Results 1 to 10 of about 177,835 (162)
New DNA Codes from Cyclic Codes over Mixed Alphabets
Mathematics, 2020 Let R=F4+uF4,withu2=u and S=F4+uF4+vF4,withu2=u,v2=v,uv=vu=0. In this paper, we study F4RS-cyclic codes of block length (α,β,γ) and construct cyclic DNA codes from them. F4RS-cyclic codes can be viewed as S[x]-submodules of Fq[x]〈xα−1〉×R[x]〈xβ−1〉×S[x]〈xγ−
Hai Q. Dinh +3 more
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Bio-Constrained Codes with Neural Network for Density-Based DNA Data Storage
Mathematics, 2022 DNA has evolved as a cutting-edge medium for digital information storage due to its extremely high density and durable preservation to accommodate the data explosion. However, the strings of DNA are prone to errors during the hybridization process.
Abdur Rasool +3 more
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Mathematics, 2023 Let k,m be positive integers and F2m be a finite field of order 2m of characteristic 2. The primary goal of this paper is to study the structural properties of cyclic codes over the ring Sk=F2m[v1,v2,…,vk]⟨vi2−αivi,vivj−vjvi⟩, for i,j=1,2,3,…,k, where αi
Shakir Ali +3 more
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Linear constructions for DNA codes
Theoretical Computer Science, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Philippe Gaborit, Oliver D King
exaly +3 more sources
Intrinsic DNA codes govern distinct modes of nucleosome-transcription factor interactions [PDF]
Nature CommunicationsThe interplay between transcription factors (TFs) and nucleosomes is central to gene regulation, yet most studies adopt a protein-centric perspective that largely overlooks DNA sequence contributions.
Christopher W. Carson +6 more
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Trade-offs in model compression for sequencing data-carrying DNA [PDF]
Scientific ReportsDNA is a leading candidate as the next archival storage media due to its density, durability and sustainability. To read (and write) data DNA storage exploits technology that has been developed over decades to sequence naturally occurring DNA in the life
Jasmine Quah, Omer Sella, Thomas Heinis
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Error characterization and error correction approaches in combinatorial DNA-based storage [PDF]
Scientific ReportsData storage in DNA has recently emerged as a promising archival solution, offering space-efficient and long-lasting digital storage. DNA’s ultra-high density and durability make it an attractive medium for long-term data storage.
Inbal Preuss +5 more
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DNA codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 A one to one correspondence between the elements of a finite local Frobenius non-chain ring of length 5 and nilpotency index 4, and k-tuples of DNA codewords is established.
Castillo-Guillén C. A. +1 more
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Nature, 2003 The discovery of the structure of DNA transformed biology profoundly, catalysing the sequencing of the human genome and engendering a new view of biology as an information science. Two features of DNA structure account for much of its remarkable impact on science: its digital nature and its complementarity, whereby one strand of the helix binds ...
Leroy, Hood, David, Galas
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DNA Code Design Based on the Cosets of Codes over
Mathematics, 2023 DNA code design is a challenging problem, and it has received great attention in the literature due to its applications in DNA data storage, DNA origami, and DNA computing. The primary focus of this paper is in constructing new DNA codes using the cosets
Adel N. Alahmadi +2 more
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