• Title/Summary/Keyword: 비선형수열

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Design of Key Sequence Generators Based on Symmetric 1-D 5-Neighborhood CA (대칭 1차원 5-이웃 CA 기반의 키 수열 생성기 설계)

  • Choi, Un-Sook;Kim, Han-Doo;Kang, Sung-Won;Cho, Sung-Jin
    • The Journal of the Korea institute of electronic communication sciences
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    • v.16 no.3
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    • pp.533-540
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    • 2021
  • To evaluate the performance of a system, one-dimensional 3-neighborhood cellular automata(CA) based pseudo-random generators are widely used in many fields. Although two-dimensional CA and one-dimensional 5-neighborhood CA have been applied for more effective key sequence generation, designing symmetric one-dimensional 5-neighborhood CA corresponding to a given primitive polynomial is a very challenging problem. To solve this problem, studies on one-dimensional 5-neighborhood CA synthesis, such as synthesis method using recurrence relation of characteristic polynomials and synthesis method using Krylov matrix, were conducted. However, there was still a problem with solving nonlinear equations. To solve this problem, a symmetric one-dimensional 5-neighborhood CA synthesis method using a transition matrix of 90/150 CA and a block matrix has recently been proposed. In this paper, we detail the theoretical process of the proposed algorithm and use it to obtain symmetric one-dimensional 5-neighborhood CA corresponding to high-order primitive polynomials.

MS64: A Fast Stream Cipher for Mobile Devices (모바일 단말에 적합한 고속 스트림 암호 MS64)

  • Kim, Yoon-Do;Kim, Gil-Ho;Cho, Gyeong-Yeon;Seo, Kyung-Ryong
    • Journal of Korea Multimedia Society
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    • v.14 no.6
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    • pp.759-765
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    • 2011
  • In this paper, we proposed fast stream cipher MS64 for use mobile that it is secure, fast, and easy to implement software. The proposed algorithm use the fast operating 213-bit arithmetic shift register(ASR) to generate a binary sequence and produce 64-bit stream cipher by using simple logical operation in non linear transform. MS64 supports 128-bit key in encryption algorithm and satisfy with the safety requirement in modern encryption algorithm. In simulation result shows that MS64 is faster than a 32-bit stream cipher SSC2 in the speed of operation with small usage of memory thus MS64 can be used for mobile devices with fast ciphering.

A Study on primitive polynomial in stream cipher (스트림암호에서 원시다항식에 대한 고찰)

  • Yang, Jeong-mo
    • Convergence Security Journal
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    • v.18 no.4
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    • pp.27-33
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    • 2018
  • Stream cipher is an one-time-pad type encryption algorithm that encrypt plaintext using simple operation such as XOR with random stream of bits (or characters) as symmetric key and its security depends on the randomness of used stream. Therefore we can design more secure stream cipher algorithm by using mathematical analysis of the stream such as period, linear complexity, non-linearity, correlation-immunity, etc. The key stream in stream cipher is generated in linear feedback shift register(LFSR) having characteristic polynomial. The primitive polynomial is the characteristic polynomial which has the best security property. It is used widely not only in stream cipher but also in SEED, a block cipher using 8-degree primitive polynomial, and in Chor-Rivest(CR) cipher, a public-key cryptosystem using 24-degree primitive polynomial. In this paper we present the concept and various properties of primitive polynomials in Galois field and prove the theorem finding the number of irreducible polynomials and primitive polynomials over $F_p$ when p is larger than 2. This kind of research can be the foundation of finding primitive polynomials of higher security and developing new cipher algorithms using them.

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An Analysis of Non-linear Relationship between Local Government Size and Regional Economic Growth: Armey Curve Verification Using AMG Estimation Method (지방정부규모와 지역경제성장 간 비선형관계 분석: AMG 추정법을 이용한 Armey Curve 검증)

  • So-youn Kim;Suyeol Ryu
    • Journal of the Economic Geographical Society of Korea
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    • v.25 no.4
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    • pp.629-640
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    • 2022
  • This study analyzed the relationship between local government size and regional economic growth using regional data from 2002 to 2020. By dividing local government expenditure into social development expenditure and economic development expenditure, economic growth and the inverted U-shaped Armey curve were verified, and the optimal size of local government expenditure was examined. In particular, the AMG estimation method considering the cross-sectional dependence and regional heterogeneity existing in the panel data was utilized. As a result of the analysis, it was found that there was an inverted U-shaped relationship between local fiscal expenditure and regional economic growth. When the proportion of total local fiscal expenditure is 7.63% of GRDP and social development expenditure is 3.45%, it is found that the optimal size of expenditure can maximize the regional economic growth rate. Local governments should increase the effectiveness of public expenditure policies by considering these points.

A study on Parallel Interference Cancellation scheme based sorting method for a Multi-carrier DS/CDMA System (MC-DS/CDMA 시스템에서 정렬기법을 이용한 병렬형 간섭제거기법의 성능개선에 관한 연구)

  • Park Jae-Won;Park Yong-Wan
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.42 no.1
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    • pp.17-27
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    • 2005
  • In this paper, we introduce a Parallel Interference Canceller (PIC) based sorting method to improve performance in the MC-DS/CDMA environment. A conventional PIC estimates and subtracts out all of the MAI (Multiple Access Interference) for each user in parallel. The parallel process ensures the low delay for the detection of all users. Also this scheme requires more stages for having better performance. Since the performance of PIC is strongly related to the correct MAI estimation, we introduce the IC (Interference Cancellation) scheme to estimate the accurate weaker signal group than the desired signal using conventional PIC. The principle of the proposed receiver sorts in descending order by the strength of signal and subtracts the MAI of the strong interferers from the desired signal for the accurate estimate of the weaker signals. Following this, the proposed scheme cancels out the improved weaker interference from the desired signal, using the output of the pre-step. In this result, the proposed system obtains better BER performance than the conventional PIC because the accuracy of the strong signal is improved. However, a disadvantage exists in that the processing time has slightly longer delay than the PIC owing to the power sorting and the MAI estimation process. The system performance evaluates and compares other non-liner It according to the number of sub-carriers in the limited-bandwidth.