• 한국통신학회논문지
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• 제29권6C호
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• pp.763-769
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• 2004

Bent 함수가 DES나 많은 블록 암호 시스템에서 차분 암호분석법이 어렵도록 만들어 주는 완전 비선형 함수와 상응관계가 있다는 것이 알려져 있다. 본 논문에서는 홀수인 소수 p에 대해서 유한체에서 정의된 2차 p진 bent 함수가 최적의 상관 특성을 갖는 p진 시퀀스의 군으로부터 주어졌다. 그리고 이차 p진 bent 함수, 즉 유한체 F $_{p^{m}}$에서 소수체 $F_{p}$ 로의 완전 비선형 함수가 race 함수를 사용해서 생성되었다.e 함수를 사용해서 생성되었다.

• 융합신호처리학회논문지
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• 제11권1호
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• pp.47-52
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• 2010

암호화 시스템에서 대부분의 선형시스템은 쉽게 해석될 수 있기 때문에 비선형성은 매우 중요하다. 비선형 함수인 bent함수와 유사한 특성을 갖고 C.Bracken, Z.Zha 등에 의하여 제안된 APN(Almost Perfect Nonlinear) 함수를 이용하여 두 종류의 새로운 부호계열 발생 알고리즘을 제안하였다. 이를 이용하여 GF(2)상에서 발생된 부호계열의 자기상관함수 $R_{ii}(\tau)$, ${\tau}\;{\neq}\;0$와 상호상관함수 $R_{ik}(\tau)$의 값은 {-1, $-1-2^{n/2}$, $-1+2^{n/2}$}을 가진다. 이 개념을 확장한 GF(p), $p\;{\geq}\;3$상에서 발생된 비 이원부호계열의 자기상관함수 $R_{p,ii}(\tau}$, ${\tau}\;{\neq}\;0$와 상호상관함수 $R_{p,ik}(\tau)$의 값은 {$-1+p^{n-1}$, $-1-p^{(n-1)/2}+p^{n-1}$, $-1+p^{(n-1)/2}+p^{n-1}$} 로 역시 3종류 값을 가짐을 보였다. 이 분석결과로부터 발생된 부호계열의 상관함수가 Gold 부호계열과 유사한 특성을 가짐을 확인하였다.

• International Journal of Aeronautical and Space Sciences
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• 제7권1호
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• pp.13-26
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• 2006

When the stagnation temperature of a perfect gas increases, the specific heat for constant pressure and ratio of the specefic heats do not remain constant any more and start to vary with this temperature. The gas remains perfect: its state equation remains always valid, with exception that it will be named by calorically imperfect gas. The aim of this research is to develop the relations of the necessary thermodynamics and geometrical ratios. and to study the supersonic flow at high temperature. lower than the threshold of dissociation. The results are found by the resolution of nonlinear algebraic equations and integration of complex analytical functions where the exact calculation is impossible. The dichotomy method is used to solve the nonlinear equation. and the Simpson algorithm for the numerical integration of the found integrals. A condensation of the nodes is used. Since. the functions to be integrated have a high gradient at the extremity of the interval of integration. The comparison is made with the calorifcally perfect gas to determine the error made by this last. The application is made for the air in a supersonic nozzle.

• 전기학회논문지
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• 제60권9호
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• pp.1741-1747
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• 2011

Though various techniques have been studied as a way of adjusting parameters of PID controllers, no perfect method of determining parameters is available to date. This paper proposes a new method for enhancing performance of PID controllers by using the characteristics of dual-input describing function (DIDF). In other words, if nonlinear elements with two inputs (DIDF) are connected in series to the plant, the critical point (-1+j0) for Nyquist stability theory can be moved to a position arbitrarily selected on the complex plane by determining necessary coefficients of the DIDF appropriately. This makes the application of the existing conventional PID parameter tuning methods a lot easier, and stability and robustness of the system are improved simultaneously due to the DIDF inserted.

• Structural Engineering and Mechanics
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• 제14권2호
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• pp.119-133
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• 2002

A beam-column fiber element for the large displacement, nonlinear inelastic analysis of Concrete-Filled Steel Tubes (CFT) is implemented. The method of description is Total Lagrangian formulation. An 8 degree of freedom (DOF) element with three nodes, which has 3 DOF per end node and 2 DOF on the middle node, has been chosen. The quadratic Lagrangian shape functions for axial deformation and the quartic Hermitian shape function for the transverse deformation are used. It is assumed that the perfect bond is maintained between steel shell and concrete core. The constitutive models employed for concrete and steel are based on the results of a recent study and include the confinement and biaxial effects. The model is implemented to analyze several CFT columns under constant and non-proportional fluctuating concentric axial load and cyclic lateral load. Good agreement has been found between experimental results and theoretical analysis.

• 대한수학회보
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• 제59권6호
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• pp.1327-1337
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• 2022

Zero-difference balanced (ZDB) functions can be applied to many areas like optimal constant composition codes, optimal frequency hopping sequences etc. Moreover, it has been shown that the image set of some ZDB functions is a regular partial difference set, and hence provides strongly regular graphs. Besides, perfect nonlinear functions are zero-difference balanced functions. However, the converse is not true in general. In this paper, we use the decomposition of cyclotomic polynomials into irreducible factors over 𝔽_p, where p is an odd prime to generalize some recent results on ZDB functions. Also we extend a result introduced by Claude et al. [3] regarding zero-difference-p-balanced functions over 𝔽_pⁿ. Eventually, we use these results to construct some optimal constant composition codes.