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IDEALS OF Zpn[X]/(Xl-1)

  • Woo, Sung-Sik
    • 대한수학회논문집
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    • 제26권3호
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    • pp.427-443
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    • 2011
  • In [6, 8], we showed that any ideal of $\mathbb{Z}_4[X]/(X^l\;-\;1)$ is generated by at most two polynomials of the `standard' forms when l is even. The purpose of this paper is to find the `standard' generators of the cyclic codes over $\mathbb{Z}_{p^a}$ of length a multiple of p, namely the ideals of $\mathbb{Z}_{p^a}[X]/(X^l\;-\;1)$ with an integer l which is a multiple of p. We also find an explicit description of their duals in terms of the generators when a = 2.

APPLICATIONS OF INTEGRATED SAFETY ANALYSIS METHODOLOGY TO RELOAD SAFETY EVALUATION

  • Jang, Chan-Su;Um, Kil-Sup
    • Nuclear Engineering and Technology
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    • 제43권2호
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    • pp.187-194
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    • 2011
  • Korea Nuclear Fuel is developing the X-GEN fuel which shows high performance and robust reliability for the worldwide supply. However, the simplified code systems such as CESEC-III which were developed in 1970s are still used in the current Non-LOCA safety analysis of OPR1000 and APR1400 plants. Therefore, it is essential to secure an advanced safety analysis methodology to make the best use of the merits of X-GEN fuel. To accomplish this purpose, the $\b{i}$ntegrated $\b{s}$afety $\b{a}$nalysis $\b{m}$ethodology (iSAM), is developed by selecting the best-estimate thermal-hydraulic code RETRAN. iSAM possesses remarkable advantages, such as generality, integrity, and designer-friendly features. That is, iSAM can be applied to both OPR1000 and APR1400 plants and uses only one computer code, RETRAN, in the whole scope of the non-LOCA safety analyses. Also the iSAM adopts the unique and automatic initialization and run tool, $\b{a}$utomatic $\b{s}$teady-$\b{s}$tate $\b{i}$nitialization and $\b{s}$afety analysis too l (ASSIST), to enable unhandy designers to use the new design code RETRAN without difficulty. In this paper, a brief overview of the iSAM is given, and the results of applying the iSAM to typical non-LOCA transients being checked during the reload design are reported. The typical non-LOCA transients selected are the single control element assembly withdrawal (SCEAW) accident, the asymmetric steam generator transients (ASGT), the locked rotor (LR) accident, and bank CEA withdrawal (BCEAW) event. Comparison to current licensing results shows a close resemblance; thus, it reveals that the iSAM can be applied to the non-LOCA safety analysis of OPR1000 and APR1400 plants.

몬테카를로 영상모의실험 코드를 이용한 Gd$_2$O$_2$S(Tb) 섬광체 및 광센서 어레이 기반 디지털 X-선 영상시스템의 화질평가 (Evaluation of Image Qualities for a Digital X-ray Imaging System Based on Gd$_2$O$_2$S(Tb) Scintillator and Photosensor Array by Using a Monte Carlo Imaging Simulation Code)

  • 정만희;정인범;박주희;오지은;조효성;한봉수;김신;이봉수;김호경
    • 대한의용생체공학회:의공학회지
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    • 제25권4호
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    • pp.253-259
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    • 2004
  • 본 연구에서는 디지털 X-선 영상시스템의 최적화 설계를 위하여 몬테카를로 방법을 이용한 영상모의실험용 코드를 visual $C^{++}$ 프로그래밍 언어를 사용하여 개발하였다. 디지털 X-선 영상시스템으로 Gd$_2$O$_2$S(Tb) 섬광체 및 광센서 어레이를 고려하였으며, 일반적인 실험 환경을 모사하기 위해 2차원 평행 그리드를 포함시켰다. X-선과 피사체, 그리드 및 섬광체와의 반응, 그리고 섬광체에서 발생된 빛의 거동 및 광센서 어레이에서의 수집을 몬테카를로 방법을 이용하여 모사하였다. Gd$_2$O$_2$S(Tb) 섬광체의 두께는 66$\mu\textrm{m}$로 설정하였으며, 광센서 어레이의 픽셀 피치는 48$\mu\textrm{m}$ 그리고 픽셀의 포맷은 256${\times}$256으로 가정하였다. 다양한 모의실험조건에서 X-선 영상을 획득한 후 객관적인 영상시스템의 성능평가 지표인 SNR(signal-to-noise ratio), MTF(modulation transfer function), NPS(noise power spectrum), DQE(detective quantum efficiency) 등을 계산하였으며, 이를 통해 화질을 평가하였다. 본 연구에서 개발된 영상모의실험 코드는 다양한 디지털 X-선 영상시스템에 대해 여러 설계변수들에 대한 성능을 예측함으로써 영상시스템 최적설계에 활용될 수 있다.

Extensions of Streaming Rays Method for Streaming Dominant Neutron Transport Problems

  • Hong, Ser-Gi;Cho, Nam-Zin
    • Nuclear Engineering and Technology
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    • 제28권3호
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    • pp.320-330
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    • 1996
  • The streaming rays(SR) method is improved and extended to multigroup, anisotropic scattering, and three-dimensional angular space(x-y-z(infinite))problems. This method is applied to the shielding problems in which the ray effect occurs seriously. For verification, the results of MORSE-CG code are used as reference solution and the results of TWODANT code are compared. The results show that solutions of the SR method are much better than those of the TWODANT code and are in good agreement with those of the MORSE-CG code. Also, to reduce computing time, two acceleration algorithms are implemented in the SR method : the standard coarse-mesh rebalance and a new angular two-grid acceleration.

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중성자 토모그래피를 위한 영상처리 자체코드 개발 연구 (Research for development of our own image processing code for neutron tomography)

  • 김진만;김태주;유동인
    • 한국가시화정보학회지
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    • 제18권1호
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    • pp.44-49
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    • 2020
  • Neutron radiography has been widely used in many research areas due to its different characteristics from X-rays. Neutron tomography is a powerful tool because it can clearly show the inside of an object that the eye cannot see. However, generally, commercial software is used for the reconstruction of neutron tomography. It means that maintenance costs are incurred and analysis is inefficient in some cases. In this respect, our own image processing code is required to reconstruct neutron images efficiently. In this study, an image processing code is developed for reconstruction of cross-sectional images from neutron radiography taken from the side of the object. Using the developed code, cross-sectional images of the sample are successfully reconstructed.

웹 표준 모듈(Non-ActiveX)기반 한 안전한 은행거래를 위한 연구 (A study on the Web Standard Modules (Non-ActiveX) based on Secure Banking Transactions)

  • 남기복;박구락;김재웅;이윤열
    • 한국컴퓨터정보학회:학술대회논문집
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    • 한국컴퓨터정보학회 2016년도 제54차 하계학술대회논문집 24권2호
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    • pp.243-244
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    • 2016
  • 은행거래를 하려면 Active X를 기반으로 하는 보안 통합설치프로그램, 공인인증 보안프로그램, 개인 PC방화벽 프로그램 등 보안에 필요한 프로그램을 설치해야한다. 그러나 Active X의 보안취약점으로 앞으로 나올 브라우저에서는 Active X대신 웹 표준 모듈을 기반으로 하는 보안 시스템을 제공하고 있다. 본 논문은 Active X를 대체할 수 있는 것으로 웹 표준 모델에 근거한 QR코드 및 지문인식을 통한 인증을 제안한다. 본 논문에서 제안한 시스템을 적용한다면, 보다 안전한 은행거래를 하는데 도움을 줄 수 있다.

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최소거리가 5인 이진 순회부호의 최소거리에 관한 새로운 증명 (New Proof of Minimum Distance for Binary Cyclic Codes with $d_{min}$=5)

  • 노종선
    • 한국통신학회논문지
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    • 제25권10A호
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    • pp.1576-1581
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    • 2000
  • 부호길이가 $2^{n}-1$이고 생성다항식이 g(x)=$m_1(x)m_{d}(x)$인 이진 순회부호에서 최소거리가 5가 되기 위한 조건은 $x^{d}$가 APN 함수라는 것으로 이는 이미 알려진 내용인데 이에 관한 새로운 증명을 제시하였다.

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PRIMITIVE IDEMPOTENTS IN THE RING F4[x]/〈xpn-1〉 AND CYCLOTOMIC Q CODES

  • Batra, Sudhir;Mathur, Rekha
    • 대한수학회보
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    • 제55권3호
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    • pp.971-997
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    • 2018
  • The parity of cyclotomic numbers of order 2, 4 and 6 associated with 4-cyclotomic cosets modulo an odd prime p are obtained. Hence the explicit expressions of primitive idempotents of minimal cyclic codes of length $p^n$, $n{\geq}1$ over the quaternary field $F_4$ are obtained. These codes are observed to be subcodes of Q codes of length $p^n$. Some orthogonal properties of these subcodes are discussed. The minimal cyclic codes of length 17 and 43 are also discussed and it is observed that the minimal cyclic codes of length 17 are two weight codes. Further, it is shown that a Q code of prime length is always cyclotomic like a binary duadic code and it seems that there are infinitely many prime lengths for which cyclotomic Q codes of order 6 exist.

Optimization of HE-AAC for Korean S-DMB Using TMS320C55x DSP Core

  • Kim, Hyung-Jung;Jee, Deock-Gu
    • The Journal of the Acoustical Society of Korea
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    • 제25권4E호
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    • pp.137-141
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    • 2006
  • This paper presents HE-AAC decoder optimization on TMS320C55x fixed-point DSP core using a DSP-C like FFR code, which provides fast and flexible porting to a DSP core. Our optimization efforts are focused on methodologies that include general optimization methods of FFR code suitable for general DSP or RISC platform in high-level language and software optimization methods in assembly language level. The implementation result requires 48 MIPS and 135 Kbytes memory space to decode 48 Kbps stereo using real Korean S-DMB data.

FREE CYCLIC CODES OVER FINITE LOCAL RINGS

  • Woo, Sung-Sik
    • 대한수학회보
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    • 제43권4호
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    • pp.723-735
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    • 2006
  • In [2] it was shown that a 1-generator quasi-cyclic code C of length n = ml of index l over $\mathbb{Z}_4$ is free if C is generated by a polynomial which divides $X^m-1$. In this paper, we prove that a necessary and sufficient condition for a cyclic code over $\mathbb{Z}_pk$ of length m to be free is that it is generated by a polynomial which divides $X^m-1$. We also show that this can be extended to finite local rings with a principal maximal ideal.