On self-dual and LCD quasi-twisted codes of index two over a special chain ring
Sign Up to like & getrecommendations! Published in 2018 at "Cryptography and Communications"
DOI: 10.1007/s12095-018-0322-5
Abstract: Let q be a prime power, and let ????q$\mathbb {F}_{q}$ denote the finite field of order q. Consider the chain ring Rk=????q[u]/〈uk〉$R_{k}=\mathbb {F}_{q}[u]/\langle u^{k}\rangle $ with k ≥ 1 an integer. We study self-dual and LCD… read more here.
Keywords: quasi twisted; dual lcd; self dual; lcd quasi ... See more keywords
Polyadic constacyclic codes over a non-chain ring $$\mathbb {F}_{q}[u,v]/\langle f(u),g(v), uv-vu\rangle $$
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-019-01290-x
Abstract: Let f(u) and g(v) be two polynomials, not both linear, which split into distinct linear factors over \(\mathbb {F}_{q}\). Let \(\mathcal {R}=\mathbb {F}_{q}[u,v]/ \langle f(u),g(v),uv-vu\rangle \) be a finite commutative non-chain ring. In this paper,… read more here.
Keywords: non chain; langle rangle; constacyclic codes; mathbb langle ... See more keywords
Chain-ring covalently interconnected cellulose nanofiber/MWCNT aerogel for supercapacitors and sensors.
Sign Up to like & getrecommendations! Published in 2022 at "Nanoscale"
DOI: 10.1039/d2nr00030j
Abstract: Bending multi-walled carbon nanotubes (MWCNTs) into rings and structuring them into aerogels is difficult. In this study, cellulose nanofiber (CNF)-MWCNT composite fibers with chain-ring structures were prepared by covalently interconnecting carboxylated CNF and aminated MWCNT… read more here.
Keywords: covalently interconnected; cellulose nanofiber; mwcnt; supercapacitors sensors ... See more keywords
Skew Constacyclic Codes over a Non-Chain Ring
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DOI: 10.3390/e25030525
Abstract: In this paper, we investigate the algebraic structure of the non-local ring Rq=Fq[v]/〈v2+1〉 and identify the automorphisms of this ring to study the algebraic structure of the skew constacyclic codes and their duals over this… read more here.
Keywords: skew constacyclic; codes non; non chain; entanglement ... See more keywords
Synthesis, CYP24A1-Dependent Metabolism and Antiproliferative Potential against Colorectal Cancer Cells of 1,25-Dihydroxyvitamin D2 Derivatives Modified at the Side Chain and the A-Ring
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Molecular Sciences"
DOI: 10.3390/ijms21020642
Abstract: Experimental data indicate that low-calcemic vitamin D derivatives (VDDs) exhibit anticancer properties, both in vitro and in vivo. In our search for a vitamin D analog as potential anticancer agent, we investigated the influence of… read more here.
Keywords: side chain; colorectal cancer; cyp24a1 dependent; side ... See more keywords
Asymmetric Cryptosystem on Matrix Algebra over a Chain Ring
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DOI: 10.3390/sym13010045
Abstract: The revolutionary idea of asymmetric cryptography brings a fundamental change to our modern communication system. However, advances in quantum computers endanger the security of many asymmetric cryptosystems based on the hardness of factoring and discrete… read more here.
Keywords: chain; matrix algebra; algebra chain; cryptosystem ... See more keywords