• Title/Summary/Keyword: GF-3

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Efficiently Hybrid $MSK_k$ Method for Multiplication in $GF(2^n)$ ($GF(2^n)$ 곱셈을 위한 효율적인 $MSK_k$ 혼합 방법)

  • Ji, Sung-Yeon;Chang, Nam-Su;Kim, Chang-Han;Lim, Jong-In
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.44 no.9
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    • pp.1-9
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    • 2007
  • For an efficient implementation of cryptosystems based on arithmetic in a finite field $GF(2^n)$, their hardware implementation is an important research topic. To construct a multiplier with low area complexity, the divide-and-conquer technique such as the original Karatsuba-Ofman method and multi-segment Karatsuba methods is a useful method. Leone proposed an efficient parallel multiplier with low area complexity, and Ernst at al. proposed a multiplier of a multi-segment Karatsuba method. In [1], the authors proposed new $MSK_5$ and $MSK_7$ methods with low area complexity to improve Ernst's method. In [3], the authors proposed a method which combines $MSK_2$ and $MSK_3$. In this paper we propose an efficient multiplication method by combining $MSK_2,\;MSK_3\;and\;MSK_5$ together. The proposed method reduces $116{\cdot}3^l$ gates and $2T_X$ time delay compared with Gather's method at the degree $25{\cdot}2^l-2^l with l>0.

Reed Solomon CODEC Design For Digital Audio/Video, Communication Electronic Devices (디지털 오디오/비디오, 통신용 전자기기를 위한 Reed Solomon 복부호기 설계에 대해)

  • An Hyeong-Keon
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.42 no.11
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    • pp.13-20
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    • 2005
  • For Modern Consumer and Communication Elecronic Devices, Always Error Protecting HW and SW is used. The Core is RS(Reed Solomon) Codec in Galois Field GF($2^8$). Here New 2 to 3 Symbol RS Decoder Design and Encoder design Method using Normalized error position Value is described. Examples are given to show the methods are working well.

Anti-inflammatory Effect of Methanol Extract from Safflower Seeds

  • Kim, Hyun-Jin
    • International Journal of Oral Biology
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    • v.41 no.2
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    • pp.83-88
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    • 2016
  • Periodontitis is an inflammatory disease, which destroys the connective tissue and the alveolar bone. Recently, it has been suggested that the effect of natural substances could be induced into an anti-inflammatory environment. However, the effect of Safflower seed extract (SAF-M) associated with periodontitis has not been investigated yet. Therefore, the purpose of this study was to assess the anti-inflammatory effects of SAF-M. Cytotoxicity was assessed through MTS analysis using hGF and hPDL cells. Periodontitis was induced by injecting LPS into gingival tissue on the maxillary molars of rats ($45{\mu}g$ LPS/one time, 3 times a week for 3 weeks). SAF-M was administered daily at 30 mg/kg and 100 mg/kg. Alveolar bone resorption was evaluated through the micro-CT. hGF and hPDL cells showed differential cytotoxicity in response to SAF-M at 5 mg/ml and 1 mg/ml concentrations. Micro-CT showed reduction of the alveolar bone resorption in the SAF-M treatment group. These results suggested that SAF-M is a potential therapeutic agent for periodontitis.

Efficient Modular Reduction for NIST Prime P-256 (NIST 소수 P-256에서 효율적인 모듈러 감산 방법)

  • Chang, Nam Su
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.29 no.3
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    • pp.511-514
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    • 2019
  • Elliptic Curves Cryptosystem(ECC) provides the same level of security with relatively small key sizes, as compared to the traditional cryptosystems. The performance of ECC over GF(2m) and GF(p) depends on the efficiency of finite field arithmetic, especially the modular multiplication which is based on the reduction algorithm. In this paper, we propose a new modular reduction algorithm which provides high-speed ECC over NIST prime P-256. Detailed experimental results show that the proposed algorithm is about 25% faster than the previous methods.

A Study on the Fracture Characteristics of Pre-Cracked Fiber Reinforced Concrete (초기균열이 있는 강섬유보강 콘트리트의 파괴특성)

  • 곽기주
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.34 no.3
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    • pp.53-63
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    • 1992
  • To investgate the fracture behavior of the steel fiber reinforced concreate, the specimens with different steel fiber contents of 0.0%, 0.5%, 1.0%, 1.5%, were made and notched with differents notch depth ratios of 0.0,0.2, 0.4, 0.6, and the three point bend tests were followed. Test results of 16 different types of above combined specimens were summarized as follows. 1.The load line deflection contents were found to increase 5%, 16%, 19%, respectively, compared to the unnotched specimen with the increased of initial notch depth ratio to 0.2,0.4, 0.6, respectively. 2.The frexural strength were found to decrease 14%, 16%, 21 %, respectively, compared to the unnotched specimen with the increase of initial notch depth ratio to 0.2, 0.4, 0.6,respectively. 3.The stress intensity factors of the steel fiber reinforced concrete were found to increase 1.1 1.5 1.9 times, respectively, compared to the concrete with no steel fiber content with the increase of fiber content to 0.5%, 1.0%, 1.5%, respectively. 4.The influence of the mass of the steel fiber reinforced concrete to the whole fracture energy was found to be minor with 6~8 % contribution. 5.The fracture energy of the steel fiber reinforced concrete, considering the load-deflection curve and concrete mass was found to be approximately 350-380kg m/m$^2$. 6.The regression analysis through the relationship between the compressive(Oc)/tensile (OT) strength and fracture energy(Gf) showed that the fracture energy of the steel fiber reinforced concrete could be predicted as follows. Gf= 19.2662 Oc - 3940.4 Gf= 246.876 OT- 6008.8

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3X Serial GF(2m) Multiplier on Polynomial Basis Finite Field (Polynomial basis 방식의 3배속 직렬 유한체 곱셈기)

  • 문상국
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2004.05b
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    • pp.255-258
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    • 2004
  • Efficient finite field operation in the elliptic curve (EC) public key cryptography algorithm, which attracts much of latest issues in the applications in information security, is very important. Traditional serial finite multipliers root from Mastrovito's serial multiplication architecture. In this paper, we adopt the polynomial basis and propose a new finite field multiplier, inducing numerical expressions which can be applied to exhibit 3 times as much performance as the Mastrovito's. We described the proposed multiplier with HDL to verify and evaluate as a proper hardware IP. HDL-implemented serial GF (Galois field) multiplier showed 3 times as fast speed as the traditional serial multiplier's adding only Partial-sum block in the hardware.

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Synthesis of Pressure-sensitive Acrylic Adhesives with Photoreactive Groups and Their Application to Semiconductor Dicing Tapes (광 반응성기를 갖는 아크릴 점착제의 합성과 반도체 다이싱 테이프로의 적용 연구)

  • Hee-Woong Park;Nam-Gyu Jang;Kiok Kwon;Seunghan Shin
    • Applied Chemistry for Engineering
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    • v.34 no.5
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    • pp.522-528
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    • 2023
  • In this work, adhesive tapes were prepared for the dicing process in semiconductor manufacturing. Compounds with different numbers of photoreactive groups (f = 1 to 3) were synthesized and incorporated into acrylic copolymers to formulate UV-curable acrylic adhesives. Structural confirmation of the synthesized photoreactive compounds (f = 2 or 3) was performed using nuclear magnetic resonance (NMR) spectroscopy. The introduction of the photoreactive compounds into the acrylic adhesive was accomplished by urethane reactions, and the successful synthesis of the UV-curable acrylic adhesive was verified by Fourier transform infrared (FT-IR) measurements. To evaluate the performance of the adhesive, the peel strength was evaluated before and after UV irradiation using a silicon wafer as a substrate. The adhesive exhibited high peel strength (~2000 gf/25 mm) before UV exposure, which was significantly reduced (~5 gf/25 mm) after UV exposure. Interestingly, the adhesive containing multifunctional photoreactive compounds showed the most significant reduction in peel strength. In addition, surface residue measurements by field emission scanning electron microscopy (FE-SEM) showed minimal surface residue (~0.2%) after UV exposure. Overall, these results contribute to the understanding of the behavior of UV-curable acrylic adhesives and pave the way for potential applications in semiconductor manufacturing processes.

Suppressing Effect of Hydrogen Evolution by Oxygen Functional Groups on CNT/ Graphite Felt Electrode for Vanadium Redox Flow Battery (탄소나노튜브/흑연펠트 전극의 산소작용기를 활용한 바나듐 레독스 흐름 전지의 수소발생 억제 효과)

  • Kim, Minseong;Ko, Minseong
    • Journal of the Korean institute of surface engineering
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    • v.54 no.4
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    • pp.164-170
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    • 2021
  • Vanadium redox flow batteries (VRFB) have emerged as large-scale energy storage systems (ESS) due to their advantages such as low cross-contamination, long life, and flexible design. However, Hydrogen evolution reaction (HER) in the negative half-cell causes a harmful influence on the performance of the VRFB by consuming current. Moreover, HER hinders V2+/V3+ redox reaction between electrode and electrolyte by forming a bubble. To address the HER problem, carbon nanotube/graphite felt electrode (CNT/GF) with oxygen functional groups was synthesized through the hydrothermal method in the H2SO4 + HNO3 (3:1) mixed acid solution. These oxygen functional groups on the CNT/GF succeed in suppressing the HER and improving charge transfer for V2+/V3+ redox reaction. As a result, the oxygen functional group applied electrode exhibited a low overpotential of 0.395 V for V2+/V3+ redox reaction. Hence, this work could offer a new strategy to design and synthesize effective electrodes for HER suppression and improving the energy density of VRFB.

Subquadratic Space Complexity Multiplier for GF($2^n$) Using Type 4 Gaussian Normal Bases

  • Park, Sun-Mi;Hong, Dowon;Seo, Changho
    • ETRI Journal
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    • v.35 no.3
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    • pp.523-529
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    • 2013
  • Subquadratic space complexity multipliers for optimal normal bases (ONBs) have been proposed for practical applications. However, for the Gaussian normal basis (GNB) of type t > 2 as well as the normal basis (NB), there is no known subquadratic space complexity multiplier. In this paper, we propose the first subquadratic space complexity multipliers for the type 4 GNB. The idea is based on the fact that the finite field GF($2^n$) with the type 4 GNB can be embedded into fields with an ONB.

A Study on the Design of Tensile Property Conditions for Women's Knitwear Pattern (니트 패턴의 기준 신장률 설계에 관한 연구)

  • Heo Eun-young
    • Journal of the Korean Home Economics Association
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    • v.42 no.10 s.200
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    • pp.153-171
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    • 2004
  • The purpose of this study was to develop a system by which the tensile properties of knitted fabrics can be applied. In this study, 3 different conditions of tensile property were tested on 8 sample fabrics with various stitches and stretch ranges. The subjects were five women of age from 18 to 24 years showing average body figures. The major findings derived from this investigation were as follows: The tensile properly of 12gf/cm was considered as appropriate for applying into the pattern alteration in the case of moderate stretch(course, $25\~35\%$) or over samples. However, for the stable stretch(course, under $20\%$) fabrics, such as Milano rib stitch, a tensile properly of 20gf/cm was regarded as more valid.