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In this paper we study the structure of specific linear codes called DNA codes. The first attempts on studying such codes have been proposed over four element rings which are naturally matched with DNA four letters. Later, double (pair) DNA…

Combinatorics · Mathematics 2017-03-31 Fatmanur Gürsoy , Elif Segah Oztas , Irfan Siap

Biomolecular computation has emerged as an important area of computer science research due to its high information density, immense parallelism opportunity along with potential applications in cryptography, genetic engineering and…

Formal Languages and Automata Theory · Computer Science 2022-06-07 Anupam Chattopadhyay , Arnab Chakrabarti

In DNA-based data storage, DNA codes with biochemical constraints and error correction are designed to protect data reliability. Single-stranded DNA sequences with secondary structure avoidance (SSA) help to avoid undesirable secondary…

Information Theory · Computer Science 2023-07-04 Shu Liu , Chaoping Xing , Yaqian Zhang

Motivated by the study of genome rearrangements, the NP-hard Minimum Common String Partition problems asks, given two strings, to split both strings into an identical set of blocks. We consider an extension of this problem to unbalanced…

Data Structures and Algorithms · Computer Science 2013-08-02 Laurent Bulteau , Guillaume Fertin , Christian Komusiewicz , Irena Rusu

String barcoding is a recently introduced technique for genomic-based identification of microorganisms. In this paper we describe the engineering of highly scalable algorithms for robust string barcoding. Our methods enable distinguisher…

Data Structures and Algorithms · Computer Science 2016-08-31 Bhaskar DasGupta , Kishori M. Konwar , Ion I. Mandoiu , Alex A. Shvartsman

In this paper, we study the Random Access Problem in DNA storage, which addresses the challenge of retrieving a specific information strand from a DNA-based storage system. In this framework, the data is represented by $k$ information…

Information Theory · Computer Science 2025-08-26 Avital Boruchovsky , Ohad Elishco , Ryan Gabrys , Anina Gruica , Itzhak Tamo , Eitan Yaakobi

Data storage in DNA is developing as a possible solution for archival digital data. Recently, to further increase the potential capacity of DNA-based data storage systems, the combinatorial composite DNA synthesis method was suggested. This…

Information Theory · Computer Science 2024-05-28 Omer Sabary , Inbal Preuss , Ryan Gabrys , Zohar Yakhini , Leon Anavy , Eitan Yaakobi

The aim of this thesis is to determine classes of NP relations for which random generation and approximate counting problems admit an efficient solution. Since efficient rank implies efficient random generation, we first investigate some…

Computational Complexity · Computer Science 2010-12-15 Massimo Santini

We study the new problem of Huffman-like codes subject to individual restrictions on the code-word lengths of a subset of the source words. These are prefix codes with minimal expected code-word length for a random source where additionally…

Information Theory · Computer Science 2007-07-13 Paul M. B. Vitanyi , Zvi Lotker

DNA is not only the genetic material of life, but also a favorable material for a new computing model. Various research works based on DNA computing have been carried out in recent years. DNA sequence design is the foundation of such…

Emerging Technologies · Computer Science 2023-11-10 Yao Yao , Xun Zhang , Xin Liu , Yuan Liu , Xiaokang Zhang , Qiang Zhang

To increase the information capacity of DNA storage, composite DNA letters were introduced. We propose a novel channel model for composite DNA in which composite sequences are decomposed into ordered standard non-composite sequences. The…

Information Theory · Computer Science 2025-10-31 Besart Dollma , Ohad Elishco , Eitan Yaakobi

The current investigations on hyper-heuristics design have sprung up in two different flavours: heuristics that choose heuristics and heuristics that generate heuristics. In the latter, the goal is to develop a problem-domain independent…

Artificial Intelligence · Computer Science 2010-06-10 German Terrazas , Dario Landa-Silva , Natalio Krasnogor

The problem of constructing optimal factoring automata arises in the context of unification factoring for the efficient execution of logic programs. Given an ordered set of $n$ strings of length $m$, the problem is to construct a trie-like…

Data Structures and Algorithms · Computer Science 2024-04-04 Thomas Erlebach , Kleitos Papadopoulos

We study algorithms for solving the problem of constructing a text (long string) from a dictionary (sequence of small strings). The problem has an application in bioinformatics and has a connection with the Sequence assembly method for…

Data Structures and Algorithms · Computer Science 2020-06-01 Kamil Khadiev , Vladislav Remidovskii

We derive theoretical upper and lower bounds on the maximum size of DNA codes of length n with constant GC-content w and minimum Hamming distance d, both with and without the additional constraint that the minimum Hamming distance between…

Combinatorics · Mathematics 2007-05-23 Oliver D. King

We study the amount of reliable information that can be stored in a DNA-based storage system composed of short DNA molecules. In this regime, Shomorony and Heckel (2022) put forward a conjecture on the scaling of the number of information…

Information Theory · Computer Science 2025-11-19 Ran Tamir , Nir Weinberger , Albert Guillén i Fàbregas

Several biological problems require the identification of regions in a sequence where some feature occurs within a target density range: examples including the location of GC-rich regions, identification of CpG islands, and sequence…

Data Structures and Algorithms · Computer Science 2013-08-15 Benjamin A. Burton , Mathias Hiron

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

Effective and reliable data retrieval is critical for the feasibility of DNA storage, and the development of random access efficiency plays a key role in its practicality and reliability. In this paper, we study the Random Access Problem,…

Information Theory · Computer Science 2025-10-10 Anina Gruica , Maria Montanucci , Ferdinando Zullo

Recent advances in deep neural language models combined with the capacity of large scale datasets have accelerated the development of natural language generation systems that produce fluent and coherent texts (to various degrees of success)…

Computation and Language · Computer Science 2025-04-15 Cristina Garbacea , Qiaozhu Mei
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