• The Journal of the Korea institute of electronic communication sciences
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• v.4 no.3
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• pp.197-203
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• 2009

Finite field arithmetic is very important in the area of cryptographic applications and coding theory, and it is efficient to use normal bases in hardware implementation. Using the fact that $GF(2^{mk})$ having a type-I optimal normal basis becomes the extension field of $GF(2^m)$, we, in this paper, propose a new serial multiplier which reduce the critical XOR path delay of the best known Reyhani-Masoleh and Hasan's serial multiplier by 25% and the number of XOR gates of Kwon et al.'s multiplier by 2 based on the Reyhani-Masoleh and Hasan's serial multiplier for type-I optimal normal basis.

• Journal of Korea Society of Industrial Information Systems
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• v.7 no.3
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• pp.1-8
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• 2002

Modular Multiplication in Galois Field GF(2/sup m/) is a basic operation for many applications, particularly for public key cryptography. This paper presents a new architecture that can process modular multiplication on GF(2/sup m/) per m clock cycles using a cellular automata. Proposed architecture is more efficient in terms of the space and time than that of systolic array. Furthermore it can be efficiently used for the hardware design for exponentiation computation.

• Journal of the Korean Institute of Telematics and Electronics
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• v.23 no.3
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• pp.295-308
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• 1986

This paper presents a method of constructing multiple-valued logic functions based on Galois field. The proposed algorithm assigns all elements in GF(2**m) to bit codes that are easily converted binary. We have constructed an adder and a multiplier using a multiplexer after bit code operation (addition, multiplication) that is performed among elements on GF(2**m) obtained from the algorithm. In constructing a generalized multiple-valued logic functions, states are first minimized with a state-transition diagram, and then the circuits using PLA widely used in VLSI design for single and multiple input-output are realized.

• Journal of the Korean Institute of Telematics and Electronics
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• v.27 no.5
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• pp.747-755
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• 1990

In this paper, we presented a method of constructing a multiplier and an inverse element generator over finite field GF(3**m). We proposed the multiplication method using a descending order arithmetics of mod F(X) to perform the multiplication and mod F(X) arithmetics at the same time. The proposed multiplier is composed of following parts. 1) multiplication part, 2) data assortment generation part and 5) multiplication processing part. Also the inverse element generator is constructed with following parts. 1) multiplier, 2) group of output registers Rs, 3) multiplication and cube selection gate Gl, 4) Ri term sequential selection part. 5) cube processing part and 6) descending order mod F(X) generation part. Especially, the proposed multiplier and inverse element generator give regularity, expansibility and modularity of circuit design.

• Polymer(Korea)
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• v.38 no.6
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• pp.726-734
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• 2014

Three different types of additives, thiokol, epoxidized natural rubber (ENR) and epoxidized linseed oil (ELO), were dispersed in an epoxy matrix before being used in glass fiber (GF) composites, and their effects on the mechanical and dielectric properties of epoxy resin and glass fiber reinforced epoxy composites (GF/EP) were examined. The addition of each of 7 phr ENR, 9 phr ELO and 5 phr thiokol into the epoxy resin increased the fracture toughness significantly by 56.9, 43.1, and 80.0%, respectively, compared to the unmodified resin. The mode I interlaminar fracture toughness of the GF/EP at propagation was also improved by 26.9, 18.3 and 32.7% when each of 7 phr ENR, 9 phr ELO, and 5 phr thiokol, respectively, was dispersed in the epoxy matrix. Scanning electron microscopy showed that the additives reduced crack growth in the GF/EP, whereas their dielectric measurements showed that all these additives had no additional effect on the real permittivity and loss factor of the GF/EP.

• Honam Mathematical Journal
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• v.33 no.3
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• pp.381-391
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• 2011

One of the main interesting things of a matroid theory is the representability by a matroid from a matrix over some field F. The representability of uniform matroid $U_{m,n}$ over some field are studied by many authors. In this paper we construct a matrix representing $U_{3,6}$ over the field GF(4). Also we find out matrix of the affine matroid AG(2, 3) over the field GF(4).

• Review of KIISC
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• v.3 no.1
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• pp.86-90
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• 1993

Finite field GF$(2^n)5에서 정의된 elliptic curve가 있을때 그 curve위의 어떤 point p를 k배하는 연산은 암호론에서 매우 자주 쓰여진다. 이때 optimal normal bases를 이용하여 GF$(2^n)의 element를 표현하고, 또 elliptic curve를 선택할 때 animalous curve가 되도록 한다면, 기존이 방법 보다 매우 빠르게 k P를 구할 수 있다.

• Clean Technology
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• v.23 no.3
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• pp.308-313
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• 2017

In this study, we investigated the electrocatalytic effects of the N and O co-doping of Graphite Felt (GF) electrode for the vanadium redox flow battery (VRFB) at the cathode and the anode reaction, respectively. The electrodes were prepared by chemical vapor deposition (CVD) with $NH_3-O_2$ at 773 K, and its effects were compared with an electrode prepared by an O doping treatment. The surface morphology and chemical composition of the electrodes were characterized by scanning electron microscopy (SEM) and photoelectron spectroscopy (XPS). The electrocatalytic properties of these electrodes were characterized in a VRFB single cell comparing the efficiencies and performance of the electrodes at the cathode, anode, and single cell level. The results exhibited about 2% higher voltage and energy efficiencies on the N-O-GF than the O-GF electrode. It was found that the N and O co-doping was particularly effective in the enhancement of the reduction-oxidation reaction at the anode.

• The Korea Journal of Herbology
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• v.30 no.1
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• pp.19-24
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• 2015

Objectives : This study was carried out to know the necessity of freezing and boiling process of Gastrodiae Rhizoma. Also we need to evaluate Gastrodia elata floral axis as a product ingridients. Methods : Frozen Gastrodiae Rhizoma (GF1, GF2) and Gastrodia elata floral axis (GFA) were prepared. They were divided into samples (GF1 : frozen at the freezer, GF2; frozen and boiled for 10 hours, GFA; dried at 7 $0^{\circ}C$ for 120 hours) for experiment. They were extracted using water, freeze dried and powdered. And we analyzed proximate compositions, free sugars, gastrodin, p-hydroxybenzyl alcohol and p-hydroxybenzyl aldehyde content, phenolic and flavonoid, electron donating ability and nitrate scavenging activity and antioxidant activity. Results : In moisture, crude ash, fructose, glucose, sucrose, p-Hydroxybenzyl alcohol GF2 showed lower level than GF1. But GF2 showed higher content than GF1, in crude fat (0.8% > 0.19%), gastrodin ($8.84{\pm}0.58%$ > $4.18{\pm}0.73%$), and p-hydroxybenzyl aldehyde ($2.45{\pm}0.26%$ > $2.07{\pm}0.16%$) content, phenolic ($9.98{\pm}0.07%$ > $3.35{\pm}0.03%$) and flavonoid ($3.01{\pm}0.06%$ > $1.09{\pm}0.04%$) content, electro donating ability ($15.21{\pm}6.51%$ > $10.44{\pm}4.78%$), nitrate scavening activity ($20.43{\pm}5.30%$ > $13.62{\pm}5.78%$). GFA has a relatively lower key indicators component, but has a enough impact on antioxidant effect in phenolic ($11.85{\pm}0.08%$) and flavonoid content ($1.45{\pm}0.03%$), electron donating ability ($18.58{\pm}9.06%$) and nitrate scavenging activity ($19.41{\pm}9.90%$). Conclusions : In the view of proximate compositions, free sugars, functional component and antioxidant activity, the results indicated that boiling process is effective for the frozen Gastrodiae Rhizoma. And Gastrodia elata floral axis has a significantly functional components and antioxidant activity.

• Textile Coloration and Finishing
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• v.27 no.3
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• pp.165-174
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• 2015

To develop automobile parts, the unsaturated polyester based matrix resin(PR)/reinforcement(randomly oriented chopped E-glass fiber, GF) composites were prepared using sheet molding compound(SMC) compression molding. The effects of GF length(0.5, 1.0 1.5 and 2.0inch)/content (15, 20, 25, 30wt%) and number of ply(3, 4 and 5) on the specific gravity and mechanical properties of PR/GF composites were investigated in this study. The optimum length of GF was found to be about 1.0inch for achieving improved mechanical properties(tensile strength and initial modulus). The tensile strength and initial modulus of composites increased with increasing GF content up to 30wt%, which is favorable content range for SMC. The specific gravity, tensile strength/initial modulus, compressive strength/modulus, flexural strength/modulus and shear strength increased with increasing the number of ply up to 5, which is the maximum number of ply range for SMC. The effectiveness of ply number increased in the flexural strength > shear strength > compressive strength > tensile strength.