Raviv , Jehoshua Bruck

Due to its higher data density, longevity, energy efficiency, and ease of generating copies, DNA is considered a promising storage technology for satisfying future needs. However, a diverse set of errors including deletions, insertions,…

Information Theory · Computer Science 2022-08-05 Yuanyuan Tang , Shuche Wang , Hao Lou , Ryan Gabrys , Farzad Farnoud

Ternary channels can be used to model the behavior of some memory devices, where information is stored in three different levels. In this paper, error correcting coding for a ternary channel where some of the error transitions are not…

Information Theory · Computer Science 2011-05-31 Nicolas Bitouze , Alexandre Graell i Amat , Eirik Rosnes

Encoding data as a set of unordered strings is receiving great attention as it captures one of the basic features of DNA storage systems. However, the challenge of constructing optimal redundancy codes for this channel remained elusive. In…

Information Theory · Computer Science 2023-08-16 Jin Sima , Netanel Raviv , Jehoshua Bruck

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

DNA storage has emerged as an important area of research. The reliability of DNA storage system depends on designing the DNA strings (called DNA codes) that are sufficiently dissimilar. In this work, we introduce DNA codes that satisfy a…

Information Theory · Computer Science 2022-11-28 Krishna Gopal Benerjee , Sourav Deb , Manish K Gupta

The main obstacles for the practical deployment of DNA-based data storage platforms are the prohibitively high cost of synthetic DNA and the large number of errors introduced during synthesis. In particular, synthetic DNA products contain…

Image and Video Processing · Electrical Eng. & Systems 2021-01-26 Chao Pan , S. M. Hossein Tabatabaei Yazdi , S Kasra Tabatabaei , Alvaro G. Hernandez , Charles Schroeder , Olgica Milenkovic

DNA as a data storage medium has several advantages, including far greater data density compared to electronic media. We propose that schemes for data storage in the DNA of living organisms may benefit from studying the reconstruction…

Information Theory · Computer Science 2019-09-10 Yonatan Yehezkeally , Moshe Schwartz

Living in the age of the digital media explosion, the amount of data that is being stored increases dramatically. However, even if existing storage systems suggest efficiency in capacity, they are lacking in durability. Hard disks, flash,…

Image and Video Processing · Electrical Eng. & Systems 2019-04-08 Melpomeni Dimopoulou , Marc Antonini , Pascal Barbry , Raja Appuswamy

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

The problem of correcting deletions and insertions has recently received significantly increased attention due to the DNA-based data storage technology, which suffers from deletions and insertions with extremely high probability. In this…

Information Theory · Computer Science 2023-11-09 Tuan Thanh Nguyen , Kui Cai , Paul H. Siegel

Although the expenses associated with DNA sequencing have been rapidly decreasing, the current cost of sequencing information stands at roughly $120/GB, which is dramatically more expensive than reading from existing archival storage…

Discrete Mathematics · Computer Science 2023-11-30 Daniella Bar-Lev , Omer Sabary , Ryan Gabrys , Eitan Yaakobi

In coding theory, handling errors that occur when symbols are inserted or deleted from a transmitted message is a long-standing challenge. Optimising redundancy for insertion and deletion channels remains a key open problem with significant…

Information Theory · Computer Science 2026-02-02 Anamika Singh , Abhay Kumar Singh

The problem of coding for networks experiencing worst-case symbol errors is considered. We argue that this is a reasonable model for highly dynamic wireless network transmissions. We demonstrate that in this setup prior network…

Information Theory · Computer Science 2015-10-13 Qiwen Wang , Sidharth Jaggi

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

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

Regenerating codes allow distributed storage systems to recover from the loss of a storage node while transmitting the minimum possible amount of data across the network. We present a systematic computer search for optimal systematic…

Information Theory · Computer Science 2009-10-14 Daniel Cullina , Alexandros G. Dimakis , Tracey Ho
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