• Title/Summary/Keyword: 라그랑주 보간법

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A Multi-Compartment Secret Sharing Method (다중 컴파트먼트 비밀공유 기법)

  • Cheolhoon Choi;Minsoo Ryu
    • The Transactions of the Korea Information Processing Society
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    • v.13 no.2
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    • pp.34-40
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    • 2024
  • Secret sharing is a cryptographic technique that involves dividing a secret or a piece of sensitive information into multiple shares or parts, which can significantly increase the confidentiality of a secret. There has been a lot of research on secret sharing for different contexts or situations. Tassa's conjunctive secret sharing method employs polynomial derivatives to facilitate hierarchical secret sharing. However, the use of derivatives introduces several limitations in hierarchical secret sharing. Firstly, only a single group of participants can be created at each level due to the shares being generated from a sole derivative. Secondly, the method can only reconstruct a secret through conjunction, thereby restricting the specification of arbitrary secret reconstruction conditions. Thirdly, Birkhoff interpolation is required, adding complexity compared to the more accessible Lagrange interpolation used in polynomial-based secret sharing. This paper introduces the multi-compartment secret sharing method as a generalization of the conjunctive hierarchical secret sharing. Our proposed method first encrypts a secret using external groups' shares and then generates internal shares for each group by embedding the encrypted secret value in a polynomial. While the polynomial can be reconstructed with the internal shares, the polynomial just provides the encrypted secret, requiring external shares for decryption. This approach enables the creation of multiple participant groups at a single level. It supports the implementation of arbitrary secret reconstruction conditions, as well as conjunction. Furthermore, the use of polynomials allows the application of Lagrange interpolation.

Outlier Diagnostics and Resolution to determine Obesity Status in the Korean National Health Insurance Research Database (국민건강보험공단 자료에서 비만실태 파악을 위한 이상치 진단 및 해결)

  • Kim, Dong Wook;Yoon, Ho Soon
    • The Journal of the Korea Contents Association
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    • v.17 no.9
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    • pp.476-485
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    • 2017
  • This study was analyzed obesity status by divided into six classification based on the body mass index(BMI) established by World Health Organization-Western Pacific Regional Office(WHO-WPRO) through National Health Insurance Service(NHIS). In the middle of process, problems of outlier solved by presenting the median repeated interpolation. Unlike linear and Lagrange interpolation, median repeated interpolation may be useful in multiple outlier contained dataset. As a result, we found that extreme low and obesity weight gradually increased and the frequency of normal body weight gradually decreased. Especially, the increase of obesity in men and women of lower age group is increasing. Overall, this study suggests that national measures need to be taken before health problems arising from obesity can spread to other social problems.

ISAR Imaging Using Rear View Radars of an Automobile (후방 감시 차량용 레이다를 이용한 ISAR 영상 형성)

  • Kang, Byung-Soo;Lee, Hyun-Seok;Lee, Seung-Jae;Kang, Min-Suk;Kim, Kyung-Tae
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.25 no.2
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    • pp.245-250
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    • 2014
  • This paper introduces the inverse synthetic aperture radar(ISAR) imaging technique for rear view target of an automobile, which uses both linear frequency modulation-frequency shift keying(LFM-FSK) waveform and monopulse tracking. LFM-FSK waveform consists of two sequential stepped frequency waveforms with some frequency offset, and thus, can be used to generate ISAR images of rear view target of an automobile. However, ISAR images can often be blurred due to non-uniform change rate of relative aspect angle between radar and target. In order to address this problem, one-dimensional(1-D) Lagrange interpolation technique in conjunction with angle information obtained from the monopulse tracking is applied to generate uniform data across the radar's aspect angle. Simulation results show that the proposed method can provide focused ISAR images.