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
exaly +3 more sources
Quasi-Cyclic Codes Via Unfolded Cyclic Codes and Their Reversibility [PDF]
IEEE Access, 2019 The finite field $\mathbb {F}_{q^\ell }$ of $q^\ell $ elements contains $\mathbb {F}_{q}$ as a subfield. If $\theta \in \mathbb {F}_{q^\ell }$ is of degree $\ell $ over $\mathbb {F}_{q}$ , it can be used to unfold elements of $\mathbb {F}_{q^\
Ramy Taki Eldin, Hajime Matsui
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A Facile Eutectic Strategy for Scalable, Leakage‐Free Thermochromic Phase‐Change Composites Enabling Smart Temperature Labels and Secure Data Encryption [PDF]
Advanced ScienceSolid–liquid phase change materials (PCMs), when used as solvents in organic thermochromic composite systems, often suffer from leakage issues, which degrade their reversible color‐changing capability.
Shiliang Zhou +4 more
doaj +2 more sources
Incidence, causes and prognostic outcomes of acute coma: a nationwide population-based retrospective cohort study in Taiwan [PDF]
BMJ OpenObjectives Identifying the underlying cause of acute coma is crucial for improving outcomes in this time-sensitive medical emergency. This study aimed to explore the clinical characteristics, incidence, causes and outcomes of acute coma.Design A ...
Chih-Ching Liu +5 more
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Intentions and barriers to using long-acting reversible contraceptives among young women seeking safe abortion care in Addis Ababa, Ethiopia: a qualitative study [PDF]
BMC Public HealthBackground Long-acting reversible contraception (LARCs) including intrauterine devices and implants) are safe, highly effective, and recommended for adolescents, yet their use remains low.
Betelhem Simeneh Kabeto +2 more
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Construction of reversible cyclic codes over 𝔽q + u𝔽q + u2𝔽q
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 Let q be a power of prime p. In this article, we investigate the reversible cyclic codes of arbitrary length n over the ring R = 𝔽q +u𝔽q + u2𝔽q, where u3 = 0 mod q.
Rehman Nadeem ur +2 more
doaj +1 more source
Code Reverse Engineering Problem for Identification Codes [PDF]
IEEE Transactions on Information Theory, 2012 At ITW'10, Bringer et al. suggest to strengthen their previous identification protocol by extending the Code Reverse Engineering (CRE) problem to identification codes. We first extend security results by Tillich et al. on this very problem. We then prove the security of this protocol using information theoretical arguments.
Julien Bringer, Hervé Chabanne
openaire +2 more sources
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
doaj +1 more source
Design and Analysis of LT Codes With a Reverse Coding Framework [PDF]
IEEE Access, 2021 In this paper, an improved LT code with a reverse coding framework is designed to reduce the error floor caused by low-degree information nodes. For the proposed coding scheme, a well-designed threshold is used to mark the information nodes whose degrees are less than the threshold, and these nodes will be coded reversely to connect to enough candidate
Xin Song +4 more
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On Reversibility and Self-Duality for Some Classes of Quasi-Cyclic Codes
IEEE Access, 2020 In this work, we study two classes of quasi-cyclic (QC) codes and examine how several properties can be combined into the codes of these classes. We start with the class of QC codes generated by diagonal generator polynomial matrices; a QC code in this ...
Ramy Taki Eldin, Hajime Matsui
doaj +1 more source