• Title/Summary/Keyword: GF($2^8$)

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A Study on Functional components, antioxidant activity of Gastrodiae Rhizoma and Gastrodiae Elata floral axis (천마의 근경과 지상부의 성분 및 항산화 활성 연구)

  • Park, Jang-Pill;Lee, Soong-In;Jeong, Jong-Kil
    • 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.

Purification and properties of inulin fructotransferase (Depolymerizing) from Enterobacter sp. S45 (Enterobacter sp. S45 생산 inulin fructotransferase의 정제 및 특성)

  • Kang, Su-Il;Kim, Su-Il
    • Applied Biological Chemistry
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    • v.36 no.2
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    • pp.105-110
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    • 1993
  • Inulin fructotransferase from Enterobacter sp. S45 was purified with DEAE-cellulose column chromatography and fast protein liquid chromatography. The purified enzyme gave a single band on polyacrylamide gel electrophoresis. The molecular weight was estimated to be 42,800 by SDS-polyacrylamide gel electrophoresis. The optimal pH and temperature for the enzyme reaction were pH 5.5 and $55^{\circ}C$, respectively. $Mg^{2+}$ activated the enzyme activity, but $Fe^{3+}$, $Cu^{2+}$, $Hg^{2+}$ significantly inhibited. After exhaustive digestion of inulin by the enzyme, DFA III, sucrose, 1-kestose and nystose were produced. Sucrose, 1-kestose, raffinose and melezitose can't be used as substrates by the enzyme, but nystose and 1-F-fructofuranosyl nystose were hydrolysed. The Km and Vmax for inulin of the enzyme were 1.4 mM and $0.196\;{\mu}mole/min$, respectively.

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EFFECTS OF PROPLAST I AND II IMPLANTATION ON THE SURROUNDING TISSUE RESPONSE AND BONE FORMATION IN RABBIT MANDIBLE (가토 하악골에 Proplast I과 II 이식후 주위 조직반응 및 골형성)

  • Ryu, Sun-Youl;Kim, Geon-Jung
    • Maxillofacial Plastic and Reconstructive Surgery
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    • v.13 no.3
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    • pp.252-264
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    • 1991
  • The purpose of this study was to compare the response of adjacent tissue and new bone formation after implantation by different methods of subperiosteal using using Proplast I and II in rabbit mandible. Microstructure of Proplast I and II was observed by scanning electron microscope. And the implantation procedure was carried out by dividing into tow groups, A and B. a group consisted of subperiosteal graft on the cortex, and the other B group was made up onlay graft following artificial decortication in the madibular body of rabbit. The experimental animals were sacrificed on the 1st, 2nd, 4th and 8th week after grafting for macroscopic and histopathologic examination. The samples extracted at the 6th postgrafting week were also used for biometric test. The result ere as follows : 1. By scanning electron microscopic observation, pore size was $50{\sim}180{\mu}m$ in the Proplast I and $100{\sim}220{\mu}m$ in Proplast II. 2. Macroscopically, infection of the graft site, deformation and displacement of the implanted materials were not observed in all experimental groups. 3. In the tissue response, infiltration of inflammatory cells and multinucleated giant cells were observed from the 2nd to the 8th week in Proplast I. Inflammatory cells decreased in number from the 2nd week in Proplast II suggesting that Proplast II is better than Proplast I. 4. Bone formation was not observed until the 8th week in the group A, but new bone formation from the surrounding graft bed and the periostium was appeared from the 4th week in the group B. 5. The maximum mean values of shear stress mere serially $65.5gf/mm^2$ in Proplast II of group B, $32.9gf/mm^2$ in Proplast I of group B, $17.0gf/mm^2$ in Proplast II of group A, and $15.7gf/mm^2$ in Proplast I. of group A.

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Photocatalytic Decolorization of Rhodamine B using Immobilized TiO2 onto GF/C and Fluidized Bed Reactor (GF/C에 고정된 TiO2와 유동층 반응기를 이용한 Rhodamine B의 광촉매 탈색)

  • 박영식;안갑환
    • Journal of Environmental Science International
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    • v.12 no.12
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    • pp.1277-1284
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    • 2003
  • The photocatalytic oxidation of Rhodamine B (RhB) was studied using immobilized TiO$_2$ and fluidized bed reactor. Immobilized TiO$_2$ onto GF/C was employed as the photocatalyst and a 30 W germicidal lamp was used as the light source and the reactor volume was 4.8 L. The effects of parameters such as the amounts of photocatalyst, initial concentration, initial pH, air flow rate and anion additives (NO$_3$$\^$-/, SO$_4$$\^$2-/, Cl$\^$-/, CO$_3$$\^$2-/) competing for reaction. The results showed that the optimum dosage of the immobilized TiO$_2$ was 40.0 g/L. Initial removal rate of immobilized TiO$_2$ was expressed Langmuir - Hinshelwood equation.

Experimental Design of S box and G function strong with attacks in SEED-type cipher (SEED 형식 암호에서 공격에 강한 S 박스와 G 함수의 실험적 설계)

  • 박창수;송홍복;조경연
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.8 no.1
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    • pp.123-136
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    • 2004
  • In this paper, complexity and regularity of polynomial multiplication over $GF({2^n})$ are defined by using Hamming weight of rows and columns of the matrix ever GF(2) which represents polynomial multiplication. It is shown experimentally that in order to construct the block cipher robust against differential cryptanalysis, polynomial multiplication of substitution layer and the permutation layer should have high complexity and high regularity. With result of the experiment, a way of constituting S box and G function is suggested in the block cipher whose structure is similar to SEED, which is KOREA standard of 128-bit block cipher. S box can be formed with a nonlinear function and an affine transform. Nonlinear function must be strong with differential attack and linear attack, and it consists of an inverse number over $GF({2^8})$ which has neither a fixed pout, whose input and output are the same except 0 and 1, nor an opposite fixed number, whose output is one`s complement of the input. Affine transform can be constituted so that the input/output correlation can be the lowest and there can be no fixed point or opposite fixed point. G function undergoes linear transform with 4 S-box outputs using the matrix of 4${\times}$4 over $GF({2^8})$. The components in the matrix of linear transformation have high complexity and high regularity. Furthermore, G function can be constituted so that MDS(Maximum Distance Separable) code can be formed, SAC(Strict Avalanche Criterion) can be met, and there can be no weak input where a fixed point an opposite fixed point, and output can be two`s complement of input. The primitive polynomials of nonlinear function affine transform and linear transformation are different each other. The S box and G function suggested in this paper can be used as a constituent of the block cipher with high security, in that they are strong with differential attack and linear attack with no weak input and they are excellent at diffusion.

Number of Different Solutions to x5+bx3+b2mx2+1=0 over GF(2n) (GF(2n)위에서 x5+bx3+b2mx2+1=0의 서로 다른 해의 개수)

  • Choi, Un-Sook;Cho, Sung-Jin
    • The Journal of the Korea institute of electronic communication sciences
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    • v.8 no.11
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    • pp.1749-1754
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    • 2013
  • Binary sequences of period $2^n-1$ are widely used in many areas of engineering and sciences. Some well-known applications include coding theory, code-division multiple-access (CDMA) communications, and stream cipher systems. In this paper we analyze different solutions to $x^5+bx^3+b^{2^m}x^2+1=0$ over $GF(2^n)$. The number of different solutions determines frequencies of cross-correlations of nonlinear binary sequences generated by $d=3{\cdot}2^m-2$, n=2m, m=4k($k{\geq}2$). Also we give an algorithm for determination of number of different solutions to the equation.

The Algebraic Nomal form of Functions over finite Fields (유한체 위에 정의된 함수의 대표적 표준형식)

  • 이민섭;신현용;이준열
    • Review of KIISC
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    • v.2 no.4
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    • pp.104-109
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    • 1992
  • 스위치 이론이나 디지탈 공학$^{2)}$, 정보보호학$^{6.8)}$등의 분야에서 자주 사용되는 많은 함수들은 유한체 GF$(q)^n$에서 GF(q)의 값을 취하는 함수들이다. 특히 q=2인 경우에 함수 f는 쉽게 진리표에 의해 표현된다. 본 글에서는 유한체 위에서 성립하는 행렬 구조를 갖는 대수적 표준형식 변환에 대하여 알아보고, 변환의 계산을 점화적으로 이행해보며, 난수함수의 복잡도에 관한 확률분포를 살펴본다. 대수적 표준형식은 함수의 비선형 위수나 복잡도에 관한 판단에 유용하게 응용할 수 있다.

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Design and Analysis of a Digit-Serial $AB^{2}$ Systolic Arrays in $GF(2^{m})$ ($GF(2^{m})$ 상에서 새로운 디지트 시리얼 $AB^{2}$ 시스톨릭 어레이 설계 및 분석)

  • Kim Nam-Yeun;Yoo Kee-Young
    • Journal of KIISE:Computer Systems and Theory
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    • v.32 no.4
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    • pp.160-167
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    • 2005
  • Among finite filed arithmetic operations, division/inverse is known as a basic operation for public-key cryptosystems over $GF(2^{m})$ and it is computed by performing the repetitive $AB^{2}$ multiplication. This paper presents a digit-serial-in-serial-out systolic architecture for performing the $AB^2$ operation in GF$(2^{m})$. To obtain L×L digit-serial-in-serial-out architecture, new $AB^{2}$ algorithm is proposed and partitioning, index transformation and merging the cell of the architecture, which is derived from the algorithm, are proposed. Based on the area-time product, when the digit-size of digit-serial architecture, L, is selected to be less than about m, the proposed digit-serial architecture is efficient than bit-parallel architecture, and L is selected to be less than about $(1/5)log_{2}(m+1)$, the proposed is efficient than bit-serial. In addition, the area-time product complexity of pipelined digit-serial $AB^{2}$ systolic architecture is approximately $10.9\%$ lower than that of nonpipelined one, when it is assumed that m=160 and L=8. Additionally, since the proposed architecture can be utilized for the basic architecture of crypto-processor and it is well suited to VLSI implementation because of its simplicity, regularity and pipelinability.

Purification and Characterization of Cycloinulooligosaccharide Fructanotransferase from Bacillus macerans CFC1

  • Kim, Hwa-Young;Choi, Yong-Jin
    • Journal of Microbiology and Biotechnology
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    • v.8 no.3
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    • pp.251-257
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    • 1998
  • Cycloinulooligosaccharide fructanotransferase (CFTase) which produces cyclofructan from inulin was purified 332-fold from a culture broth of Bacillus macerans CFCl. The molecular mass of the CFTase was estimated to be 110 kDa by SDS-polyacrylamide gel electrophoresis and gel filtration, indicating that the enzyme has a monomer structure. The maximal level of enzyme activity was observed at pH 7.5 and $45^{\circ}C$. The enzyme was stable in the pH range 6.0 to 9.5, and at temperatures up to $45^{\circ}C$ for 1 h. The enzyme activity was completely inhibited in the presence of 0.5 mM $Ag^+\;or\;Cu^2+$ ion. None of sucrose (GF), l-kestose (GF2), or nystose (GF3) were found to be substrates for the CFTase, but inulooligosaccharides larger than nystose were attacked by the enzyme. The CFTase catalyzes not only the cyclization as the major reaction, but also disproportionation and coupling reactions involving intermolecular transfructosylation in the same manner as cyclodextrin glucanotransferase (CGTase) (EC 2.4.1.19).

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An Efficient Algorithm for Computing Multiplicative Inverses in GF($2^m$) Using Optimal Normal Bases (최적 정규기저를 이용한 효율적인 역수연산 알고리즘에 관한 연구)

  • 윤석웅;유형선
    • The Journal of Society for e-Business Studies
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    • v.8 no.1
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    • pp.113-119
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    • 2003
  • This paper proposes a new multiplicative inverse algorithm for the Galois field GF (2/sup m/) whose elements are represented by optimal normal basis type Ⅱ. One advantage of the normal basis is that the squaring of an element is computed by a cyclic shift of the binary representation. A normal basis element is always possible to rewrite canonical basis form. The proposed algorithm combines normal basis and canonical basis. The new algorithm is more suitable for implementation than conventional algorithm.

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