• Title/Summary/Keyword: property ($D_2$)

Search Result 1,344, Processing Time 0.024 seconds

A Comparative Study of Twist Property in KSS Curves of Embedding Degree 16 and 18 from the Implementation Perspective

  • Khandaker, Md. Al-Amin;Park, Taehwan;Nogami, Yasuyuki;Kim, Howon
    • Journal of information and communication convergence engineering
    • /
    • v.15 no.2
    • /
    • pp.97-103
    • /
    • 2017
  • Implementation of faster pairing calculation is the basis of efficient pairing-based cryptographic protocol implementation. Generally, pairing is a costly operation carried out over the extension field of degree $k{\geq}12$. But the twist property of the pairing friendly curve allows us to calculate pairing over the sub-field twisted curve, where the extension degree becomes k/d and twist degree d = 2, 3, 4, 6. The calculation cost is reduced substantially by twisting but it makes the discrete logarithm problem easier if the curve parameters are not carefully chosen. Therefore, this paper considers the most recent parameters setting presented by Barbulescu and Duquesne [1] for pairing-based cryptography; that are secure enough for 128-bit security level; to explicitly show the quartic twist (d = 4) and sextic twist (d = 6) mapping between the isomorphic rational point groups for KSS (Kachisa-Schaefer-Scott) curve of embedding degree k = 16 and k = 18, receptively. This paper also evaluates the performance enhancement of the obtained twisted mapping by comparing the elliptic curve scalar multiplications.

Periodic Properties of a Lyapunov Functional of State Delay Systems

  • Young Soo Suh
    • KIEE International Transaction on Systems and Control
    • /
    • v.2D no.2
    • /
    • pp.92-96
    • /
    • 2002
  • This paper is concerned with properties of a Lyapunov functional of state delay systems. It is shown that if a state delay system has a pure imaginary pole for some state delay, then no Lyapunov functional satisfying a Lyapunov condition exists periodically with respect to change of the state delay. This periodic property is unique in state delay systems and has been well known in the frequency domain stability conditions. However, in the time domain stability conditions using a Lyapunov functional, the periodic property is not known explicitly.

  • PDF

Study on the optical properties of ZnS and its natural oxide by spectroscopic ellipsometry

  • Kim, T. J.;Kim, Y. D.;Park, Y. D.
    • Journal of Korean Vacuum Science & Technology
    • /
    • v.5 no.2
    • /
    • pp.52-55
    • /
    • 2001
  • We report best dielectric function of ZnS by spectroscopic ellipsometry in the 3.7 - 6.0 eV photon energy range at room temperature. Using proper wet chemical etching procedure, natural overlayer was removed to obtain the pure dielectric function of ZnS, which had a higher <$\xi$$_2$> value at the El band gap peak than that previously reported. We also determined the dielectric property of the natural overlayer on ZnS by following the evolution of <$\xi$$_2$> with chemical etching. We found that the optical property of the overlayer was well described by amorphous semiconductor model.

  • PDF

SINTERED $Al_{2}O_{3}$-TiC SUBSTRATE FOR THIN FILM MAGNETIC HEAD

  • Nakano, Osamu;Hirayama, Takasi
    • Proceedings of the Korean Powder Metallurgy Institute Conference
    • /
    • 1998.04b
    • /
    • pp.6-6
    • /
    • 1998
  • In 1957, the first magnetic disk drive compatible with a movable head was introduced as an external file memory device for computer system. Since then, magnetic disks have been improved by increasing the recording density, which has brought about the development of a high performance thin film magnetic head. The thin film magnetic head has a magnetic circuit on a ceramic substrate using IC technology. The physical property of the substrate material is very important because it influences the tribology of head/disk interface and also manufacturing process of the head. $Al_{2}O_{3}$-TiC ceramics, so called ALTIC, is known to be one of the best substrate materials which satisfies this property requirement. Even though the head is not in direct contact with the disk, frequent instantaneous contacts are unavoidable due to its high rotating speed and the close gap between them. This may cause damage in the magnetic recording media and, thus, it is very important that the magnetic head has a good wear resistance. $Al_{2}O_{3}$-TiC ceramics has an excellent tribological property in head/disk interface. Manufacturing process of thin film head is similar to that of IC, which requires extremely smooth and flat surface of the substrate. The substrate must be readily sliced into the heads without chipping. $Al_{2}O_{3}$-TiC ceramics has excellent machineability and mechanical properties. $Al_{2}O_{3}$-TiC ceramics was first developed at Nippon Tungsten Co. as cutting tool materials in 1968, which was further developed to be used as the substrate materials for thin film head in collaboration with Sumitomo Special Metals Co., Ltd. in 1981. Today, we supply more than 60% of the substrates for thin film head market in the world. In this paper, we would like to present the sintering process of $Al_{2}O_{3}$-TiC ceramics and its property in detail.

  • PDF

A Study on Required Competency for Each Field of Intellectual Property in the 4th Industrial Revolution Era (4차 산업혁명 시대의 지식재산 분야별 필요 역량 분석)

  • Park, Ki-Moon;Lee, Kyu-Nyo;Lee, Byung-Wook
    • 대한공업교육학회지
    • /
    • v.45 no.2
    • /
    • pp.108-130
    • /
    • 2020
  • In order to cope with the rapid changes in science and technology and various societies and complex economies with the advent of the 4th Industrial Revolution, intellectual property education is essential above all. In this study, therefore, intellectual property and the required competences were derived and verified for each field. As for the research method, Delphi technique was used twice for literature review and experts, and the conclusions of the research are as follows. First, the field of intellectual property required in the era of the 4th Industrial Revolution was classified, through literature review and Delphi technique, in eleven sections such as IP-R & D consulting, IP information search analysis, IP entitlement, IP strategic planning, IP transaction, IP finance, IP value evaluation, IP management, global IP management, IP commercialization, and IP disputes, of which validity was verified. Second, It was analyzed that the validity of required competencies derived from each field of intellectual property was reliable. Third, it is generally appropriate to nurture manpower in each field of intellectual property in universities or graduate schools. In addition, it is judged that regular job training of industries such as enterprises and public institutions is necessary regardless of the field.

A Trend Study on 2D to 3D Video Conversion Technology using Analysis of Patent Data (특허 분석을 통한 2D to 3D 영상 데이터 변환 기술 동향 연구)

  • Kang, Michael M.;Lee, Wookey;Lee, Rich. C.
    • Journal of Information Technology and Architecture
    • /
    • v.11 no.4
    • /
    • pp.495-504
    • /
    • 2014
  • This paper present a strategy of intellectual property acquisition and core technology development direction using analysis of 2D to 3D video conversion technology patent data. As a result of analysis of trends in patent 2D to 3D technology, it is very promising technology field. Using a strategic patent map using research of patent trend, you will keep ahead of the competition in 2D3D image data conversion market.

ON A PROPERTY OF CONVOLUTION OPERATORS IN THE SPACES $D'_{L^{P'}} p{\geq}1 AND \delta'$

  • Park, D.H.
    • Bulletin of the Korean Mathematical Society
    • /
    • v.21 no.2
    • /
    • pp.91-95
    • /
    • 1984
  • Let D$^{p}$ be the space of distributions of $L^{p}$-growth and S the space of tempered destributions in $R^{n}$: D$^{p}$, 1.leq.P.leq..inf., is the dual of the space $D^{p}$ which we discribe later. We denote by O$_{c}$(S:S') the space of convolution operators in S. In [8] S. Sznajder and Z. Zielezny proved the following necessary conditions for convolution operators in O$_{c}$(S:S) to be solvable in S.

  • PDF

THE CONSTRUCTION OF SOME LEVEL ARTINIAN O-SEQUENCES

  • Shin, Yong-Su
    • Journal of applied mathematics & informatics
    • /
    • v.20 no.1_2
    • /
    • pp.541-548
    • /
    • 2006
  • We find a graded Artinian level O-sequence of the form $H\;:\;h_0\;h_1\;\cdots\;h_{d-1}\;h_d\cdots$ $^{(d+1-1_)-st}h_d$ < $h_{d+s}$ not having the Weak-Lefschetz property. We also introduce several algorithms for construction of some examples of non-unimodal level O-sequences using a computer program called CoCoA.

GOLDIE EXTENDING PROPERTY ON THE CLASS OF z-CLOSED SUBMODULES

  • Tercan, Adnan;Yasar, Ramazan;Yucel, Canan Celep
    • Bulletin of the Korean Mathematical Society
    • /
    • v.59 no.2
    • /
    • pp.453-468
    • /
    • 2022
  • In this article, we define a module M to be Gz-extending if and only if for each z-closed submodule X of M there exists a direct summand D of M such that X ∩ D is essential in both X and D. We investigate structural properties of Gz-extending modules and locate the implications between the other extending properties. We deal with decomposition theory as well as ring and module extensions for Gz-extending modules. We obtain that if a ring is right Gz-extending, then so is its essential overring. Also it is shown that the Gz-extending property is inherited by its rational hull. Furthermore it is provided some applications including matrix rings over a right Gz-extending ring.

Fate of Genetically Engineered 2,4-D-Degrading Microorganisms in Natural Soils and Waters

  • Hong, Seok-Myeong;Lee, Yin-Won;Kim, Chi-Kyung;Ka, Jong-Ok
    • Journal of Microbiology
    • /
    • v.34 no.4
    • /
    • pp.320-326
    • /
    • 1996
  • To analyze the effects of host versus plasmid on survival of 2, 4-degrading bacteria in environmental samples, strains Pseudomonas cepacia/pJP4, Alcaligenes JMP228/pJP4, P. cepacia/p712, and Alcaligenes JMP228/p712 were separately inoculated into samples of field soil, paddy soil, lake water, and river water, and then the changes of their populations were measured. The strains used contained a 2, 4-D degradative plasmid, either pJP4 conferring fast-growing property to the host or p712 conferring slow-growing property, and were resistant to antibiotics such that the inoculated strains could be enumerated against the indigenous microbial populations. In sterile environmental samples, these strains were stably maintained at the levels used for inoculation, except in sterile paddy soil where Alcaligenes JMP228 strains died drapidly. In natural soil samples for four strains declined steadily with time, but in naturla water samples their polulations fell rapidly at the early phase and then remained almost constant. When the environmentla samples were treated with 2, 4-D, P. cepacia/pJP4 and P. cepacia/p712 maintained significant numbers, while Alcaligenes JMP228/pJP4 and Alcaligenes JMP228/p712 declined significantly in most of the samples. The results indicated that the survivability of genetically modified microorganisms could vary depending on the environments and that their abundance in the environments under s2, 4-D selection was markedly influenced by the nature of the 2, 4-D degradative plasmid as well as type of the host strain.

  • PDF