Results 11 to 20 of about 171,824 (264)
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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Codes for DNA storage channels [PDF]
2015 IEEE Information Theory Workshop (ITW), 2015 32 pages, 5 ...
Han Mao Kiah +2 more
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Codes for DNA sequence profiles [PDF]
2015 IEEE International Symposium on Information Theory (ISIT), 2015 27 pages, 5 figures.
Han Mao Kiah +2 more
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Frontiers in Physics, 2021 Existing radiation codes for biomedical applications face the challenge of dealing with largely different spatial scales, from nanometer scales governing individual energy deposits to macroscopic scales of dose distributions in organs and tissues in ...
Pavel Kundrát +4 more
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Reversible $$G^k$$-codes with applications to DNA codes
Designs, Codes and Cryptography, 2022 In this paper, we give a matrix construction method for designing DNA codes that come from group matrix rings. We show that with our construction one can obtain reversible $G^k$-codes of length $kn,$ where $k, n \in \mathbb{N},$ over the finite commutative Frobenius ring $R.$ We employ our construction method to obtain many DNA codes over $\mathbb{F}_4$
Adrian Korban +2 more
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Malaya Journal of Matematik, 2023 In this paper, by using three different methods, the DNA codes are obtained from some codes over a family of the rings $D_{i}=D_{1}\left[ w_{2},...,w_{i}\right]/\left\langle w_{i}^{2}-w_{i},w_{i}w_{j}-w_{j}w_{i}\right\rangle $, where $% i=2,...,r,j=1,2,...r$ and $D_{1}=F_{2}+uF_{2}+w_{1}(F_{2}+uF_{2}),u^{2}=0,w_{1}^{2}=w_{1},uw_{1}=w_{1}u, F_{2}=\{0,1\}
null Abdullah DERTLI +1 more
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On cyclic DNA codes over the rings Z4 + wZ4 and Z4 + wZ4 + vZ4 + wvZ4
Biomath, 2017 The structures of cyclic DNA codes of odd length over the finite ringsВ R = Z4 + wZ4, w^2 = 2 and S = Z4 + wZ4 + vZ4 + wvZ4; w^2 = 2; v^2 =v; wv = vw are studied.
Abdullah Dertli, Yasemin Cengellenmis
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DNA Code from Cyclic and Skew Cyclic Codes over
Entropy, 2023 The main motivation of this work is to study and obtain some reversible and DNA codes of length n with better parameters. Here, we first investigate the structure of cyclic and skew cyclic codes over the chain ring R:=F4[v]/⟨v3⟩.
Om Prakash +4 more
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BRICS Report Series, 1998 We discuss a model for the evolutionary distance between two coding DNA sequences which specializes to the DNA/protein model proposed in Hein [3]. We discuss the DNA/protein model in details and present a quadratic time algorithm that computes an optimal alignment of two coding DNA sequences in the model under the assumption of affine gap cost.
Christian N. S. Pedersen +2 more
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Towards long double-stranded chains and robust DNA-based data storage using the random code system
Frontiers in Genetics, 2023 DNA has become a popular choice for next-generation storage media due to its high storage density and stability. As the storage medium of life’s information, DNA has significant storage capacity and low-cost, low-power replication and transcription ...
Xu Yang +5 more
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