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The Modified Criterion for Global Avalanche Characteristics of Cryptographic Functions
Wansoon Kim,Yang-Su Kim 호서대학교 기초과학연구소 2000 기초과학연구 논문집 Vol.8 No.1
In this paper we modify the criterion for Global Avalanche Characteristics of cryptographic functions. Using this modified criterion we com pare global avalanche characteristics of Boolean functions whose domains have different dimensions.
Some modules in category O and their decomposition over generalized kac-moody lie algebras
Kim, Wansoon Korean Mathematical Society 1997 대한수학회보 Vol.34 No.4
We extent the notion of equivalent relation $\approx$ for Kac-Moody algebras to generalized Kac-Moody algebras and prove some analogues of results for Kac-Moody algebras.
Complete Reducibility of some Modules for a Generalized Kac Moody Lie Algebra
Kim, Wansoon 충청수학회 1992 충청수학회지 Vol.5 No.1
Let G(A) denote a generalized Kac Moody Lie algebra associated to a symmetrizable generalized Cartan matrix A. In this paper, we study on representations of G(A). Highest weight modules and the category O are described. In the main theorem we show that some G(A) modules from the category O are completely reducible. Also a criterion for irreducibility of highest weight modules is obtained. This was proved in [3] for the case of Kac Moody Lie algebras.
AUTO-CORRELATIONS AND BOUNDS ON THE NONLINEARITY OF VECTOR BOOLEAN FUNCTIONS
Wansoon Kim,Junseok Park 충청수학회 2004 충청수학회지 Vol.17 No.1
The nonlinearity of a Boolean function f on GF (2) n is the minimum hamming distance between f and all affine functions on GF (2) n and it measures the ability of a cryptographic system using the functions to resist against being expressed as a set of linear equations. Finding out the exact value of the nonlinearity of given Boolean functions is not an easy problem therefore one wants to estimate the nonlinearity using extra information on given functions, or wants to find a lower bound or an upper bound on the nonlinearity. In this paper we extend the notion of auto-correlations of Boolean functions to vector Boolean functions and obtain upper bounds and a lower bound on the nonlinearity of vector Boolean functions in the context of their auto-correlations. Also we can describe avalanche characteristics of vector Boolean functions by examining the extended notion of auto-correlations.
Complete Reducibility of some Modules for a Generalized Kac Moody Lie Algebra
WANSOON KIM 충청수학회 1992 충청수학회지 Vol.5 No.1
Let G(A) denote a generalized Kac Moody Lie algebra associated to a symmetrizable generalized Cartan matrix A. In this paper, we study on representations of G(A). Highest weight modules and the category O are described. In the main theorem we show that some G(A) modules from the category O are completely reducible. Also a criterion for irreducibility of highest weight modules is obtained. This was proved in [3] for the case of Kac Moody Lie algebras.
CHARACTERIZATION OF SOME INDECOMPOSABLE GENERALIZED CARTAN MATRICES
wansoon kim,yongsun ha 호서대학교 기초과학연구소 2009 기초과학연구 논문집 Vol.17 No.1
In this note we consider generalized Cartan matrices whose order is either 2 or 3 and find conditions under which we can classify whether given matrices are either finite, affine or indefinite
AUTO-CORRELATIONS AND BOUNDS ON THE NONLINEARITY OF VECTOR BOOLEAN FUNCTIONS
Kim, Wansoon,Park, Junseok 충청수학회 2004 충청수학회지 Vol.17 No.1
The nonlinearity of a Boolean function f on $GF(2)^n$ is the minimum hamming distance between f and all affine functions on $GF(2)^n$ and it measures the ability of a cryptographic system using the functions to resist against being expressed as a set of linear equations. Finding out the exact value of the nonlinearity of given Boolean functions is not an easy problem therefore one wants to estimate the nonlinearity using extra information on given functions, or wants to find a lower bound or an upper bound on the nonlinearity. In this paper we extend the notion of auto-correlations of Boolean functions to vector Boolean functions and obtain upper bounds and a lower bound on the nonlinearity of vector Boolean functions in the context of their auto-correlations. Also we can describe avalanche characteristics of vector Boolean functions by examining the extended notion of auto-correlations.
손영진(Youngjin Son),김재동(Jaedong Kim),정완순(Wansoon Jeong),김종훈(Jong-Hoon Kim),김기석(Ki-Seog Kim) 한국암반공학회 2014 터널과지하공간 Vol.24 No.1
본 연구에서는 절리구조의 기하학적 특성을 분석하기 위해 사진측량기법을 효율적으로 현장에 적용하기위한 절리조사 시스템을 개발하였다. 개발된 시스템은 하드웨어와 해석 소프트웨어로 구성된다. 하드웨어는 암반 절리구조의 영상촬영을 위한 영상 촬영 시스템, 카메라의 촬영방향과 높이를 제어하는 촬영방향 제어 시스템, 그리고 카메라 매개변수 중 회전각 성분을 측정하기 위한 디지털 컴퍼스로 구성되었다. 해석 소프트웨어는 사진촬영을 통해 얻어진 이미지 자료로부터 절리의 방향성, 밀도 및 평균 길이를 분석하기 위해 개발하였으며 JointeXtractor로 명명하였다. 개발된 시스템을 암반 상부와 수목이나 낙석방지 울타리의 설치로 인해 접근이 어려운 지역 등 수작업 조사자가 측정할 수 없는 경우의 현장에 적용한 결과 절리의 방향성 및 밀도, 평균 길이를 정량적으로 분석할 수 있었다. In this study, a joint survey system was developed to efficiently analyze geometrical characteristics of joint structures in rock mass using photogrammetric technique. The system includes both hardware and software. The hardware consists of a high resolution image camera for photographing image of a surface of rock body, a direction controlling system for adjusting the attitude of camera, and a digital compass for measuring the rotation angle of camera. The software was also developed in order to analyze the orientation, density, mean length of joints revealed on the images of rock surfaces. The software developed in this study was named as JointeXtractor. As applying this system into several field measurements, the orientation, density, mean length of joints could be quantitatively measured through analyzing the images of rock surfaces, in which the case of a difficult-to-access area was especially included for the test of the system.
Photophysiological Response of Korean Endemic Plant Hosta yingeri to Shading Conditions
Maro Choi,Wansoon Kim 한국원예학회 2021 한국원예학회 학술발표요지 Vol.2021 No.10
The purpose of this study was to confirm the shade tolerance of Hosta yingeri native to Korea for its introduction to indoor gardens. We investigated the growth and physiological responses of H. yingeri under three different low light conditions as indoors: 30 μmol·m<SUP>-2</SUP>·s<SUP>-1</SUP> PPFD (L30), 20 μmol·m<SUP>-2</SUP>·s<SUP>-1</SUP> PPFD (L20), and 10 μmol·m<SUP>-2</SUP>·s<SUP>-1</SUP> PPFD (L10), compared to the control of 320 μmol·m<SUP>-2</SUP>·s<SUP>-1</SUP> PPFD, which was 60% of outdoor light. We experimented with the environment-controlled growth chambers set by 23°C air temperature, 45% relative humidity and 16-h day-length conditions for eight weeks. The light use efficiency was the highest in the L10 treatment. The plants in the L10 treatment were the most sensitive to light; meanwhile, those of the control showed dynamic photoinhibition. The control and L10 treatments showed shade stress based on chlorophyll fluorescence (Fv/Fm), whereas the L20 and L30 treatments did not. Transmission electron microscope (TEM) revealed that the plants in the control and L30 treatment accumulated more starch grains in the chlorophyll than those in the L10 or L20 treatments. We observed leaves’ distinctive dark green color in H. yingeri in all treatments regardless of light treatment conditions. These results suggest that H. yingeri can photosynthesize and grow without shade stress in the low light condition in about 20 μmol·m<SUP>-2</SUP>·s<SUP>-1</SUP> PPFD.