• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
• /
• 2008.05a
• /
• pp.264-267
• /
• 2008

Many researchers have studied synthesis method of 90/150 group CA. However, there is a lack of researches for synthesis method of 90/150 nongroup CA. In this paper we report some interesting properties of 90/150 multiple-attractor CA in which all of the cycles are of unit length. 90/150 multiple-attractor CA is a class of nongroup CA. And we propose a construction of 90/150 single-attractor CA. Also we construct 90/150 multiple-attractor CA derived from 90/150 single-attractor CA.

• The Journal of the Korea institute of electronic communication sciences
• /
• v.16 no.3
• /
• pp.533-540
• /
• 2021

To evaluate the performance of a system, one-dimensional 3-neighborhood cellular automata(CA) based pseudo-random generators are widely used in many fields. Although two-dimensional CA and one-dimensional 5-neighborhood CA have been applied for more effective key sequence generation, designing symmetric one-dimensional 5-neighborhood CA corresponding to a given primitive polynomial is a very challenging problem. To solve this problem, studies on one-dimensional 5-neighborhood CA synthesis, such as synthesis method using recurrence relation of characteristic polynomials and synthesis method using Krylov matrix, were conducted. However, there was still a problem with solving nonlinear equations. To solve this problem, a symmetric one-dimensional 5-neighborhood CA synthesis method using a transition matrix of 90/150 CA and a block matrix has recently been proposed. In this paper, we detail the theoretical process of the proposed algorithm and use it to obtain symmetric one-dimensional 5-neighborhood CA corresponding to high-order primitive polynomials.

• The Journal of the Korea institute of electronic communication sciences
• /
• v.13 no.3
• /
• pp.593-600
• /
• 2018

Cellular automata (CA) have been applied to effective cryptographic system design. CA is superior in randomness to LFSR due to the fact that its state is updated simultaneously by local interaction. To apply these CAs to the cryptosystem, a study has been performed how to synthesize CA corresponding to given polynomials. In this paper, we analyze the recurrence relations of the characteristic polynomial of the 90 UCA and the characteristic polynomial of the 90/150 CA whose transition rule is <$00{\cdots}001$>. And we synthesize the 90/150 CA corresponding to the trinomials $x^{2^n}+x+1(n{\geq}2)$ satisfying f(x)=f(x+1) using the 90 UCA transition rule blocks and the special transition rule block. We also analyze the properties of the irreducible factors of trinomials $x^{2^n}+x+1$ and propose a 90/150 CA synthesis algorithm corresponding to $x^{2^n}+x^{2^m}+1(n{\geq}2,n-m{\geq}2)$.

• The Journal of the Korea institute of electronic communication sciences
• /
• v.5 no.1
• /
• pp.10-16
• /
• 2010

90/150 CA is a CA completely specified by using rule 90 and rule 150. Since 90/150 CA whose minimal and characteristic polynomials are identical has outstanding randomness, this CA is more attractive than LFSR. Sarkar proposed a scheme based on the 90 uniform CA and the 150 uniform CA. That scheme provided authentication by digital signature and other basic security requirements like confidentiality. In this paper we analyze 90 or 150 uniform CA and give a synthesis method of 2n-cell uniform CA and (2n+1)-cell uniform CA using a special n-cell 90/150 CA. And we propose an effective method of computation of characteristic polynomial corresponding to uniform CA.

• Journal of the Korean Crystal Growth and Crystal Technology
• /
• v.29 no.5
• /
• pp.203-207
• /
• 2019

Calcium phosphates such as hydroxyapatite (HAp), tricalcium phosphate (${\beta}$-TCP), and biphasic calcium phosphate (BCP, HAp/${\beta}$-TCP) have been prepared via hydrothermal treatment. The synthesis was conducted by reacting ($Ca(OH)_2$) aqueous solution with phosphoric acid ($H_3PO_4$) under different hydrothermal synthesis conditions (temperatures up to $150^{\circ}C$ and pH lower than 12). The effects of initial precursor Ca/P ratio (1.30, 1.50 and 1.67) and post heat treatment on the phase evolution behavior of the powders and sintered ceramics were investigated. The phases of resulting powders and sintered ceramics were controllable by adjusting the initial Ca/P ratio. A single HAp phase without any noticeable second phase was obtained for the initial Ca/P ratio of 1.67 in the overall heat treatment range. Pure ${\beta}$-TCP and biphasic calcium phosphate (HAp/${\beta}$-TCP) were synthesized from precursor solutions having Ca/P molar ratios of 1.30 and 1.50, respectively, after having been heat treated at $900^{\circ}C$ or higher. Dense ceramics with translucency were obtained at considerably lower sintering temperatures.

• The Journal of the Korea institute of electronic communication sciences
• /
• v.15 no.6
• /
• pp.1105-1112
• /
• 2020

One-dimensional 3-neighborhood Cellular Automata (CA)-based pseudo-random number generators are widely applied in generating test patterns to evaluate system performance and generating key sequence generators in cryptographic systems. In this paper, in order to design a CA-based key sequence generator that can generate more complex and confusing sequences, we study a one-dimensional symmetric 5-neighborhood CA that expands to five neighbors affecting the state transition of each cell. In particular, we propose an n-cell one-dimensional symmetric 5-neighborhood CA synthesis algorithm using the algebraic method that uses the Krylov matrix and the one-dimensional 90/150 CA synthesis algorithm proposed by Cho et al. [6].

• Cement Symposium
• /
• no.32
• /
• pp.103-106
• /
• 2005

유해 중금속을 다량 함유하고 있는 산업폐기물의 고화 처리에 사용되는 칼슘설포알루미네이트(4CaO$\cdot$$3Al_2O_3$$\cdot$$SO_4$이후부터 CSA로 기입) 의 제조를 위해 철강부산물인 압연 슬러지를 활용하여 그 특성에 대해 조사하였다. 본 연구에서는 철강 부산물인 압연슬러지 외에 석회석 미분물, 인산부산 석고를 혼합하여 칼슘알루미네이트상을 합성하였다. 합성 결과 소성온도 1250$^{\circ}C$에서부터 CSA가 합성되었고, 이와 함께 칼슘실리케이트 (2CaO$\cdot$$SiO_2$)와 칼슘알루미노페라이트(4CaO$\cdot$$Al_2O_3$$\cdot$$Fe_2O_3$)도 함께 합성되었다. CSA 합성에 미치는 중금속 영향을 관찰한 결과 원료의 중금속이 CSA 합성 온도를 낮추는 효과가 있는 것으로 나타났다. CSA를 이용한 철강산업 폐기물의 중금속 고용 처리 연구에서도 본 실험에서 합성된 CSA가 폐기물의 중금속 고화 처리에 효과가 있는 것으로 나타났다.

• Journal of the Korean Crystal Growth and Crystal Technology
• /
• v.8 no.1
• /
• pp.160-168
• /
• 1998

In order to investigate the color variation and the solubility limit in wagnerites by metal ion substitution, wagnerite ($A_2XO_4Z$) was synthesized and then, substituted by coloring metal ions, especially $CO^{2+},Ni^{2+}$ and $Cu^{2+}$ ions. When calcium was replaced with Mg, Co, Ni and Cu divalent ions, solid solutions were formed with a limited solubility. Single phase wagnerites were synthesized by the substitution of Ca with Mg and Co, and their colors were white and purple, respectively. Substitutions with $Li^+$ were succeeded in the specific composition and the substitution of vanadium for $X^{5+}$ were attempted, resulting in the wagnerites of dark purple, dark gold and light yellow colors. The substitution of chlorine was, also, attmepted for the fluorine site.

• The Journal of the Convergence on Culture Technology
• /
• v.9 no.5
• /
• pp.523-528
• /
• 2023

The applicability as a material to improve solar cell performance was reviewed by synthesizing a phosphor that emits red wavelengths by a liquid synthesis method using a metal salt aqueous solution and a polymer medium as a starting material. An aqueous solution was prepared using nitrate of metals such as Ca, Zn, Al, and Eu, and a precursor impregnated with starch, a natural polymer, was sintered to synthesize CaZnAlO:Eu phosphor powder. The surface structure and composition analysis of the synthesized CaZnAlO:Eu phosphor powder were analyzed by scanning electron microscope(SEM) and energy-dispersed X-ray spectroscopy(EDS). The crystal structure of CaZnAlO:Eu phosphor particles was analyzed by an X-ray diffraction analyzer (XRD). As a result of measuring the photoluminescence(PL) characteristics of the phosphor, it was confirmed that a red phosphor with a light emitting wavelength of 650-780nm was successfully synthesized. According to SEM and EDS analysis, the synthesized Ca₁₄Zn₆Al_9.93O₃₅:Eu³⁺_0.07 phosphor powder has a uniform particle size, and Eu ions used as an activator are present. The synthesized CZA:Eu³⁺ phosphor can be used as a material that can increase the light absorption efficiency of the solar cell by converting ultraviolet or visible light down conversion into a wavelength in the near-infrared region.

• Journal of the Mineralogical Society of Korea
• /
• v.13 no.4
• /
• pp.221-230
• /
• 2000

이성분 희토류 원소로 치환된 4종류의 합성불화인회석(synthetic fluorapatite) (Ap49: La+Gd, Ap50:Ce+Dy, Ap51: Pr+Er, Ap54: Eu+Lu; $Ca{10-x-2y}$ $Na_{y}$ $REE_{x+y}$($P_{1-x}$ //$Si_{x}$ $_{4}$)$_{6}$ $F_{2}$, x=0.13~0.12, y=0.26~0.42)을 대상으로 X-선 회절분석을 통해 얻어진 자료를 이용하여 리트벨트 구조분석을 실시하고 치환된 희토류원소의 거동을 단결정법으로 구해진 결과와 비교.분석하였다. 리트벨트 구조분석결과 합성불화인회석은 공간군 $P6_3$/m, 단위포는 평균하여 a=9.3906(1) $\AA$, c=6.8924(1) $\AA$, V=527.36 $\AA^3$의 값을 갖는다. 구조의 정밀도를 나타내는 R 지수를 보면 $R_{B}$ / 값은 17.29~18.80이고 S(GofF)값은 1.44~1.68로 계산되었다. 불화인회석은 9개의 산소를 배위하는 Ca1자리와 6개의 산소와 하나의 불소가 배위하는 Ca2자리가 있으며 Ca1-O의 평균거리는 2.563 $\AA$이고 Ca2-O의 평균거리는 $2.460 \AA$으로 Ca1자리가 Ca2자리보다 다소 크다. 구조자리 치환식에서는 $Ca^{2+}$ / 자리를 치환하는 $REE^{3+ }$ 로 인하여 전하균형을 맞춰주기 위해서 인과규소가 함께 참여하였다. ($REE^{3}$+Si$^{ 4+}$ $2Ca^{2+}$ : Ca1) 계산된 희토류원소의 자리점유율(REE-Ca2/REE-Cal)은 원자번호가 증가함에 따라 일정하게 감소하는 경향을 보여주며 이는 희토류원소의 거동이 LREE는 크기가 상대적으로 작은 Ca2 자리에 우선 치환되고 HREE는 크기가 큰 Ca1자리에 우선 치환되는 경향을 지시한다.