• Title/Summary/Keyword: $m$-수열

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New Decimations of Binary Sequences with 4-Valued Cross-Correlations (상호상관 함숫값이 4개인 이진수열의 새로운 데시메이션)

  • Kwon, Sook-Hee;Cho, Sung-Jin;Kwon, Min-Jeong;Kim, Han-Doo;Choi, Un-Sook;Kim, Jin-Gyoung
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.17 no.3
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    • pp.627-633
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    • 2013
  • An important problem in the transmission performance and efficiency is to find the values and the number of the cross-correlation function between two different maximal sequences. In this paper, we present the new maximal sequences which are obtained by the new decimations $d=\frac{2^{m-st-1}}{2^s-1}(2^n+2^{st+s+1}-2^{m+st+1}-1)$ from some maximal sequences. We will also find the values and the number of occurrences of each value of the cross-correlation function from the proposed decimations.

Complexity of the Symmerge Algorithm (Symmerge 알고리즘의 복잡도 )

  • Kim, Pok-Son
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.2
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    • pp.272-277
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    • 2008
  • Symmerge is a stable minimum storage merging algorithm that needs $O(m{\log}{\frac{n}{m}})$ element comparisons, where in and n are the sizes of the input sequences with $m{\leq}n$. Hence, according to the lower bound for merging, the algorithm is asymptotically optimal regarding the number of comparisons. The Symmerge algorithm is based on the standard recursive technique of "divide and conquer". The objective of this paper is to consider the relationship between m and n for the degenerated case where the recursion depth reaches m-1.

A New Construction of Quaternary LCZ Sequence Set Using Binary LCZ Sequence Set (이진 낮은 상관 구역 수열군을 이용한 새로운 4진 낮은 상관 수열군의 생성법)

  • Jang, Ji-Woong;Kim, Sang-Hyo;Lim, Dae-Woon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.1C
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    • pp.9-14
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    • 2009
  • In this paper, using the binary (N,M,L,1) low correlation zone(LCZ) sequence set with specific property, we propose the construction method of a quaternary LCZ sequence set with parameters (2N,2M,L,2). The binary LCZ sequence using this method must have period $N{\equiv}3$ mod 4, balance property, and specific correlation property. The proposed method is modified from the construction method of binary LCZ sequence set by using binary LCZ sequence with specific condition proposed by Kim, Jang, No, and Chung[4].

On the Autocorrelation Distributions of Sidel'nikov Sequences (Sidel'nikov 수열의 자기상관 분포)

  • Kim Young-Sik;Chung Jung-Soo;No Jong-Seon;Chung Habong;Kim Kyung-ah
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.30 no.8C
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    • pp.735-741
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    • 2005
  • In this paper, we derived the autocorrelation distributions, i.e., the values and the number of occurrences of each value of the autocorrelation function of Sidel'nikov sequences. The frequency of each autocorrelation value of an M-ary Sidel'nikov sequence is expressed in terms of the cyclotomic numbers of order M. It is also pointed out that the total number of distinct autocorrelation values is dependent not oかy on M but also on the sequence, but always less than or equal to ($\frac{M}{2}$)+1.

Color enhancement and characteristics of natural rubies originated in Africa by the hydrothermal treatment method (수열처리법에 의한 아프리카산 천연루비의 색상개선 및 특성평가)

  • Park, Chun-Won
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.15 no.4
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    • pp.145-151
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    • 2005
  • Color enhancement of African rubies with dark red was carried out by the heat treatment and the hydrothermal treatment method respectively. The heat treatment method brought about an adverse effect causing the color to be deteriorated. However, the hydrothermal treatment method enhanced its color and clarity. The hydrothermal treatment conditions for color enhancement of them were as follows: solvent: 0.9M $Na_2CO_3-1M\;K_2CO_3$, temperature: $450^{\circ}C$, duration: 48 hrs, filling: $30\%$, pressure: 375 atm. As the results of characteristics for African rubies obtained under these conditions, it was known that the amount of $Cr^{3+},\;Fe^{3+},\;Ti^{4+}$ was reduced after the hydrothermal treatment from the ICP/MS and XRF analyses. Also, it was found that the red color from the colorimeter analyses was getting lighter. These results were consistent with the PL analysis showing that the intensity of the luminescence peak generated by the electron transition of $Cr^{3+}$ ion became lower after the hydrothermal treatment compared with the non-treated rubies.

Hydrothermal Synthesis of Hydroxyapatite Whiskers for Reinforcement of Biocements (생체시멘트 보강용 수산화아파타이트 휘스커의 수열합성)

  • 송태웅;손영도
    • Journal of the Korean Ceramic Society
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    • v.38 no.7
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    • pp.648-653
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    • 2001
  • 구연산이 첨가된 0.01 M의 $\beta$-인산칼슘 용액을 수열처리 하여 휘스커 상 수산화아파타이트를 합성할 때 수열처리 온도 및 시간이 휘스커의 생성에 미치는 영향을 관찰하였다. 용액을 30$0^{\circ}C$에서 5시간 수열처리 할 때 c축으로 약 60-80$\mu\textrm{m}$까지 성장하고 비교적 순수한 휘스커를 얻을 수 있었으며 이렇게 합성된 수산화아파타이트 휘스커를 수산화아파타이트 시멘트에 1-2 wt% 첨가하였을 때 그 경화체의 직경인장강도는 약 4-6배까지 증가하였다.

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Analysis of Cross-Correlation of m-sequences and Equation on Finite Fields (유한체상의 방정식과 m-수열의 상호상관관계 분석)

  • Choi, Un-Sook;Cho, Sung-Jin
    • The Journal of the Korea institute of electronic communication sciences
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    • v.7 no.4
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    • pp.821-826
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    • 2012
  • p-ary sequences of period $N=2^k-1$ are widely used in many areas of engineering and sciences. Some well-known applications include coding theory, code-division multiple-access (CDMA) communications, and stream cipher systems. The analysis of cross-correlations of these sequences is a very important problem in p-ary sequences research. In this paper, we analyze cross-correlations of p-ary sequences which is associated with the equation $(x+1)^d=x^d+1$ over finite fields.

A New Construction Method of Quaternary LCZ Sequence Set (4진 낮은 상관 구역 수열군의 새로운 생성법)

  • Jang, Ji-Woong;Kim, Young-Sik;Lim, Dae-Woon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.2C
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    • pp.153-157
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    • 2009
  • In this paper, for even integer N, we propose a new construction method of quaternary low correlation zone(LCZ) sequence set from a binary LCZ sequence set with parameters (N,M,L,$\varepsilon$). Proposed method applies the inverse gray mapping from Krone and Sarwate to binary LCZ sequences and their phase shifts. The only needed condition of binary LCZ sequence set used in this construction is even period.

Color enhancement of Australian natural sapphire by the hydyothermal method (수열법에 의한 호주산 천연 사파이어의 색상 개선)

  • Kim, Hee-Seung
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.16 no.6
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    • pp.240-243
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    • 2006
  • The significant color enhancement in low quality Australian natural sapphire has been achieved by a hydrothermal method. The optimal conditions for the color enhancement of Australian natural sapphire were as follows; hydrothermal reaction temperature: $320{\sim}350^{\circ}C$, duration : 3 days, hydrothermal solvent: 2 M NaOH solution. After the hydrothermal treatment, Australian natural sapphires of transparent colors were obtained, and their grades were found to be improved from commercial to middle/top grade by value chart analysis.

On a High-Speed Parallel-LM Binary Sequcence Generator (고속 병렬형 LM 이진 수열 발생기)

  • Lee, Hoon-Jae
    • The KIPS Transactions:PartC
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    • v.10C no.7
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    • pp.851-856
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    • 2003
  • The LM generator is an improved summation generator with maximum period, near maximum linear complexity and maximum order of correlation immunity, and it has a property with the input-output correlation immunity In this paper, we propose the high-speed m-parallel LM-BSG and 8-parallel LM-BSG for detail as a design example. When compared with a conventional stream cipher, the properties of the proposed cipher exhibited the same crypto-degree (security) with a rt times faster processing.