• Title/Summary/Keyword: S-N 법

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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.

Rf Magnetron Sputter로 증착된 ZrN박막의 후열처리 효과에 따른 Nano-electrotribology 특성변화 연구

  • Kim, Seong-Jun;Park, Myeong-Jun;Kim, Su-In;Lee, Chang-U
    • Proceedings of the Korean Vacuum Society Conference
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    • 2014.02a
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    • pp.355.2-355.2
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    • 2014
  • Zirconium nitride (ZrN)는 높은 열적, 화학적 특성과 우수한 기계적 강도, 낮은 전기 저항성 때문에 절삭공구, 의료용품 등으로 널리 사용된다. 특히 물리증착법 (PVD)으로 증착 할 경우 실제 hardness보다 높은 특성을 가지고 내마모성과 고온에서 hardness가 우수한 것으로 알려져 있다. 본 실험에서는 물리증착법 중 하나인 rf magnetron sputter를 사용하여 질소 유량에 따른 zirconium nitride 박막을 증착하였다. 그 후, $600^{\circ}C$, N2 분위기에서 후열처리를 진행하였고, 후열처리에 따른 박막의 nano-electrotribology 특성 변화를 관찰하기 위해 nano-indenter를 사용하였다. 측정결과, 질소 유량이 0, 0.5, 5 sccm으로 변함에 따라 증착된 박막의 hardness는 18.62, 15.64, 13.58 GPa로 각각 감소되었으며, elastic moduls도 210.43, 185.15, 171.52 GPa로 감소하였다. 이는 증착 과정에서 과포화된 N2 가 후열처리 과정에서 빠져 나오는 것으로 알 수 있다.

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catalyst-free 유기금속 화학증착법을 이용한 InN nanorods의 성장

  • Kim, Min-Hwa;Hong, Yeong-Jun;Jeong, Geon-Uk;Park, Seong-Hyeon;Lee, Geon-Hun;Mun, Dae-Yeong;Jeon, Jong-Myeong;Kim, Mi-Yeong;Lee, Gyu-Cheol;Yun, Ui-Jun
    • Proceedings of the Korean Vacuum Society Conference
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    • 2010.02a
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    • pp.126-126
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    • 2010
  • 본 연구에서는 catalyst-free 유기금속 화학증착법 (MOCVD)를 이용하여 사파이어 (0001)면 위에 직접 InN nanorods를 성장하였다. InN 박막의 성장에서 TMIn과 $NH_3$를 전구체로 사용하였으며, 캐리어 가스로는 질소를 사용하였다. 성장 전, 기판에 $1100^{\circ}C$에서 3분간 nitridation 처리를 거친 후 온도를 낮춰 $630{\sim}730^{\circ}C$의 온도범위 에서 InN 박막을 성장하였다. 이때 $710^{\circ}C$의 온도에서 박막은 columnar growth의 특성을 보였으며 동일조건에서 80분간 성장시킨 결과 InN nanorods가 성장되었다. 성장시킨 InN nanorod는 X-선 회절 측정법, 주사 전자 현미경 그리고 투과 전자 현미경을 이용하여 그 특성을 분석하였다. 투과 전자 현미경을 통한 분석결과 지름이 150~200 nm이며 그 길이는 수 ${\mu}m$인 InN nanorod가 성공적으로 성장되었음을 확인하였다. 또한 X-선 회절 측정법과 주사 전자 현미경을 통한 분석에서 이들 nanorods가 대부분 c 방향으로 수직하게 정렬되어 있음을 확인하였다. 또한 Ti/Au (120/80 nm)를 전극으로 사용하여 개개의 nanorod의 전기적 특성을 분석한 결과 linear한 I-V특성이 관찰되었으며 비저항은 평균적으로 $0.0024\;{\Omega}cm$ 이었다. transfer 특성의 측정결과 -50V까지 게이트 전압을 인가하여도 드레인 전류의 변화는 매우 적어 doping level이 상당히 높다고 예상가능하다. 또한 mobility는 $133\;cm^2/Vs$로 도출되었다.

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A Study on the Stability of Langmuir-Blodgett(LB) Films of L-${\alpha}$-Phosphatidylethanolamine Monolayer (L-${\alpha}$-Phosphatidylethanolamine 단분자층 LB막의 안정성에 관한 연구)

  • Park, Keun-Ho
    • Journal of the Korean Applied Science and Technology
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    • v.31 no.1
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    • pp.44-49
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    • 2014
  • We were investigated by cyclic voltammetry to the stability through the electrochemical characteristics of phospholipid(L-${\alpha}$-phosphatidylethanolamine, LAPE) monolayer LB films. LAPE monolayer LB films was deposited by the LB method on the indium tin oxide(ITO) glass. The electrochemical properties was measured by cyclic voltammetry with a three-electrode system in 0.5 N, 1.0 N, 1.5 N and 2.0 N $KClO_4$ solution. The measuring range is continuously oxidized to 1650 mV, with an initial potential of -1350 mV was reduced. Scanning rates of 50, 100, 150, 200, and 250 mV/s was set. As a result, LB monolayer films of LAPE was appeared on irreversible processes by the oxidation current from the cyclic voltammogram. Diffusion coefficient (D) of LAPE was calculated 195, 15.9, 5.75, 1.38 and $0.754cm^2s^{-1}{\times}10^{-9}$ at 0.01 N, 0.05 N, 0.10 N, 0.15 N and 0.20 N $KClO_4$ solutions, respectively.

A Study on the Determination of$N(NO_2^-),\;N(NO_3^-)$and$N(NH_4^+)$in Environmental Samples by Flow Injection Analysis (흐름주입분석법에 의한 환경시료 중$N(NO_2^-),\;N(NO_3^-)$$N(NH_4^+)$의 정량분석에 관한 연구)

  • Rhee, Jae Seong;Kim, Young Sang;Jung, Yun Hee;Rhee, Hee Jung
    • Journal of the Korean Chemical Society
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    • v.41 no.5
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    • pp.256-265
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    • 1997
  • A rapid and sequential method was studied, which can determine nitrite, nitrate and ammonium ion in soil or water samples with flow injection analysis. Geometric factors including injection volume, length of the reaction coil and flow rate of carrier solution were investigated prior to sample measurement. Nitrite was determined at 540 nm by Griess reaction producing azo dye between N-(1-naphthylethylenediamine dihydrochloride) and sulfanilamide. Nitrate was also measured under the help of reduction mechanism toward nitrite with hydrazine. Ammonium was analyzed at 440 nm with Nessler's reagent. At the optimum condition, the detection limit(S/N=3) has been shown 0.1 ㎍/mL N(NO2-), 0.4 ㎍/mL N(NO3-) and 0.3 ㎍/mL N(NH4+) respectively. The results measured by colorimetry, ion chromatography and FIA were compared showing 80%-125% reasonable match each other. Injection throughput rate could be performed better than 30 times per hour.

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Controlling the Properties of Graphene using CVD Method: Pristine and N-doped Graphene (화학기상증착법을 이용한 그래핀의 물성 조절: 그래핀과 질소-도핑된 그래핀)

  • Park, Sang Jun;Lee, Imbok;Bae, Dong Jae;Nam, Jungtae;Park, Byung Jun;Han, Young Hee;Kim, Keun Soo
    • KEPCO Journal on Electric Power and Energy
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    • v.1 no.1
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    • pp.169-174
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    • 2015
  • In this research, pristine graphene was synthesized using methane ($CH_4$) gas, and N-doped graphene was synthesized using pyridine ($C_5H_5N$) liquid source by chemical vapor deposition (CVD) method. Basic optical properties of both pristine and N-doped graphene were investigated by Raman spectroscopy and XPS (X-ray photoemission spectroscopy), and electrical transport characteristics were estimated by current-voltage response of graphene channel as a function of gate voltages. Results for CVD grown pristine graphene from methane gas show that G-peak, 2D-peak and C1s-peak in Raman spectra and XPS. Charge neutral point (CNP; Dirac-point) appeared at about +4 V gate bias in electrical characterization. In the case of pyridine based CVD grown N-doped graphene, D-peak, G-peak, weak 2D-peak were observed in Raman spectra and C1s-peak and slight N1s-peak in XPS. CNP appeared at -96 V gate bias in electrical characterization. These result show successful control of the property of graphene artificially synthesized by CVD method.

Evaluation of Vibration Fatigue Life of Shipboard Equipment Made of Aluminum Alloy A356 (주조 알루미늄합금 A356을 사용한 해상구조물의 진동피로수명평가)

  • Cho, Ki-Dae;Kim, Jie-Eok;Yang, Sung-Chul;Jung, Hwa-Young;Kang, Ki-Weon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.9
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    • pp.1257-1263
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    • 2010
  • The naval structure exposes to environmental vibration of shafted propeller propulsion and engine vibration. The shipboard equipments are developed compliance to MIL-STD-167-1A. For this purpose, vibration fatigue life of shipboard equipment for long lives should be estimate via an analytical approach and vibration test. In this paper, High cycle fatigue strength of cast aluminum alloy A356 using shipboard equipment was evaluated by 14 S-N method. The stress applied on the structure is evaluated by an analytical method(frequency response analysis with sinusoidal input and a fatigue evaluation) to simulate a MIL-STD-167-1A test. The frequency with the maximum equivalent stress is shown by Max. test frequency and the vibration fatigue life of shipboard equipment was estimated by Miner's rule.

A Step-by-Step Primality Test (단계적 소수 판별법)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.13 no.3
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    • pp.103-109
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    • 2013
  • Miller-Rabin method is the most prevalently used primality test. However, this method mistakenly reports a Carmichael number or semi-prime number as prime (strong lier) although they are composite numbers. To eradicate this problem, it selects k number of m, whose value satisfies the following : m=[2,n-1], (m,n)=1. The Miller-Rabin method determines that a given number is prime, given that after the computation of $n-1=2^sd$, $0{\leq}r{\leq}s-1$, the outcome satisfies $m^d{\equiv}1$(mod n) or $m^{2^rd}{\equiv}-1$(mod n). This paper proposes a step-by-step primality testing algorithm that restricts m=2, hence achieving 98.8% probability. The proposed method, as a first step, rejects composite numbers that do not satisfy the equation, $n=6k{\pm}1$, $n_1{\neq}5$. Next, it determines prime by computing $2^{2^{s-1}d}{\equiv}{\beta}_{s-1}$(mod n) and $2^d{\equiv}{\beta}_0$(mod n). In the third step, it tests ${\beta}_r{\equiv}-1$ in the range of $1{\leq}r{\leq}s-2$ for ${\beta}_0$ > 1. In the case of ${\beta}_0$ = 1, it retests m=3,5,7,11,13,17 sequentially. When applied to n=[101,1000], the proposed algorithm determined 96.55% of prime in the initial stage. The remaining 3% was performed for ${\beta}_0$ >1 and 0.55% for ${\beta}_0$ = 1.

Estimation of the Flash Point for n-Pentanol + n-Propanol and n-Pentanol + n-Heptanol Systems by Multiple Regression Analysis (다중회귀분석법을 이용한 n-Pentanol + n-Propanol계 및 n-Pentanol + n-Heptanol계의 인화점 예측)

  • Ha, Dong-Myeong;Lee, Sungjin
    • Fire Science and Engineering
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    • v.30 no.6
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    • pp.31-36
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    • 2016
  • The flash point is one of the most important properties for characterizing the fire and explosion hazard of liquid solutions. In this study, the flash points of two flammable binary mixtures, n-pentanol + n-propanol and n-pentanol + n-heptanol systems were measured using a Seta flash closed cup tester. The flash point was estimated using the methods based on Raoult's law and multiple regression analysis. The measured flash points were also compared with the predicted flash points. The absolute average errors (AAE) of the results calculated by Raout's law were $1.3^{\circ}C$ and $1.3^{\circ}C$ for the n-pentanol + n-propanol and n-pentanol + n-heptanol mixtures, respectively. The absolute average errors of the results calculated by multiple regression analysis were $0.4^{\circ}C$ and $0.3^{\circ}C$ for the n-pentanol + n-propanol and n-pentanol + n-heptanol mixtures, respectively. According to the AAE, the calculated values based on multiple regression analysis were better than those based on Raoult's law.

The Molecular and Crystal Structure of tricyclazole, $C_9H_7N_3S$ (Tricyclazole, $C_9H_7N_3S$ 의 분자 및 결정구조)

  • Keun Il Park;Young Kie Kim;Sung Il Cho;Man Hyung Yoo
    • Korean Journal of Crystallography
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    • v.13 no.3_4
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    • pp.152-157
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    • 2002
  • The molecular and crystal structure of Tricyclazole, C/sub9/H/sub7/N₃S, has been determined by single crystal x-ray diffraction study. Crystallographic data for title compound: Pca2₁, a=14.889(1) Å, b=7.444(1) Å, c=15.189(2) Å, V=1683.3(3) ų, Z= 8. The molecular structure model was solved by direct methods and refined by full-matrix least-squares. The final reliable factor, R, is 0.047 for 1533 independent reflections (F/sub o//sup 2/)). The asymmetry unit contains two molecules which are in plate conformation, parallel to each other and related by a pseudo four-fold screw on the b-direction.