• 제목/요약/키워드: Differential analysis

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Impossible Differential Cryptanalysis on Lai-Massey Scheme

  • Guo, Rui;Jin, Chenhui
    • ETRI Journal
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    • 제36권6호
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    • pp.1032-1040
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    • 2014
  • The Lai-Massey scheme, proposed by Vaudenay, is a modified structure in the International Data Encryption Algorithm cipher. A family of block ciphers, named FOX, were built on the Lai-Massey scheme. Impossible differential cryptanalysis is a powerful technique used to recover the secret key of block ciphers. This paper studies the impossible differential cryptanalysis of the Lai-Massey scheme with affine orthomorphism for the first time. Firstly, we prove that there always exist 4-round impossible differentials of a Lai-Massey cipher having a bijective F-function. Such 4-round impossible differentials can be used to help find 4-round impossible differentials of FOX64 and FOX128. Moreover, we give some sufficient conditions to characterize the existence of 5-, 6-, and 7-round impossible differentials of Lai-Massey ciphers having a substitution-permutation (SP) F-function, and we observe that if Lai-Massey ciphers having an SP F-function use the same diffusion layer and orthomorphism as a FOX64, then there are indeed 5- and 6-round impossible differentials. These results indicate that both the diffusion layer and orthomorphism should be chosen carefully so as to make the Lai-Massey cipher secure against impossible differential cryptanalysis.

Free vibration analysis of functionally graded beams with variable cross-section by the differential quadrature method based on the nonlocal theory

  • Elmeiche, Noureddine;Abbad, Hichem;Mechab, Ismail;Bernard, Fabrice
    • Structural Engineering and Mechanics
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    • 제75권6호
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    • pp.737-746
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    • 2020
  • This paper attempts to investigate the free vibration of functionally graded material beams with nonuniform width based on the nonlocal elasticity theory. The theoretical formulations are established following the Euler-Bernoulli beam theory, and the governing equations of motion of the system are derived from the minimum total potential energy principle using the nonlocal elasticity theory. In addition, the Differential Quadrature Method (DQM) is applied, along with the Chebyshev-Gauss-Lobatto polynomials, in order to determine the weighting coefficient matrices. Furthermore, the effects of the nonlocal parameter, cross-section area of the functionally graded material (FGM) beam and various boundary conditions on the natural frequencies are examined. It is observed that the nonlocal parameter and boundary conditions significantly influence the natural frequencies of the functionally graded material beam cross-section. The results obtained, using the Differential Quadrature Method (DQM) under various boundary conditions, are found in good agreement with analytical and numerical results available in the literature.

Fault Line Detection Methodology for Four Parallel Lines on the Same Tower

  • Li, Botong;Li, Yongli;Yao, Chuang
    • Journal of Electrical Engineering and Technology
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    • 제9권4호
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    • pp.1217-1228
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    • 2014
  • A method for faulted line detection of four parallel lines on the same tower is presented, based on four-summing and double-differential sequences of one terminal current. Four-summing and double-differential sequences of fault current can be calculated using a certain transformation matrix for parameter decoupling of four parallel transmission lines. According to fault boundary conditions, the amplitude and phase characteristics of four-summing and double-differential sequences of fault current is studied under conditions of different types of fault. Through the analysis of the relationship of terminal current and fault current, a novel methodology for fault line detection of four parallel transmission line on the same tower is put forward, which can pick out the fault lines no matter the fault occurs in single line or cross double lines. Simulation results validate that the methodology is correct and reliable under conditions of different load currents, transient resistances and fault locations.

Energy equivalent model in analysis of postbuckling of imperfect carbon nanotubes resting on nonlinear elastic foundation

  • Mohamed, Nazira;Eltaher, Mohamed A.;Mohamed, Salwa A.;Seddek, Laila F.
    • Structural Engineering and Mechanics
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    • 제70권6호
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    • pp.737-750
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    • 2019
  • This paper investigates the static and dynamic behaviors of imperfect single walled carbon nanotube (SWCNT) modeled as a beam structure by using energy-equivalent model (EEM), for the first time. Based on EEM Young's modulus and Poisson's ratio for zigzag (n, 0), and armchair (n, n) carbon nanotubes (CNTs) are presented as functions of orientation and force constants. Nonlinear Euler-Bernoulli assumptions are proposed considering mid-plane stretching to exhibit a large deformation and a small strain. To simulate the interaction of CNTs with the surrounding elastic medium, nonlinear elastic foundation with cubic nonlinearity and shearing layer are employed. The equation governed the motion of curved CNTs is a nonlinear integropartial-differential equation. It is derived in terms of only the lateral displacement. The nonlinear integro-differential equation that governs the buckling of CNT is numerically solved using the differential integral quadrature method (DIQM) and Newton's method. The linear vibration problem around the static configurations is discretized using DIQM and then is solved as a linear eigenvalue problem. Numerical results are depicted to illustrate the influence of chirality angle and imperfection amplitude on static response, buckling load and dynamic behaviors of armchair and zigzag CNTs. Both, clamped-clamped (C-C) and simply supported (SS-SS) boundary conditions are examined. This model is helpful especially in mechanical design of NEMS manufactured from CNTs.

REDUCED DIFFERENTIAL TRANSFORM FOR THERMAL STRESS ANALYSIS UNDER 2-D HYPERBOLIC HEAT CONDUCTION MODEL WITH LASER HEAT SOURCE

  • SUTAR, CHANDRASHEKHAR S.;CHAUDHARI, KAMINI K.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제25권2호
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    • pp.54-65
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    • 2021
  • In this study, a two-dimensional thermoelastic problem under hyperbolic heat conduction theory with an internal heat source is considered. The general solution for the temperature field, stress components and displacement field are obtained using the reduced differential transform method. The stress and displacement components are obtained using the thermal stress function in the reduced differential transform domain. All the solutions are obtained in the form of power series. The special case with a time-dependent laser heat source has been considered. The problem is considered for homogeneous material with finite rectangular cross-section heated with a non-Gaussian temporal profile. The effect of the heat source on all the characteristics of a material is discussed numerically and graphically for magnesium material taking a pulse duration of 0.2 ps. This study provides a powerful tool for finding the solution to the thermoelastic problem with less computational work as compared to other methods. The result obtained in the study may be useful for the investigation of thermal characteristics in engineering and industrial applications.

한우의 연령에 따른 혈액 및 혈청 화학치 분석 (Hematological and biochemical analysis of Korean indigenous cattle according to the ages)

  • 조현웅;고원석;손향원;이미진;송희종;박진호
    • 한국동물위생학회지
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    • 제31권1호
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    • pp.137-147
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    • 2008
  • Investigations for hematologic and biochemical values and the differential count of WBC for Korean indigenous cattle (KIC)is rarely performed. Therefore, when the index of complete blood counts (CBC) and biochemical analysis of KIC was requested, it had many difficulties to make the results for blood condition since the standard hematologic and biochemical values of KIC are lacking. In the present study, we have investigated the hematologic and biochemical values and the differential count of WBC for blood of total 252 KIC and 17 striped cattle (SC) as a control. As a result, the mean values of RBC and platelet of KIC were significantly decreased by age (P<0.05). The mean values of RBC, HCT, MCV and MCHC between KIC and SC of the same age (2 - 3 years) showed the statistical significance (P<0.05). Also, in the WBC of KIC, the mean values were decreased according to the age from $12.8{\times}10^3/{\mu}l$ under 1 year to $8.5{\times}10^3/{\mu}l$ over 5 years. In the differential count of WBC of KIC, it showed generally the rates of 45% lymphocyte and 35% segmented neutrophil. In the biochemical analysis, the mean values of BUN and globulin were significantly increased according to the age (P<0.05). Additionally, in comparative analysis between pregnant and non-pregnant group of KIC, the mean values of Hg and HCT in pregnant group were significantly decreased (P<0.05). In conclusion, data obtained from this study may be valuable as a standard for interpretation of the results in hematologic and biochemical analysis of KIC.

평판디스플레이 응용을 위한 차동 FPCB 전송선 설계 최적화 (Design Optimization of Differential FPCB Transmission Line for Flat Panel Display Applications)

  • 류지열;노석호;이형주
    • 한국정보통신학회논문지
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    • 제12권5호
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    • pp.879-886
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    • 2008
  • 본 논문에서는 저전압 차동 신호(Low-Voltage Differential Signaling, LVDS) 전송방식의 응용을 위한 차동 전송 접속 경로의 분석 및 설계 최적화 방법을 제안한다. 차동 전송 경로 및 저전압 스윙 방법의 발전으로 인해 LVDS 방식은 데이터 통신 분야, 고해상도 디스플레이 분야, 평판 디스플레이 분야에서 매우 적은 소비전력, 개선된 잡음 특성 및 고속 데이터 전송률을 제공한다. 본 논문은 차동 유연성 인쇄회로 보드(flexible printed circuit board, FPCB) 전송선에서 선폭, 선두께 및 선 간격과 같은 전송선 설계 변수들의 최적화 기법을 이용하여 직렬 접속된 전송선에서 발생하는 임피던스 부정합과 신호왜곡을 감소시키기 위해 개선 모델과 새로이 개발된 수식을 제안한다. 이러한 차동 FPCB 전송선의 고주파 특성을 평가하기 위해 주파수 영역에서 전파(full-wave) 전자기 시뮬레이션, 시간영역 시뮬레이션 및 S 파라미터 시뮬레이션을 각각 수행하였다. $17.5{\mu}m$$35{\mu}m$의 전송선의 경우, 전극 폭에서의 약 10% 변화가 차동 임피던스에서의 약 6%와 5.6%의 변화를 각각 보였으나, 전송선 간 간격은 차동 및 특성 임피던스에서의 영향을 주지 않음을 확인하였다. 또한 전송선 간격이 증가할수록 상호 인덕턴스 및 커패시턴스가 감소하기 때문에 누화 잡음을 감소시키기 위해 신호 전송선간의 간격을 $180{\mu}m$ 이상 유지 해야함을 확인하였다.

고해상도 속도스펙트럼과 전역탐색법을 이용한 자동속도분석 (Automatic velocity analysis using bootstrapped differential semblance and global search methods)

  • 최형욱;변중무;설순지
    • 지구물리와물리탐사
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    • 제13권1호
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    • pp.31-39
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    • 2010
  • 자동속도분석의 목적은 대용량 탄성파탐사자료로부터 정확한 속도를 효율적으로 추출하는 것이다. 본 연구에서는 bootstrapped differential semblance (BDS) 방법과 몬테카를로 역산법을 이용하여 효율적인 자동속도분석 알고리듬을 개발하였다. 자동속도분석을 통해 보다 정확한 결과를 계산하기 위하여 우리가 개발된 알고리듬에서는 일반적인 셈블런스보다 높은 속도해상도를 제공하는 BDS를 일관성 측정법으로 사용한다. 게다가, 개발된 자동속도분석 알고리듬의 처리시간을 줄이고, 효율성을 증가시키기 위해 조건적으로 초기속도모델을 결정하는 단계를 추가하였다. 그리고 잘못된 피크값을 피킹하는 문제를 방지하기 위해서 새로운 RMS 속도제약조건을 선택적으로 사용하였다. 개발된 자동속도분석 모듈의 성능을 시험하기 위해서 합성탄성파탐사자료와 동해에서 취득한 현장자료에 개발된 모듈을 적용하였다. 본 연구에서 개발원 알고리듬을 통해 얻은 속도결과를 적용하여 안든 중합단면들은 일관된 반사이벤트들과 NMO보정 결과의 질이 향상된 것을 보여준다. 더욱이, 개발원 알고리듬은 구간속도제약조건을 확인하면서 구간속도를 먼저 구하고 이를 이용하여 RMS 속도를 계산하기 예문에, 지질학적으로 타당한 구간속도를 구할 수 있다. 또한, 구간속도의 경계등이 중합단면도에서 나타나는 반사이벤트들과 잘 부합된다.

부채널 분석 대응을 위한 1차 마스킹 AES 알고리즘 최적화 구현 (Implementation of Optimized 1st-Order Masking AES Algorithm Against Side-Channel-Analysis)

  • 김경호;서화정
    • 정보처리학회논문지:컴퓨터 및 통신 시스템
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    • 제8권9호
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    • pp.225-230
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    • 2019
  • 최근 사물인터넷 기술의 발전과 함께 하드웨어 디바이스에서 측정하는 센싱 데이터를 보호하기 위해 다양한 방식의 암호화 알고리즘을 채택하고 있다. 그 중 전 세계에서 가장 많이 사용하는 암호화 알고리즘인 AES(Advanced Encryption Standard) 또한 강력한 안전성을 바탕으로 많은 디바이스에서 사용되고 있다. 하지만 AES 알고리즘은 DPA(Differential Power Analysis), CPA(Correlation Power Analysis) 같은 부채널 분석 공격에 취약하다는 점이 발견되었다. 본 논문에서는 부채널 분석 공격 대응방법 중 가장 널리 알려진 마스킹 기법을 적용한 AES 알고리즘의 소프트웨어 최적화 구현 기법을 제시한다.

Bending of a rectangular plate resting on a fractionalized Zener foundation

  • Zhang, Cheng-Cheng;Zhu, Hong-Hu;Shi, Bin;Mei, Guo-Xiong
    • Structural Engineering and Mechanics
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    • 제52권6호
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    • pp.1069-1084
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    • 2014
  • The long-term performance of plates resting on viscoelastic foundations is a major concern in the analysis of soil-structure interaction. As a powerful mathematical tool, fractional calculus may address these plate-on-foundation problems. In this paper, a fractionalized Zener model is proposed to study the time-dependent behavior of a uniformly loaded rectangular thin foundation plate. By use of the viscoelastic-elastic correspondence principle and the Laplace transforms, the analytical solutions were obtained in terms of the Mittag-Leffler function. Through the analysis of a numerical example, the calculated plate deflection, bending moment and foundation reaction were compared to those from ideal elastic and standard viscoelastic models. It is found that the upper and lower bound solutions of the plate response estimated by the proposed model can be determined using the elastic model. Based on a parametric study, the impacts of model parameters on the long-term performance of a foundation plate were systematically investigated. The results show that the two spring stiffnesses govern the upper and lower bound solutions of the plate response. By varying the values of the fractional differential order and the coefficient of viscosity, the time-dependent behavior of a foundation plate can be accurately captured. The fractional differential order seems to be dependent on the mechanical properties of the ground soil. A sandy foundation will have a small fractional differential order while in order to simulate the creeping of clay foundation, a larger fractional differential order value is needed. The fractionalized Zener model is capable of accounting for the primary and secondary consolidation processes of the foundation soil and can be used to predict the plate performance over many decades of time.