ONE-HOMOGENEOUS WEIGHT CODES OVER FINITE CHAIN RINGS

Mustafa Sari,Irfan Siap,Vedat Siap 대한수학회 2015 대한수학회보 Vol.52 No.6

This paper determines the structures of one-homogeneous weight codes over finite chain rings and studies the algebraic properties of these codes. We present explicit constructions of one-homogeneous weight codes over finite chain rings. By taking advantage of the distance- preserving Gray map defined in [7] from the finite chain ring to its residue field, we obtain a family of optimal one-Hamming weight codes over the residue field. Further, we propose a generalized method that also includes the examples of optimal codes obtained by Shi et al. in [17].

ONE-HOMOGENEOUS WEIGHT CODES OVER FINITE CHAIN RINGS

SARI, MUSTAFA,SIAP, IRFAN,SIAP, VEDAT Korean Mathematical Society 2015 대한수학회보 Vol.52 No.6

This paper determines the structures of one-homogeneous weight codes over finite chain rings and studies the algebraic properties of these codes. We present explicit constructions of one-homogeneous weight codes over finite chain rings. By taking advantage of the distance-preserving Gray map defined in [7] from the finite chain ring to its residue field, we obtain a family of optimal one-Hamming weight codes over the residue field. Further, we propose a generalized method that also includes the examples of optimal codes obtained by Shi et al. in [17].

ON QUANTUM CODES FROM CYCLIC CODES OVER A CLASS OF NONCHAIN RINGS

Sari, Mustafa,Siap, Irfan Korean Mathematical Society 2016 대한수학회보 Vol.53 No.6

In this paper, we extend the results given in [3] to a nonchain ring $R_p={\mathbb{F}}_p+v{\mathbb{F}}_p+{\cdots}+v^{p-1}{\mathbb{F}}_p$, where $v^p=v$ and p is a prime. We determine the structure of the cyclic codes of arbitrary length over the ring $R_p$ and study the structure of their duals. We classify cyclic codes containing their duals over $R_p$ by giving necessary and sufficient conditions. Further, by taking advantage of the Gray map ${\pi}$ defined in [4], we give the parameters of the quantum codes of length pn over ${\mathbb{F}}_p$ which are obtained from cyclic codes over $R_p$. Finally, we illustrate the results by giving some examples.

On quantum codes from cyclic codes over a class of nonchain rings

Mustafa Sari,Irfan Siap 대한수학회 2016 대한수학회보 Vol.53 No.6

In this paper, we extend the results given in \cite{2.5} to a nonchain ring $R_p={\mathbb{F}_p} + v{\mathbb{F}_p} + \cdots + {v^{p - 1}}{\mathbb{F}_p}$, where ${v^p} = v$ and $p$ is a prime. We determine the structure of the cyclic codes of arbitrary length over the ring $R_p$ and study the structure of their duals. We classify cyclic codes containing their duals over $R_p$ by giving necessary and sufficient conditions. Further, by taking advantage of the Gray map $\pi$ defined in \cite{2.7}, we give the parameters of the quantum codes of length $pn$ over $\mathbb{F}_p$ which are obtained from cyclic codes over $R_p.$ Finally, we illustrate the results by giving some examples.

QUANTUM CODES WITH IMPROVED MINIMUM DISTANCE

Kolotoglu, Emre,Sari, Mustafa Korean Mathematical Society 2019 대한수학회보 Vol.56 No.3

The methods for constructing quantum codes is not always sufficient by itself. Also, the constructed quantum codes as in the classical coding theory have to enjoy a quality of its parameters that play a very important role in recovering data efficiently. In a very recent study quantum construction and examples of quantum codes over a finite field of order q are presented by La Garcia in [14]. Being inspired by La Garcia's the paper, here we extend the results over a finite field with $q^2$ elements by studying necessary and sufficient conditions for constructions quantum codes over this field. We determine a criteria for the existence of $q^2$-cyclotomic cosets containing at least three elements and present a construction method for quantum maximum-distance separable (MDS) codes. Moreover, we derive a way to construct quantum codes and show that this construction method leads to quantum codes with better parameters than the ones in [14].

Quantum codes with improved minimum distance

Emre Kolotouglu,Mustafa Sari 대한수학회 2019 대한수학회보 Vol.56 No.3

The methods for constructing quantum codes is not always sufficient by itself. Also, the constructed quantum codes as in the classical coding theory have to enjoy a quality of its parameters that play a very important role in recovering data efficiently. In a very recent study quantum construction and examples of quantum codes over a finite field of order $q$ are presented by La Garcia in \cite{Guardia}. Being inspired by La Garcia's the paper, here we extend the results over a finite field with $q^2$ elements by studying necessary and sufficient conditions for constructions quantum codes over this field. We determine a criteria for the existence of $q^2$-cyclotomic cosets containing at least three elements and present a construction method for quantum maximum-distance separable (MDS) codes. Moreover, we derive a way to construct quantum codes and show that this construction method leads to quantum codes with better parameters than the ones in \cite{Guardia}.

Unroofed Coronary Sinus Atrial Septal Defect Misdiagnosed as Ostium Primum Defect

Semi Ozturk,Gunduz Durmus,Muhsin Kalyoncuoglu,Mustafa Sari,Ozlem Ozbek,Mehmet Can 대한심장학회 2018 Korean Circulation Journal Vol.48 No.1

Evaluation of Bone Density Measurement in Type 2 Diabetic Postmenopausal Women with Hypertension and Hyperlipidemia

( Emel Kiyak Caglayan ),( Yaprak Engin Ustun ),( Nagihan Sari ),( Seyhan Karacavus ),( Levent Seckin ),( Mustafa Kara ) 대한폐경학회 2015 대한폐경학회지 Vol.21 No.1

Objectives: The aim of the study was to compare bone mineral density (BMD) in healthy postmenopausal women to BMD in type 2 diabetic hypertensive postmenopausal women with hyperlipidemia. Methods: Fifty type 2 diabetic and hypertensive postmenopausal women with hyperlipidemia and 51 age and body mass index (BMI) matched healthy postmenopausal women were included. Lumbar spine and femoral neck BMD were noted in both groups. BMD was measured using dual energy X-ray absorptiometry (DXA). Serum alkaline phosphatase (ALP), calcium and phosphorous were also measured. Pearson correlation coefficients were used to establish the relationship between various clinical characteristics. Results: There were no significant differences between two groups in respect to lumbar and vertebral BMD values, age, BMI, gravidity, parity. Serum cholesterol and fasting glucose levels were significantly different between each groups (P = 0.0001, P = 0.002). Conclusion: We found that, accompanying chronic diseases such as diabetes, hypertension and hyperlipidemia don’t affect the BMD measurements at postmenopausal period. So these postmenopausal women don’t have excess risk regarding osteoporosis. (J Menopausal Med 2015;21:36-40)

Clinicopathologic Characteristics and Therapeutic Outcomes of Primary Gastrointestinal Non-Hodgkin's Lymphomas in Central Anatolia, in Turkey

Bulent Eser,Bunyamin Kaplan,Ali Unal,Ozlem Canoz,Fevzi Altuntas,H. Ismail. Sari,Ozlem Er,Metin Ozkan,Can Kucuk,Makbule Arar,Sebnem Gursoy,Mustafa Cetin 연세대학교의과대학 2006 Yonsei medical journal Vol.47 No.1

We carried out a retrospective analysis of 74 patients who were presented to our center with histopathological diagnosis of primary gastro-intestinal non-Hodgkin's lymphoma between 1990 and 2001. All patients have been staged according to Lugano Staging System. For histopathological classification, International Working Formulation was applied. The treatment choice concerning the surgical or non-surgical management was decided by the initially acting physician. Treatment modalities were compared using the parameters of age, sex, histopathological results, stage, and the site of disease. Of the 74 patients, 31 werefemale and 43 were male, with a median age of 49 years (range 15-80). The stomach was the most common primary site and was seenin 51 of 74 patients (68.9%). The intermediate and high grade lymphomas constituted 91.9% of the all cases. In a median follow-up of 29 months (range 2-128), 20 out of 74 patients died. There was a three year overall survival rate in 65.4% of all patients. The three year overall survival rate was better in stage I and II1 patients who were treated with surgery plus chemotherapy (+/-RT) than those treated with chemotherapy alone (93.7% vs. 55.6%, p 0.05). The stage and presence of B symptoms affected the disease free survival and overall survival significantly, but the histopathologic grade only affected the overall survival. On the basis of these results, we suggest that surgicalresection is necessary before chemotherapy in early stage (stage I and II1) patients with gastrointestinal non-Hodgkin's lymphomas because of the significant survival advantage it would bring to the patient.

Cyclooxygenase-2 Expression is not a Marker of Poor Survival in Lung Cancer

Turk, H. Mehmet,Camci, Celalettin,Sevinc, Alper,Bukyukberber, Suleyman,Sari, Ibrahim,Adli, Mustafa Asian Pacific Journal of Cancer Prevention 2012 Asian Pacific journal of cancer prevention Vol.13 No.1

Objective: Cyclooxygenase-2 (COX-2) has been claimed to play role in carcinogenesis and be related to a bad prognosis in tumours. The aim of this study was to investigate the relationship between COX-2 expression and clinical and pathological parameters in early and advanced stage lung cancer patients. Materials and Methods: A total of 73 patients with lung cancer (27 adenocarcinomas, 33 squamous cell carcinomas, 4 large cell carcinomas and 9 small cell cancer) were analysed retrospectively. COX-2 expression was evaluated by immunohistochemistry in resection materials or lung biopsies. Tumor cells demonstrating more intense staining than smooth muscle and endothelial cells were recorded as COX-2 positive. We investigated the correlation between increased COX-2 expression and histological type of the tumor, the stage of the disease and survival. Results: COX-2 expression was observed in 55% of the adenocarcinomas, 45% of the squamous cell carcinomas and 22% of the small cell carcinomas. No correlation was apparent between COX-2 expression and disease stage, histological type and the survival. Conclusion: The results of this study do not support COX-2 expression as an independent prognostic factor in lung cancer. However, since results of the literature are different, further studies made in larger series are needed.