• 제목/요약/키워드: Self-dual

검색결과 380건 처리시간 0.159초

NEW EXTREMAL BINARY SELF-DUAL CODES OF LENGTHS 66 AND 68 FROM CODES OVER Rk,m

  • Kaya, Abidin;Tufekci, Nesibe
    • 대한수학회보
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    • 제54권1호
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    • pp.29-42
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    • 2017
  • In this work, four circulant and quadratic double circulant (QDC) constructions are applied to the family of the rings $R_{k,m}$. Self-dual binary codes are obtained as the Gray images of self-dual QDC codes over $R_{k,m}$. Extremal binary self-dual codes of length 64 are obtained as Gray images of ${\lambda}-four$ circulant codes over $R_{2,1}$ and $R_{2,2}$. Extremal binary self-dual codes of lengths 66 and 68 are constructed by applying extension theorems to the ${\mathbb{F}}_2$ and $R_{2,1}$ images of these codes. More precisely, 10 new codes of length 66 and 39 new codes of length 68 are discovered. The codes with these weight enumerators are constructed for the first time in literature. The results are tabulated.

YANG-MILLS OR YANG-MILLS-HIGGS FIELDS OVER KAEHLER AND CONTACT MANIFOLDS

  • Park, Young-Soo;Suh, Young-Jin
    • 대한수학회보
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    • 제40권1호
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    • pp.109-122
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    • 2003
  • In this paper we give a characterization of an irreducible connection with harmonic curvature over a connected Kaehler manifold to be self-dual. Also we introduce new notions of $c_{i}-self-dual$ or Kaehler Yang-Mills connections on compact Kaehler manifolds and investigate some fundamental properties of this kind of new connections. Moreover, on a compact odd dimensional Riemannian manifold we give a property of generalized monopole.

AN ALTERED GROUP RING CONSTRUCTION OF THE [24, 12, 8] AND [48, 24, 12] TYPE II LINEAR BLOCK CODE

  • Shefali Gupta;Dinesh Udar
    • 대한수학회보
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    • 제60권3호
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    • pp.829-844
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    • 2023
  • In this paper, we present a new construction for self-dual codes that uses the concept of double bordered construction, group rings, and reverse circulant matrices. Using groups of orders 2, 3, 4, and 5, and by applying the construction over the binary field and the ring F2 + uF2, we obtain extremal binary self-dual codes of various lengths: 12, 16, 20, 24, 32, 40, and 48. In particular, we show the significance of this new construction by constructing the unique Extended Binary Golay Code [24, 12, 8] and the unique Extended Quadratic Residue [48, 24, 12] Type II linear block code. Moreover, we strengthen the existing relationship between units and non-units with the self-dual codes presented in [10] by limiting the conditions given in the corollary. Additionally, we establish a relationship between idempotent and self-dual codes, which is done for the first time in the literature.

ICF 구성요소 기반 이중과제 훈련이 만성 뇌졸중 환자의 보행 능력과 자기효능감에 미치는 영향 (The Effect of Dual Task Training based on the International Classification of Functioning, Disability, and Health on Walking Ability and Self-Efficacy in Chronic Stroke)

  • 이정아;이현민
    • 대한물리의학회지
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    • 제12권1호
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    • pp.121-129
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    • 2017
  • PURPOSE: This study was conducted to determine the effect of dual-task training (based on the International Classification of Functioning, Disability, and Health; ICF) on walking ability and self-efficacy in individuals with chronic stroke. METHODS: 22 chronic stroke patients participated in this study. Participants were randomly allocated into either the single-task group (n=11) or the dual-task group (n=11). Both groups had physical training three a week for 4 weeks, and at a three-week follow-up. Outcome measures included the 10m walking test (10MWT), figure of 8 walk test (F8WT), dynamic gait index (DGI), and Self-efficacy scale. All data were analyzed using SPSS 18.0 for Windows. Between-group and within-group comparison were analyzed by using the Mann-Whitney U test and Wilcoxon singed-rank test respectively. RESULTS: In the dual-task group, the 10MWT, time and steps of F8WT, DGI, and self-efficacy showed significant differences between pre- and post-test (p<.05). The Changes between the pre- and post-test values of 10MWT (p<.05), DGI (p<.05), and self-efficacy scale (p<.05) showed significant differences between the dual-task group and single-task group. CONCLUSION: Participants reported improved walking ability and self-efficacy, suggesting that dual-task training holds promise in the rehabilitation of walking in chronic stroke patients. This study showed that ICF-based on a dual-task protocol contiributes to motor learning after chronic stroke.

NONDIFFERENTIABLE SECOND ORDER SELF AND SYMMETRIC DUAL MULTIOBJECTIVE PROGRAMS

  • Husain, I.;Ahmed, A.;Masoodi, Mashoob
    • Journal of applied mathematics & informatics
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    • 제26권3_4호
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    • pp.549-561
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    • 2008
  • In this paper, we construct a pair of Wolfe type second order symmetric dual problems, in which each component of the objective function contains support function and is, therefore, nondifferentiable. For this problem, we validate weak, strong and converse duality theorems under bonvexity - boncavity assumptions. A second order self duality theorem is also proved under additional appropriate conditions.

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군지연 등화된 두 개의 통과대역을 갖는 필터의 합성에 관한 연구 (A Study on the Synthesis of a Self-Equalized Dual-Passband Filter)

  • 이주섭;엄만석;박종흥
    • 한국전자파학회논문지
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    • 제16권1호
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    • pp.19-25
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    • 2005
  • 본 논문에서는 각 통과대역이 군지연 등화된 두 개의 통과대역을 갖는 필터의 합성 방법에 관하여 언급하였다. 각 통과대역이 군지연 등화된 특성을 가지게 함으로써, 기존의 이중 통과대역 필터보다 디지털 데이터 전송에 있어서 비트 에러율(BER)을 감소시킬 수 있고, 군지연 변화를 등화시키기 위하여 외부 등화기가 별도로 필요하지 않다. 본 논문에서의 합성 방법 타당성 검증을 위하여 각 통과대역이 군지연 등화된 5차 타원 응답특성을 갖는 두 개의 통과대역을 갖는 10차 이중모드 필터를 합성하였다.

맞벌이 부모 간 아버지 양육참여의 지각차이가 부부갈등에 미치는 영향: 어머니의 자기효능감과 우울의 매개효과 (The Influence of Perception Gap of Dual-Income Parents about Paternal Involvement on Marital Conflict: Mediating Effects of Maternal Self-Efficacy and Depression)

  • 김은지;전귀연
    • Human Ecology Research
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    • 제54권5호
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    • pp.487-498
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    • 2016
  • The study was examined the multiple mediated effects of maternal self-efficacy and depression between perception gap about paternal involvement and marital conflict for dual-income parents. The data used were the fifth year data of the Panel Study on Korean Children from Korea Institute of Child Care and Education in 2012. The subjects consisted of 449 dual-income parents with more than one child. Data were analyzed using descriptive statistics, one-way analysis of variance, paired t -test, and correlation. SPSS macro and bootstrapping methods also assessed the mediation effects of maternal self-efficacy and depression between the perception gap about paternal involvement and marital conflict in dual-income parents. The results of this study were as follows. Significant positive correlations were observed for marital conflict, perception gap of dual-income parents about paternal involvement and maternal depression. Perception gaps by parents and self-efficacy were negatively correlated. Perception gaps by parents showed a direct effect on marital conflict. The results of indirect effects of all mediators showed the mediated effect of maternal self-efficacy and depression. The study revealed that the perceptive gap about paternal involvement has a significant impact on maternal self-efficacy and depression, as well as marital conflict. The perceptive gap of dual-income parents about paternal involvement has critical effects on marital conflict as much as the quantity of paternal involvement.

ON THE EXTREMAL TYPE I BINARY SELF-DUAL CODES WITH NEAR-MINIMAL SHADOW

  • HAN, SUNGHYU
    • Journal of applied mathematics & informatics
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    • 제37권1_2호
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    • pp.85-95
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    • 2019
  • In this paper, we define near-minimal shadow and study the existence problem of extremal Type I binary self-dual codes with near-minimal shadow. We prove that there is no such codes of length n = 24m + 2($m{\geq}0$), n = 24m + 4($m{\geq}9$), n = 24m + 6($m{\geq}21$), and n = 24m + 10($m{\geq}87$).

고정된 카메라 내부 속성을 가정한 Self-Calibration (Self-Calibration With Fixed Intrinsic Camera Parameters)

  • 안호영;박종승
    • 한국정보처리학회:학술대회논문집
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    • 한국정보처리학회 2010년도 추계학술발표대회
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    • pp.779-782
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    • 2010
  • Self-calibration에서 3차원 좌표의 복원은 호모그래피 행렬 H를 계산하면 얻을 수 있다. 이 호모그래피 행렬을 얻는 방법은 dual absolute quadric, Kruppa Equation(dual conic), plane at infinity(modulus constraint)를 사용하는 방법과 같이 세 가지 방법이 일반적으로 사용된다. 제안하는 방식은 dual absolute quadric을 사용한다. 카메라 내부 속성이 모든 뷰에서 동일하고 비틀림이나 영상의 원점이 중심이라는 가정을 두고 호모그래피 행렬 H를 계산한다. 실험을 통해서 주어진 가정으로 정밀한 복원이 가능함을 보였다.