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A permutation code is a nonlinear code whose codewords are permutation of a set of symbols. We consider the use of permutation code in the deletion channel, and consider the symbol-invariant error model, meaning that the values of the…

Information Theory · Computer Science 2024-11-14 Minhan Gao , Kenneth W. Shum

DNA-based storage has emerged as a promising alternative to traditional data storage methods, offering unmatched advantages in data density, longevity, and sustainability. Two main approaches have developed: in-vitro storage, where…

Information Theory · Computer Science 2026-04-29 Liav Koram , Ohad Elishco

DNA storage is now being considered as a new archival storage method for its durability and high information density, but still facing some challenges like high costs and low throughput. By reducing sequencing sample size for decoding…

Information Theory · Computer Science 2025-04-22 Ruiying Cao , Xin Chen

DNA data storage systems encode digital data into DNA strands, enabling dense and durable storage. Efficient data retrieval depends on coverage depth, a key performance metric. We study the random access coverage depth problem and focus on…

Information Theory · Computer Science 2025-07-29 Şeyma Bodur , Stefano Lia , Hiram H. López , Rati Ludhani , Alberto Ravagnani , Lisa Seccia

We consider error-correcting coding for deoxyribonucleic acid (DNA)-based storage using nanopore sequencing. We model the DNA storage channel as a sampling noise channel where the input data is chunked into $M$ short DNA strands, which are…

Information Theory · Computer Science 2024-06-21 Lorenz Welter , Roman Sokolovskii , Thomas Heinis , Antonia Wachter-Zeh , Eirik Rosnes , Alexandre Graell i Amat

With the progressive scale-down of semiconductor's feature size, people are looking forward to More Moore and More than Moore. In order to offer a possible alternative implementation process, people are trying to figure out a feasible…

Emerging Technologies · Computer Science 2018-07-06 Chuan Zhang , Lulu Ge , Yuchen Zhuang , Ziyuan Shen , Zhiwei Zhong , Zaichen Zhang , Xiaohu You

Several technological applications require the translation of a protein into a nucleic acid that codes for it (``backtranslation''). The degeneracy of the genetic code makes this translation ambiguous; moreover, not every translation is…

Biological Physics · Physics 2007-05-23 Andres Moreira

The rank modulation scheme has been proposed for efficient writing and storing data in non-volatile memory storage. Error-correction in the rank modulation scheme is done by considering permutation codes. In this paper we consider codes in…

Information Theory · Computer Science 2014-04-22 Sarit Buzaglo , Tuvi Etzion

Despite their high accuracy, complex neural networks demand significant computational resources, posing challenges for deployment on resource constrained devices such as mobile phones and embedded systems. Compression algorithms have been…

Machine Learning · Computer Science 2025-09-23 Ali Aghababaei-Harandi , Massih-Reza Amini

Gene regulation is a complex process involving the role of several genomic elements which work in concert to drive spatio-temporal expression. The experimental characterization of gene regulatory elements is a very complex and…

Genomics · Quantitative Biology 2007-10-11 Arvind Rao , Alfred O. Hero , David J. States , James Douglas Engel

In this paper, we study error exponents for a concatataned coding based class of DNA storage codes in which the number of reads performed can be variable. That is, the decoder can sequentially perform reads and choose whether to output the…

Information Theory · Computer Science 2025-04-25 Yan Hao Ling , Nir Weinberger , Jonathan Scarlett

Because of its high data density and longevity, DNA is emerging as a promising candidate for satisfying increasing data storage needs. Compared to conventional storage media, however, data stored in DNA is subject to a wider range of errors…

Information Theory · Computer Science 2020-08-20 Yuanyuan Tang , Farzad Farnoud

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

Background Nucleotide sequences contain multiple codes responsible for organism's functioning and structure. They can be investigated by various signal processing methods. These techniques are well suited for indication of frequently…

Quantitative Methods · Quantitative Biology 2007-05-23 Simon Kogan

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

As the global need for large-scale data storage is rising exponentially, existing storage technologies are approaching their theoretical and functional limits in terms of density and energy consumption, making DNA based storage a potential…

Emerging Technologies · Computer Science 2021-10-12 Yotam Nahum , Eyar Ben-Tolila , Leon Anavy

The problem of string reconstruction from substring information has found many applications due to its relevance in DNA- and polymer-based data storage. One practically important and challenging paradigm requires reconstructing mixtures of…

Information Theory · Computer Science 2020-10-22 Ryan Gabrys , Srilakshmi Pattabiraman , Olgica Milenkovic

Neural compression algorithms are typically based on autoencoders that require specialized encoder and decoder architectures for different data modalities. In this paper, we propose COIN++, a neural compression framework that seamlessly…

Machine Learning · Computer Science 2022-12-09 Emilien Dupont , Hrushikesh Loya , Milad Alizadeh , Adam Goliński , Yee Whye Teh , Arnaud Doucet

Neuro-encoded expression programming(NEEP) that aims to offer a novel continuous representation of combinatorial encoding for genetic programming methods is proposed in this paper. Genetic programming with linear representation uses…

Neural and Evolutionary Computing · Computer Science 2021-04-12 Aftab Anjum , Fengyang Sun , Lin Wang , Jeff Orchard

A method to construct and count all the linear codes (of arbitrary length) in $\mathbb{F}_{4}$ that are invariant under reverse permutation and that contain the repetition code is presented. These codes are suitable for constructing DNA…

Information Theory · Computer Science 2025-06-25 E. J. García-Claro