• Title/Summary/Keyword: P-M-N 곡선

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Fast Factorization Methods based on Elliptic Curves over Finite Fields (유한체위에서의 타원곡선을 이용한 고속 소인수분해법에 관한 연구)

  • Kim, Yong-Tae
    • The Journal of the Korea institute of electronic communication sciences
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    • v.10 no.10
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    • pp.1093-1100
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    • 2015
  • Since the security of RSA cryptosystem depends on the difficulty of factoring integers, it is the most important problem to factor large integers in RSA cryptosystem. The Lenstra elliptic curve factorization method(ECM) is considered a special purpose factoring algorithm as it is still the best algorithm for divisors not greatly exceeding 20 to 25 digits(64 to 83 bits or so). ECM, however, wastes most time to calculate $M{\cdot}P$ mod N and so Montgomery and Koyama both give fast methods for implementing $M{\cdot}P$ mod N. We, in this paper, further analyze Montgomery and Koyama's methods and propose an efficient algorithm which choose the optimal parameters and reduces the number of multiplications of Montgomery and Koyama's methods. Consequently, the run time of our algorithm is reduced by 20% or so than that of Montgomery and Koyama's methods.

n-ZnO/p-GaN 이종접합 LED의 전기.광학적 특성

  • Kim, Jun;Song, Chang-Ho;Sin, Dong-Hwi;Jo, Yeong-Beom;Bae, Nam-Ho;Byeon, Chang-Seop;Kim, Seon-Tae
    • Proceedings of the Materials Research Society of Korea Conference
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    • 2011.10a
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    • pp.41.1-41.1
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    • 2011
  • 본 연구에서는 MOCVD법으로 사파이어 기판위에 u-GaN를 성장한 후 Mg을 도핑시켜 p-GaN를 성장하고, RF 스퍼터를 이용하여 n-ZnO를 도포하여 n-ZnO/p-GaN 이종접합을 형성한 후 진공증착기를 이용하여 Au/Ni를 증착시켜 발광다이오드(LED)를 제작하고 전기 광학적 특성을 조사하였다. 두께가 500 nm인 u-GaN 위에 성장된 p-GaN의 운반자 농도는 $1.68{\times}10^{17}\;cm^{-3}$ 이었다. 그리고 150, 300 nm 두께의 p-GaN에 대하여 측정된 DXRD 반치폭은 각각 450 arcsec, 396 arcsec 이었고, 상온에서 2.8~3.0 eV 영역에서 Mg 억셉터와 관련된 광루미네센스가 검출되었다. RF 스퍼터링에 의해 0.7 nm/min의 속도로 증착된 n-ZnO 박막은 증착 두께에 따라 비저항이 27.7 $m{\Omega}{\cdot}cm$ 에서 6.85 $m{\Omega}{\cdot}cm$ 까지 감소하였다. 그리고 n-ZnO 박막은 (0002)면으로 우선 배향되었으며, 상온에서 에너지갭 관련된 광루미네센스가 3.25 eV 부근에서 주되게 검출되었다. n-ZnO/p-GaN 이종접합 LED의 전류전압 특성곡선은 다이오드 방정식에 만족하는 특성을 나타내었다. 다이오드 지수는 3 V 이하 영역에서 1.64, 3~5 V 영역에서 0.85이었다. 그리고 5 V 이상 영역에서 공간전하의 제한을 받았으며, 다이오드 지수는 3.36이었다. 한편, 역방향 전류전압 특성은 p-GaN 박막의 두께에 영향을 받았으며, p-GaN 박막의 두께가 150, 300 nm 일 때 각각의 누설 전류는 $1.3{\times}10^{-3}$ mA와 $8.6{\times}10^{-5}$ mA 이었다. 상온에서 측정된 EL 스펙트럼의 주된 발광피크는 430 nm이었고, 반치폭은 49.5 nm이었다.

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Statistical Analysis for Fatigue Life Evaluation of Vehicle Muffler (자동차용 머플러의 피로수명평가를 위한 통계적 분석)

  • Choi, Ji-Hun;Lee, Yong-Jun;Yoon, Jin-Ho;Kang, Sung-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.3
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    • pp.365-372
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    • 2013
  • In this study, a statistical method for evaluating the fatigue life of a vehicle muffler was used to obtain reliable fatigue data using a limited number of specimens. Cyclic bending tests were conducted using specimens manufactured to be exactly the same as the mufflers installed in cars that are currently in use. To estimate the fatigue life by comparing the data obtained during the fatigue tests, the most suitable probability density function for the normal, lognormal, and Weibull distributions was selected. A goodness-of-fit test was performed on the probability distributions, and then a Weibull distribution using the least square method was selected. By using the selected Weibull distribution, the probability-moment-life curves (P-M-N curve) reflecting the fatigue characteristics were suggested as the data for the reliable design of a muffler.

Tunable $CO_2$ Laser for FIR Laser Pumping (원적외선 레이저 펌핑용 가변파장 $CO_2$ 레이저)

  • 진윤식;정기형;이헌주
    • Korean Journal of Optics and Photonics
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    • v.1 no.2
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    • pp.155-161
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    • 1990
  • A Continous wave tunable $CO_2$ laser which is the slow axial flow type was construccted for the optical pumping of methyl alcohol ($CH_3OH$) laser. The reflective grating of 100 grooveslmm and 10.6$\mu\textrm{m}$ blaze wavelength was used to select wavelength. We have investigated continous outpu: power characteristics, and then have compared tuned output power profile with the gain curve of $CO_2$ laser. The optimum condition for maxium power was found at the gas mixing ratio 1 : 3 : 10 for $CO_2: N_2$ and He. under this condition the flow rate, pressure of lasing gas and discharge current are 9.5 llmin. 14 torr, and 55 mA respectively. The maxium output power was 55 Wlm. Output power of single wavelength operation was measured on 60 individual rotation vibration transitions in the P and K branches of the 9.5$\mu\textrm{m}$ band and 10.4$\mu\textrm{m}$ band in $CO_2$. The output power profile obtained from each band is well consistent with the gain curve of $CO_2$ laser and maxium tuned output power was 20 watt.

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GaAs기판의 orientation에 따른 InGaP/InAlGaP 이종접합 태양전지의 소자 특성에 대한 연구

  • Kim, Jeong-Hwan
    • Proceedings of the Korean Vacuum Society Conference
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    • 2016.02a
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    • pp.333-333
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    • 2016
  • 현재까지 가장 높은 광전류 변환 효율을 나타내는 III-V 화합물 반도체의 다중접합 태양전지 대신 이보다 단순한 에피구조를 가진 단일셀 이종접합구조의 태양전지를 제안하였다. 이를 한국나노 기술원에서 MOCVD(Metalorganic Vapour Phase Epitaxy) 장비를 이용하여 에피구조를 성장하고 태양 전지를 제작해 그 특성을 조사하였다. 태양 전지는 서로 다른 orientation의 두 GaAs 기판에 각각 동일한 에피 구조로 성장되었다. GaAs 기판은 Si 도핑된 n-type 기판으로 (100) 표면이 <111>A 방향으로 2도 off 된 웨이퍼와 10도 off 된 웨이퍼가 사용되었다. 연구에서 시뮬레이션에 사용된 태양전지의 에피 구조는 맨 위 p-GaAs (p-contact 층), p-InAlP, p-InGaP의 광흡수층과 N-InAlGaP 층과 아래의 n-InAlP와 n-GaAs의 n-contact층으로 이루어져있다.태양전지는 $5mm{\times}5mm$의 면적을 가지고 있다. 그림 1은 전류-전압의 측정된 결과를 나타낸 그래프이다. 태양전지는 1 sun 조건하에서 probe를 이용해 측정되었다. 2도 off GaAs 기판 위에 성장시킨 태양전지에서는 3.7mA의 단락전류값이, 10도$^{\circ}$ off 인 샘플에서는 4.7mA의 단락전류값이 측정되었다. 반면에 전류-전압곡선으로부터 얻은 10도 off 인 태양전지의 직렬 저항값은 2도 off 인 태양전지의 약4배 정도로 나타났다. 이는 기판의 결정방향에 따라 태양전지의 내부 전하 transport에 차이가 있음을 나타낸다. TLM (Transmission Line Model) 방법에 의한 p-contact의 ohmic저항 측정에서도 이와 일치하는 결과를 얻었다.

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Determination of cimetidine injection by square wave voltammetry (네모파 전압전류법에 의한 Cimetidine 주사액의 정량분석)

  • Lee, Soo-Jung;Hahn, Young-Hee
    • Analytical Science and Technology
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    • v.23 no.1
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    • pp.68-73
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    • 2010
  • In order to develop the square wave voltammetric method determining cimetidine in an ampoule for injection, $5.00{\times}10^{-4}\;M$ cimetidine HCl solutions prepared with phosphate buffers of various pH values (3.01~8.97) were investigated by SWV. The well defined single peak due to the electrochemical reduction of -C=N-C$\equiv$N- in the structure of cimetidine moved towards the cathodic direction by -0.051V/pH as the pH values were increased indicating the involvement of hydrogen in its reduction. The calibration curves of cimetidine HCl in the concentration range between $1.00{\times}10^{-5}\;M$ and $5.00{\times}10^{-3}\;M$ prepared using three phosphate buffers yielded the slopes of 127,407nA/M (pH 3.01), 115,125nA/M (pH 5.00) and 111,287nA/M(pH 7.00) with excellent linearities of $R^2{\geqq}0.9997$. When one ampoule of Tagma Inj.$^{(R)}$ was analyzed by standard addition method by SWV, the within-day precision study (n=4) on the day of sample preparation resulted in the contents of cimetidine as $203{\pm}3.8\;mg$ (102% of the specified contents, RSD of 1.9%) and the inter-day precision (n=4) through 5 days was reasonable as 1.3% of RSD.

Numerical Analysis of a Two-Dimensional N-P-N Bipolar Transistor-BIPOLE (2차원 N-P-N 바이폴라 트랜지스터의 수치해석-BIPOLE)

  • 이종화
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.21 no.2
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    • pp.71-82
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    • 1984
  • A programme, called BIPOLE, for the numerical analysis of twotimensional n-p-n bipolar transistors was developed. It has included the SRH and Auger recolnbination processes, the mobility dependence on the impurity density and the electric field, and the band-gap narrowing effect. The finite difference equations of the fundamental semiconductor equations are formulated using Newton's method for Poisson's equation and the divergence theorem for the hole and electron continuity equations without physical restrictions. The matrix of the linearized equations is sparse, symmetric M-matrix. For the solution of the linearized equations ICCG method and Gummel's algorithm have been employed. The programme BIPOLE has been applied to various kinds of the steady-state problems of n-p-n transistors. For the examples of applications the variations of common emitter current gain, emitter and diffusion capacitances, and input and output characteristics are calculated. Three-dimensional representations of some D.C. physical quantities such as potential and charge carrier distributions were displayed. This programme will be used for the nome,rical analysis of the distortion phenom ana of two-dimensional n-p-n transistors. The BIPOLE programme is available for everyone.

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Studies on Food Preservation by Controlling Water Activity 1. Measurement of Sorption Isotherm of Dried Filefish Muscle by Equilibration in Dynamic Stream of Conditioned Air (식품보장과 수분활성에 관한 연구 1. 조절기류에 의한 건조말쥐치육의 등온흡습곡선의 측정)

  • HAN Bong-Ho;CHOI Soo-Il
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.14 no.4
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    • pp.189-193
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    • 1981
  • An apparatus for continuous measurements of sorption isotherm of dried food was manufactured to shorten the time required for equilibration. The apparatus was so designed that the temperature, air velocity and relative humidity in the experimental chamber could be controlled. The use of dynamic stream of conditioned air with a velocity of 0.2m/sec, instead of static atmosphere, allowed a faster equilibration of dried filefish muscle at $25^{\circ}C$. The mean time necessary for the equilibration of dried filefish muscle at the water activity of a given state to a higher water activity was about 45 hours. The monolayer moisture content of dried filefish muscle calculated from BET-equation was 0.092 kg water /kg dry matter at $25^{\circ}C$.

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The Crystallograpic and Magnetic Properties of EuFeO3 Doped with in ions (In 이온을 첨가한 $EuFeO_{3}$의 결정구조 및 자기적 성질)

  • 김정기;서정철;한은주
    • Journal of the Korean Magnetics Society
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    • v.4 no.4
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    • pp.335-339
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    • 1994
  • The crystallograpic and magnetic properties of $Eu(Fe_{1-x}In_{x})O_{3}$ (x=0, 0.03과 0.05) have been studied by the methods of X-ray diffraction, $M\"{o}ssbauer$ spectroscopy, and magnetic hysteresis measurement at room temperature. The X-ray results show that the samples have a crystal structure of orthorhombic and unit cell volume of the crystal with the exception of the sample of x=0 increases as increasing the In concentration. In the analysis assuming two sets of six-line of $M\"{o}ssbauer$ spectra, it is found that the magnetic hyperfine field in each of sets decreases increasing x. The linewidth of the absorption lines for the samples increased as increasing x. This implies that the data involve a sum of several hyperfine patterns which have intensity being proportional to $_{n}P_{z}(x)$, the probability of an environment with z such Fe neighbors. The magnetic hysteresis curves show decrease of $M_{s}$ and increase of $H_{c}$ of the samples with increasing x.

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Determination of Sulfur Requirement to Adjust pH of Alkaline Soil by Buffer Curve Method (알칼리성 토양 pH 교정시 완충곡선법을 이용한 황 시용량 결정)

  • Lee, In-Bog;Lim, Jae-Hyun;Yiem, Myoung-Soon
    • Korean Journal of Soil Science and Fertilizer
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    • v.33 no.6
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    • pp.405-415
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    • 2000
  • To determine application rate of elemental sulfur to adjust pH of alkaline soil, buffer curve method was investigated. The elemental sulfur required to control pH 8.3 to pH 6.3 by buffer curve calculation was treated in two soils of silty loam and sandy loam, and the sulfur-mixed soils were moistened with 50% of water holding capacity during incubation of 6 weeks at $30^{\circ}C$. Soil pH was lowered with incubation and reached to target point after 4 weeks of incubation, and elemental sulfur was oxidised entirely to sulfate. This means that buffer curve has the accuracy to determine sulfur application rate in alkaline soil. However it is estimated that application rate of sulfur should be carefully determined in the field scale. Excess application of elemental sulfur resulted in extremely low soil pH and caused the hinderance of lettuce growth by nutritional imbalance and ion toxicity. To simplify the determination procedure of sulfur requirement, buffer curve method by addition of 0.1N-HCl solution as unit of mL was developed, it was compared with theroutine methods which diluted $H_2SO_4$ solution and $Ca(OH)_2$ are added as cmolc per kg soil to adjust each pH step. Buffer capacities, cmolc kg $soil^{-1}$ $pH^{-1}$, calculated from two buffer curves were not significantly different. The result indicates that buffer curve method by 0.1N-HCl can be used to adjust high pH of alkaline soil.

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