• Title/Summary/Keyword: 유한 체

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A New Multiplication Algorithm and VLSI Architecture Over $GF(2^m)$ Using Gaussian Normal Basis (가우시안 정규기저를 이용한 $GF(2^m)$상의 새로운 곱셈 알고리즘 및 VLSI 구조)

  • Kwon, Soon-Hak;Kim, Hie-Cheol;Hong, Chun-Pyo;Kim, Chang-Hoon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.31 no.12C
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    • pp.1297-1308
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    • 2006
  • Multiplications in finite fields are one of the most important arithmetic operations for implementations of elliptic curve cryptographic systems. In this paper, we propose a new multiplication algorithm and VLSI architecture over $GF(2^m)$ using Gaussian normal basis. The proposed algorithm is designed by using a symmetric property of normal elements multiplication and transforming coefficients of normal elements. The proposed multiplication algorithm is applicable to all the five recommended fields $GF(2^m)$ for elliptic curve cryptosystems by NIST and IEEE 1363, where $m\in${163, 233, 283, 409, 571}. A new VLSI architecture based on the proposed multiplication algorithm is faster or requires less hardware resources compared with previously proposed normal basis multipliers over $GF(2^m)$. In addition, we gives an easy method finding a basic multiplication matrix of normal elements.

Design and Evaluation of Osseointegration Analysis System for Dental Implant (치과 임플란트용 골융합 측정기의 설계 및 평가)

  • Lee, Joo-Hee;Kim, Chang-Il;Kim, Chul-Min;Paik, Jong-Hoo;Cho, Jeong-Ho;Chun, Myoung-Pyo;Jeong, Young-Hun;Lee, Jeong-Bae;Lee, Seung-Dae;Lee, Young-Jin
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2010.06a
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    • pp.295-295
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    • 2010
  • 생체 식립형 임플란트의 경우 성공도는 매식체의 골유착 정도에 크게 영향을 받는다. 골유착 시 임플란트의 표면 형상과 하중, 골질의 양 등 많은 요인에 영향을 받게 되므로, 임플란트의 안정성을 주기적으로 점검해야할 필요가 있다. 따라서 임플란트 안정성을 공진 주파수 분석법을 이용하여 측정하기 위해 압전소자 제작과 트랜스듀서의 구조를 설계하였다. 유한요소 해석을 통하여 압전소자와 트랜스듀서의 두께와 크기 변화를 통해 측정 주파수 범위를 10kHz대역으로 맞추었으며, 해석 결과를 토대로 샘플제작과 평가를 실시하였다. 평가 결과 시뮬레이션 해석결과와 유사한 10kHz의 주파수 대역을 가지는 것을 볼 수 있었고, 식립된 나사의 고정도가 증가할수록 주파수가 점차 증가하는 결과를 얻을 수 있었다.

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An Efficient Hardware Implementation of Square Root Computation over GF(p) (GF(p) 상의 제곱근 연산의 효율적인 하드웨어 구현)

  • Choe, Jun-Yeong;Shin, Kyung-Wook
    • Journal of IKEEE
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    • v.23 no.4
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    • pp.1321-1327
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    • 2019
  • This paper describes an efficient hardware implementation of modular square root (MSQR) computation over GF(p), which is the operation needed to map plaintext messages to points on elliptic curves for elliptic curve (EC)-ElGamal public-key encryption. Our method supports five sizes of elliptic curves over GF(p) defined by the National Institute of Standards and Technology (NIST) standard. For the Koblitz curves and the pseudorandom curves with 192-bit, 256-bit, 384-bit and 521-bit, the Euler's Criterion based on the characteristic of the modulo values was applied. For the elliptic curves with 224-bit, the Tonelli-Shanks algorithm was simplified and applied to compute MSQR. The proposed method was implemented using the finite field arithmetic circuit with 32-bit datapath and memory block of elliptic curve cryptography (ECC) processor, and its hardware operation was verified by implementing it on the Virtex-5 field programmable gate array (FPGA) device. When the implemented circuit operates with a 50 MHz clock, the computation of MSQR takes about 18 ms for 224-bit pseudorandom curves and about 4 ms for 256-bit Koblitz curves.

Properties of LiNiO2 Powders Prepared by Spray Pyrolysis Process (분무열분해 공정에 의해 합성된 LiNiO2 분말의 특성)

  • Ju, Seo-Hee;Kang, Yun-Chan
    • Journal of the Korean Electrochemical Society
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    • v.11 no.4
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    • pp.297-303
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    • 2008
  • $LiNiO_2$ cathode powders with fine size have been synthesized by spray pyrolysis from the spray solution with citric acid and ethylene glycol. The as-prepared powders with spherical shape, porous structure and micron size turned into $LiNiO_2$ powders with micron size and regular morphology after post-treatment at $800^{\circ}C$. The initial discharge capacities of the $LiNiO_2$ powders changed from 199 to 171mAh/g when the concentrations of the citric acid and ethylene glycol added to the spray solutions were changed from 0 to 1 M. The maximum initial discharge capacity of the $LiNiO_2$ powders obtained from the spray solution with citric acid and ethylene glycol was 198 mAh/g when the lithium component added to the spray solution was 6 mol% excess of the stoichiometric amount. The discharge capacities of the fine-sized $LiNiO_2$ powders dropped from 198 to 163 mAh/g by the 30 th cycle at a current density of 0.1 C.

A study on the optimization of three-dimensional auxetic pyramid structure by using EDISON program (EDISON 프로그램을 사용한 3차원 팽창 피라미드 구조의 최적화 연구)

  • Kim, Gyu-Young;Kim, Soo-ho;Yun, Gi-Won;Kim, Hyun-Gyu
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.45 no.9
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    • pp.807-815
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    • 2017
  • Auxetic structures with negative Poisson's ratio can be used to achieve high mechanical properties in energy absorption and destruction toughness. In this paper, we aim to design an auxetic structure which has a high negative Poisson's ratio and a stiffness over 50N/mm by using an optimization method. Length(L), thickness(t) and angle(${\theta}_1$, ${\theta}_2$) of an auxetic pyramid are the design parameters, and also stress, Poisson's ratio and stiffness are thr reaction factors. We used Box-Behnken method and conducted 4 factors - 3 levels experiment design. Finite element models are analyzed by using Edison program CSD_EPLAST.

Dynamic Characteristic Analysis of Active Gurney Flap Considering Rotational Effect (회전 효과를 고려한 Active Gurney Flap 의 동특성 해석)

  • Kee, YoungJung;Kim, TaeJoo;Kim, DeogKwan
    • Transactions of the KSME C: Technology and Education
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    • v.3 no.3
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    • pp.183-191
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    • 2015
  • In this study, the finite element analysis was carried out to investigate dynamic characteristics of the AGF(Active Gurney Flap) which is under development for reducing vibration and noise of the helicopter rotor system. The Gurney flap is a kind of small flat plate, mounted normal to the lower surface of the airfoil near to the trailing edge. An electric motor, L-shaped linkages and flap parts were integrated into a rotor bade, and 3~5/rev control was given to the AGF to reduce the vibration in the fixed frame. Thus, an explicit time integration method was adopted to investigate the dynamic response of the AGF with considering both centrifugal force due to the rotor rotation and active control input, and it can be seen that the vertical displacement of the AGF was satisfied to meet the design requirement.

The Design of Compact and wideband antenna for wireless LAN at 5GHz band (5GHz대역 무선랜용 소형 광대역 안테나 설계)

  • Park Kyoung-Su;Choi Sung-Youl;Shin Phil-Soo;Ko Young-Ho
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.41 no.6 s.324
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    • pp.93-99
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    • 2004
  • According to rapid increment of demand for wireless Local Area Network (LAN), the HyperLAN of 5.1-533GHz and 5.725-5.825GHz is newly allocated for wireless LAM in many regions over the world. Also, because most of mobile communication equipments are small, the size of antenna is important factor of effective design. In this paper, the compacted and wide bandwidth antenna is designed for wireless LAN at 5GHz band. Although the structure of U-shaped slot antenna is simple, It has large bandwidth of $10-40\%$. Also, the U-slot antenna has good radiation pattern. However, in general, the size of U-slot antenna is large. Therefore, it is difficult to apply to wireless equipment such as PDA and Notebook. This proposed antenna has a wide bandwidth by U-shaped slot in rectangular patch and is compacted by using two layered dielectric substrates and foam. For the design of U-slot antenna, the Finite Difference Time Domain method is applied. Also, the method of MPI parallel program is used for the enhancement of the analyzing speed of the FDTD method.

Fully-Parallel Architecture for 1.4 Gbps Non-Binary LDPC Codes Decoder (1.4 Gbps 비이진 LDPC 코드 복호기를 위한 Fully-Parallel 아키텍처)

  • Choi, Injun;Kim, Ji-Hoon
    • Journal of the Institute of Electronics and Information Engineers
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    • v.53 no.4
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    • pp.48-58
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    • 2016
  • This paper presents the high-throughput fully-parallel architecture for GF(64) (160,80) regular (2,4) non-binary LDPC (NB-LDPC) codes decoder based on the extended min sum algorithm. We exploit the NB-LDPC code that features a very low check node and variable node degree to reduce the complexity of decoder. This paper designs the fully-parallel architecture and allows the interleaving check node and variable node to increase the throughput of the decoder. We further improve the throughput by the proposed early sorting to reduce the latency of the check node operation. The proposed decoder has the latency of 37 cycles in the one decoding iteration and achieves a high throughput of 1402Mbps at 625MHz.

Improvement of Attenuation Characteristics for Multiple Coupled Line Structure on the Specific Lossy Media (특정 손실 매질위의 다중 결합선로에 대한 손실특성 개선)

  • Kim, Yoon-Suk;Kim, Min-Su
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.48 no.12
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    • pp.35-41
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    • 2011
  • In this paper, an analysis for a new substrate shielding symmetric coupled MIS structure consisting of grounded crossbar at the interface between Si and SiO2 layer using the Finite-Difference Time-Domain(FDTD) method is presented. In order to reduce the substrate effects on the transmission line characteristics, a shielding structure consisting of grounded crossbar lines over time-domain signal has been examined. Parameters of symmetric coupled MIS transmission line with various gaps between crossbars for even- and odd-mode are investigated as the functions of frequency, and the extracted distributed frequency-dependent transmission line parameters and corresponding equivalent circuit parameters as well as quality factor for the new MIS crossbar embedded structure are also presented. It is shown that the quality factor of the symmetric coupled transmission line can be improved without significant change in the characteristic impedance and effective dielectric constant.

Allowable Axial Stress Estimation of Corrosion Resistance Steel Tubes for Port and Offshore Structures (항만 및 해양구조용 고강도 내식성 원형강관의 축방향 허용압축응력 산정)

  • Oh, Chang Kook;Park, Jang Ho;Bae, Doobyong
    • Journal of Korean Society of Steel Construction
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    • v.28 no.4
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    • pp.263-270
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    • 2016
  • Corrosion resistance steel has been widely used for port and offshore structures exposed to harsh coastal and oceanic environments, due to lower corrosion rate. New higher strength corrosion resistance steel tubes named STKM500 in KS D 3300 were recently developed by domestic technology and expected to replace foreign ASTM A690 steel. In this study, tensile test results are included to show higher yield and tensile strength of STKM500. Then, buckling test results obtained from 2m, 6m, and 12m steel tubes are demonstrated, based on which an allowable axial compressive stress curve for STKM500 steel tubes is suggested.