• 제목/요약/키워드: field extension

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Bailey-Paar 최적확장체 연산의 개선 (Improvement on Bailey-Paar's Optimal Extension Field Arithmetic)

  • 이문규
    • 한국정보과학회논문지:시스템및이론
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    • 제35권7호
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    • pp.327-331
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    • 2008
  • 최적확장체(Optimal Extension Field: OEF)는 유한체의 일종으로서, 타원곡선 암호시스템의 소프트웨어 구현에 있어 매우 유용하다. Bailey 및 Paar는 $P^i$ 거듭제곱 연산을 비롯하여 다수의 효율적인 OEF 연산 알고리즘을 제안하였으며, 또한 암호 응용에 적합한 OEF를 생성하기 위한 효과적인 알고리즘을 제안하였다. 본 논문에서는 Bailey-Paar의 $P^i$ 거듭제곱 알고리즘이 적용되지 않는 반례를 제시하며, 또한 그들의 OEF 생성 알고리즘은 실제로 OEF가 아닌 유한체를 OEF로 출력하는 오류가 있음을 보인다. 본 논문에서는 이러한 문제들을 해결한 개선된 알고리즘들을 제시하고, OEF의 개수에 관한 수정된 통계치를 제시한다.

일관장 개념의 평면변형률 요소에의 확장 (Extension of Field-Consistency to Plane Strain Elements)

  • 김용우
    • 대한기계학회논문집
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    • 제19권8호
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    • pp.1799-1809
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    • 1995
  • The applicability of the field-consistency paradigm, which was originally employed for analysis of locking due to constrained energy having the second power of a strain, is extended to the constrained energy having a quadratic form of strain. For the extension, nearly-incompressible plane strain problem is considered by introducing the concept of reduced minimization. The field-consistent analysis of the plane strain problem leads to a clear and systematic understanding on the relation amongst constraints imposed on element, spurious constraint -free optimal points, and integration order used.

THAINE'S THEOREM IN FUNCTION FIELD

  • Jung, Hwanyup
    • 충청수학회지
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    • 제22권1호
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    • pp.17-23
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    • 2009
  • Let F be a finite real abelian extension of a global function field k with G = Gal(F/k). Assume that F is an extension field of the Hilbert class field $K_e$ of k and is contained in a cyclotomic function field $K_n$. Let $\ell$ be any prime number not dividing $ph_k{\mid}G{\mid}$. In this paper, we show that if $\theta{\in}\mathbb{Z}[G]$ annihilates the Sylow $\ell$-subgroup of ${\mathcal{O}}^{\times}_F/{\mathcal{C}}_F$, then (q-1)$\theta$ annihilates the Sylow $\ell$-subgroup of ${\mathcal{Cl}}_F$.

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전기장 인가에 따른 프로판 예혼합 화염의 희박연소 특성 (Lean Burn Combustion Characteristics of Propane Premixed Flame in Electric Field)

  • 김민석;최준영;김태훈;김혜민
    • 한국분무공학회지
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    • 제28권1호
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    • pp.24-31
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    • 2023
  • In this study, characteristics of a propane-air premixed flame sin DC electric field was investigated. The stainless steel Bunsen burner and the stainless steel ring were used as electrode, and the high voltage supply was used for applying electric field. Flammability range increased significantly when the positive voltage was applied because of extension of LBO limit, while it shrank when the negative voltage was applied. The reason for this was not much related to the burning velocity, but the induced flow around the burner by electric field. withNOx production slightly increased after positive voltage was applied in identical equivalence ratio. Nevertheless, it was advantageous to apply the positive electric field to reduce the NOx since the extension of LBO limit makes the burner possible to operate in very low equivalence ratio.

SCALAR EXTENSION OF SCHUR ALGEBRAS

  • Choi, Eun-Mi
    • 대한수학회보
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    • 제42권3호
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    • pp.453-467
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    • 2005
  • Let K be an algebraic number field. If k is the maximal cyclotomic subextension in K then the Schur K-group S(K) is obtained from the Schur k-group S(k) by scalar extension. In the paper we study projective Schur group PS(K) which is a generalization of Schur group, and prove that a projective Schur K-algebra is obtained by scalar extension of a projective Schur k-algebra where k is the maximal radical extension in K with mild condition.

한국십진분류법 농학류의 분류기호 수정전개에 관한 연구 (A Study on the Revision and Extension for Agricultural Field of the KDC)

  • 김정현;문지현
    • 한국도서관정보학회지
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    • 제32권1호
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    • pp.223-248
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    • 2001
  • The purpose of this study is to analyze the problems of classified items by directly applying the domestic literary publications of agriculture field one by one and to present revision scheme having KDC as the subject of the study. In order to do this, I directly applied and analyzed KDC's 4th edition to the 5,400 literatures of agricultural field from the collection list database at the National Library of Korea. Revision scheme of KDC's agricultural field that's been made based on the above revision scheme tried to follow the basic classified systems and items of KDC's 4th edition, if possible, and in terns of necessary items, it includes only addition of cycles and the minimum subdivided extension.

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