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Self-dual codes with an automorphism of order 7 and <i>s</i>-extremal codes of length 68
Yankov, Nikolay,Ivanova, Milena,Lee, Moon Ho Elsevier 2018 Finite fields and their applications Vol.51 No.-
<P><B>Abstract</B></P> <P>This paper studies and classifies optimal binary self-dual codes having an automorphism of order 7 with 9 cycles. This classification is done by applying a method for constructing binary self-dual codes with an automorphism of odd prime order <I>p</I>. There are exactly 69781 inequivalent binary self-dual [ 64 , 32 , 12 ] codes with an automorphism of type 7 − ( 9 , 1 ) . As for binary [ 66 , 33 , 12 ] self-dual codes with an automorphism of type 7 − ( 9 , 3 ) there are 1652432 such codes. We also construct more than 4 million new optimal codes of length 68 among which are the first known examples of the very elusive <I>s</I>-extremal self-dual codes. We prove the nonexistence of [ 70 , 35 , 14 ] codes with an automorphism of type 7 − ( 9 , 7 ) . Most of the constructed codes for all lengths have weight enumerators for which the existence was not known before.</P>
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ПРЕДВАРИТЕЛЬНЫЕ РЕЗУЛЬТАТЫ СРАВНЕНИЯ АГИНСКИХ И УСТЬ-ОРДЫНСКИХ БУРЯТ
А.Г. Янков(A.G. Yankov) 동북아시아문화학회 2008 동북아시아문화학회 국제학술대회 발표자료집 Vol.- No.-
In spring an summer of 2007 field researches were carried out in two areas of Buriat inhabitation: in Aginskiy Buriat autonomous region and in Ust'-Ordynskiy region. 800 respondents were questioned in Aginskiy region and 552 ones in Ust'-Ordynskiy region. Main characteristics of questions were: national identity, sex, age. Main purpose of the research was comparison of ethnic-cultural characteristics of the two sub-ethnic groups of Buriats that lived to the east and to the west of Baikal Lake. Buriat of Ust'-Orda (west Buriat) mainly are shamanists. Buriat of Aginskiy region (east Buriat) are Buddhists. Results of the research demonstrate that Buriat of Aginskiy region in more degree than those of Ust'-Orda have preserved and are developing their language, in more extent are religious, kindred relationship for them is more important. They are more closed for external influence. Buriat of Ust'-Ordynskiy region, having been exposed to Russian influence for a long time, are losing ethnic-cultural components. At that, exactly religious system of shamanism runs through social system, reproducing kin relations, impedes destruction of the "body" of identity of Buriat of Ust'-Ordynskiy region by processes of modernization. For Buriat of Aginskiy region adoption of market relations in pastoral life does not contradict preservation of traditional way of life, even on the contrary it favors to its' development.
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Prognostic Factors Related to Surgical Outcome of Liver Metastases of Breast Cancer
Daniel V. Kostov,Georgi L. Kobakov,Daniel V. Yankov 한국유방암학회 2013 Journal of breast cancer Vol.16 No.2
Purpose: The role of hepatectomy for patients with liver metastases of breast cancer (LMBC) remains controversial. The purpose of this study is to share our experience with hepatic resection in a relatively unselected group of patients with LMBC and analyse the prognostic factors and indications for surgery. Methods: In 2000 to 2006, 42 female patients with a mean age of 58.2 years (range, 39 to 69 years) with LMBC diagnosed by means of abdominal ultrasound, computed tomography and/or magnetic resonance imaging in the hospital. They were considered for surgery because of limited comorbidities, presence of seven or fewer liver tumors and absence of (or limited and stable) extrahepatic disease on preoperative imaging. Patients’ demographics, metastatic characteristics as well as clinical and operative parameters were being studied. Overall actuarial 1-, 3-, and 5-year survival rates were calculated since the hepatic resection onwards using the Kaplan-Meier method. Results: Metastatic tumor size of ≤4 cm (p=0.03), R0 resection (p=0.02), negative portal lymph nodes (p=0.01), response to chemotherapy (p= 0.02), and positive hormone receptor status (p=0.03) were associated with better survival outcomes on univariate analysis. However, it did not show survival benefits on multivariate analysis. The disease-free survival and overall survival are 29.40 and 43 months, respectively. The 1-, 3- and 5-year survival rates were 84.61%, 64.11%, and 38.45%, respectively. Conclusion: Selected patients with isolated LMBC may benefit from surgical management; although, indications remain unclear and the risks may outweigh the benefits in patients with a generally poor prognosis. Improvements in preoperative staging and progressive application of new multimodality treatments will be the key to improved survival rates in this severe disease. The careful selection of patients is associated with a satisfactory long-term survival rate.
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