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Mehmet ¨ Ozen,Minjia Shi,Vedat S¸iap 대한수학회 2015 대한수학회보 Vol.52 No.3
This paper is devoted to presenting a MacWilliams type identity for m-spotty RT weight enumerators of byte error control codes over finite commutative Frobenius rings, which can be used to determine the error-detecting and error-correcting capabilities of a code. This provides the relation between the m-spotty RT weight enumerator of the code and that of the dual code. We conclude the paper by giving three illustrations of the results.
Ozen, Mehmet,Shi, Minjia,Siap, Vedat Korean Mathematical Society 2015 대한수학회보 Vol.52 No.3
This paper is devoted to presenting a MacWilliams type identity for m-spotty RT weight enumerators of byte error control codes over finite commutative Frobenius rings, which can be used to determine the error-detecting and error-correcting capabilities of a code. This provides the relation between the m-spotty RT weight enumerator of the code and that of the dual code. We conclude the paper by giving three illustrations of the results.
ONE GENERATOR QUASI-CYCLIC CODES OVER F2 + vF2
Mehmet Ozen,N. Tugba Ozzaim,NUH AYDIN 한국전산응용수학회 2018 Journal of applied mathematics & informatics Vol.36 No.5
In this paper, we investigate quasi-cyclic codes over the ring R = F2 + vF2, where v2 = v: We investigate the structure of generators for one-generator quasi-cyclic codes over R and their minimal spanning sets. Moreover, we nd the rank and a lower bound on minimum distances of free quasi-cyclic codes over R. Further, we nd a relationship between cyclic codes over a dierent ring and quasi-cyclic codes of index 2 over R.
ONE GENERATOR QUASI-CYCLIC CODES OVER 𝔽<sub>2</sub> + v𝔽<sub>2</sub>
OZEN, MEHMET,OZZAIM, N. TUGBA,AYDIN, NUH The Korean Society for Computational and Applied M 2018 Journal of applied mathematics & informatics Vol.36 No.5
In this paper, we investigate quasi-cyclic codes over the ring $R={\mathbb{F}}_2+v{\mathbb{F}}_2$, where $v^2=v$. We investigate the structure of generators for one-generator quasi-cyclic codes over R and their minimal spanning sets. Moreover, we find the rank and a lower bound on minimum distances of free quasi-cyclic codes over R. Further, we find a relationship between cyclic codes over a different ring and quasi-cyclic codes of index 2 over R.
QUANTUM CODES FROM CYCLIC CODES OVER F<sub>4</sub> + vF<sub>4</sub>
OZEN, MEHMET,ERTUNC, FAIK CEM,INCE, HALIT The Korean Society for Computational and Applied M 2016 Journal of applied mathematics & informatics Vol.34 No.5
In this work, a method is given to construct quantum codes from cyclic codes over F<sub>4</sub> + vF<sub>4</sub> which will be denoted as R throughout the paper, where v<sup>2</sup> = v and a Gray map is defined between R and where F<sub>4</sub> is the field with 4 elements. Some optimal quantum code parameters and others will be presented at the end of the paper.
Quantum Codes from Cyclic Codes over $F_4 + vF_4$
Mehmet Ozen,Faik Cem Ertunc,Halit Ince 한국전산응용수학회 2016 Journal of applied mathematics & informatics Vol.34 No.5
In this work, a method is given to construct quantum codes from cyclic codes over $ F_4 + vF_4$ which will be denoted as $R$ throughout the paper, where $v^2 = v$ and a Gray map is defined between $R$ and $F_4^2$, where $F_4$ is the field with $4$ elements. Some optimal quantum code parameters and others will be presented at the end of the paper.
Derya Ustuner,Umut Kerem Kolac,Mehmet Cengiz Ustuner,Cihan Tanrikut,Zeynep Ozdemir Koroglu,Dilek Burukoglu Donmez,Hulya Ozen,Hilmi Ozden 한국식품영양과학회 2020 Journal of medicinal food Vol.23 No.11
Hepatic fibrosis emerges upon exposure of liver to various chemicals and if not treated, it develops various diseases such as cirrhosis and cancer. Carbon tetrachloride (CCl4) is a widely used toxin in animal models to develop hepatic fibrosis. Accumulation of unfolded proteins in cells causes stress in the endoplasmic reticulum (ER) and various mechanisms are involved in the cell to reduce the damage caused by these unfolding proteins. The most well known of these is the unfolded protein response. Further, autophagy works to remove these proteins if the damage cannot be repaired and is permanent. In our study, we investigated the effects of naringenin (NRG), a flavanon abundant in citrus fruits, on ER stress and autophagy in CCl4-injured rat liver. The animals were given 0.2 mL/kg of CCl4 for 10 days and treatment group was administered 100 mg/kg of NRG for 14 days. Histopathological examination was performed to show liver damage and to determine the therapeutic properties of the active substance. Transmission electron microscopy (TEM) analysis was carried out to establish cell level damage and effect of treatment. In addition, levels of ER stress and autophagy markers of liver were measured. According to our findings, TEM demonstrated positive effect of NRG and histological examinations reported ameliorative effects. In addition, NRG reduced levels of ER stress markers and inhibited autophagy significantly compared to CCl4-treated group. As a result, NRG significantly reduced damage in hepatocytes and provided a significant amelioration.