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On the Number of Distinct Autocorrelation Distributions of M-ary Sidel'nikov Sequences (M진 Sidel'nikov 수열의 서로 다른 자기 상관 분포의 개수)

  • Chung, Jung-Soo;Kim, Young-Sik;No, Jong-Seon;Chung, Ha-Bong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.10C
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    • pp.929-934
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    • 2007
  • In this paper, we enumerate the number of distinct autocorrelation distributions that M-ary Sidel'nikov sequences can have, while we change the primitive element for generating the sequence. Let p be a prime and $M|p^n-1$. For M=2, there is a unique autocorrelation disuibution. If M>2 and $M|p^k+1$ for some k, $1{\leq}k, then the autocorrelatin distribution of M-ary Sidel'nikov sequences is unique. If M>2 and $M{\nmid}p^k+1$ for any k, $1{\leq}k, then the autocorrelation distribution of M-ary Sidel'nikov sequences is less than or equal to ${\phi}(M)/k'(or\;{\phi}(M)/2k')$, where k' is the smallest integer satisfying $M|p^{k'}-1$.

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.

New Families of p-ary Sequences With Low Correlation and Large Linear Span (낮은 상관 특성과 큰 선형 복잡도를 갖는 새로운 p-진 수열군)

  • Kim, Young-Sik;Chung, Jung-Soo;No, Jong-Seon;Shin, Dong-Joon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.33 no.7C
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    • pp.534-539
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    • 2008
  • For an odd prime p, n=4k, and $d=((p^{2k}+1)/2)^2$, Seo, Kim, No, and Shin derived the correlation distribution of p-ary m-sequence of period $p^n-1$ and its decimated sequences by d. In this paper, two new families of p-ary sequences with family size $p^{2k}$ and maximum correlation magnitude $[2]sqrt{p^n}-1$ are constructed. The linear complexity of new p-ary sequences in the families are derived in the some cases and the upper and lower bounds of their linear complexity for general cases are presented.

THREE DIFFERENT WAYS TO OBTAIN THE VALUES OF HYPER m-ARY PARTITION FUNCTIONS

  • Eom, Jiae;Jeong, Gyeonga;Sohn, Jaebum
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.6
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    • pp.1857-1868
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    • 2016
  • We consider a natural generalization of $h_2(n)$, denoted $h_m(n)$, which is the number of partitions of n into parts which are power of $m{\geq}2$ wherein each power of m is allowed to be used as a part at most m times. In this note, we approach in three different ways using the recurrences, the matrix and the tree to calculate the value of $h_m(n)$.

A Semantic Similarity Decision Using Ontology Model Base On New N-ary Relation Design (새로운 N-ary 관계 디자인 기반의 온톨로지 모델을 이용한 문장의미결정)

  • Kim, Su-Kyoung;Ahn, Kee-Hong;Choi, Ho-Jin
    • Journal of the Korean Society for information Management
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    • v.25 no.4
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    • pp.43-66
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    • 2008
  • Currently be proceeded a lot of researchers for 'user information demand description' for interface of an information retrieval system or Web search engines, but user information demand description for a natural language form is a difficult situation. These reasons are as they cannot provide the semantic similarity that an information retrieval model can be completely satisfied with variety regarding an information demand expression and semantic relevance for user information description. Therefore, this study using the description logic that is a knowledge representation base of OWL and a vector model-based weight between concept, and to be able to satisfy variety regarding an information demand expression and semantic relevance proposes a decision way for perfect assistances of user information demand description. The experiment results by proposed method, semantic similarity of a polyseme and a synonym showed with excellent performance in decision.

Improving Lookup Time Complexity of Compressed Suffix Arrays using Multi-ary Wavelet Tree

  • Wu, Zheng;Na, Joong-Chae;Kim, Min-Hwan;Kim, Dong-Kyue
    • Journal of Computing Science and Engineering
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    • v.3 no.1
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    • pp.1-4
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    • 2009
  • In a given text T of size n, we need to search for the information that we are interested. In order to support fast searching, an index must be constructed by preprocessing the text. Suffix array is a kind of index data structure. The compressed suffix array (CSA) is one of the compressed indices based on the regularity of the suffix array, and can be compressed to the $k^{th}$ order empirical entropy. In this paper we improve the lookup time complexity of the compressed suffix array by using the multi-ary wavelet tree at the cost of more space. In our implementation, the lookup time complexity of the compressed suffix array is O(${\log}_{\sigma}^{\varepsilon/(1-{\varepsilon})}\;n\;{\log}_r\;\sigma$), and the space of the compressed suffix array is ${\varepsilon}^{-1}\;nH_k(T)+O(n\;{\log}\;{\log}\;n/{\log}^{\varepsilon}_{\sigma}\;n)$ bits, where a is the size of alphabet, $H_k$ is the kth order empirical entropy r is the branching factor of the multi-ary wavelet tree such that $2{\leq}r{\leq}\sqrt{n}$ and $r{\leq}O({\log}^{1-{\varepsilon}}_{\sigma}\;n)$ and 0 < $\varepsilon$ < 1/2 is a constant.

Cross-Correlation Distribution of a p-ary m-Sequence Family Constructed by Decimation (Decimation에 의해 생성된 p-진 m-시퀀스 군의 상호 상관 값의 분포)

  • Seo, Eun-Young;Kim, Young-Sik;No, Jong-Seon;Shin, Dong-Joon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.33 no.9C
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    • pp.669-675
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    • 2008
  • For an odd prime p, n=4k and $d=((p^2k+1)/2)^2$, there are $(p^{2k}+1)/2$ distinct decimated sequences, s(dt+1), $0{\leq}l<(p^{2k}+1)/2$, of a p-ary m-sequence, s(t) of period $p^n-1$. In this paper, it is shown that the cross-correlation function between s(t) and s(dt+l) takes the values in $\{-1,-1{\pm}\sqrt{p^n},-1+2\sqrt{p^n}\}$ and their, cross-correlation distribution is also derived.

A Topology Independent Heuristic Load Balancing Algorithm for Multiprocessor Environment (다중 프로세서 환경에서 연결구조에 무관한 휴리스틱 부하평형 알고리즘)

  • Song Eui-Seok;Sung Yeong-Rak;Oh Ha-Ryoung
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.42 no.1
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    • pp.35-44
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    • 2005
  • This paper proposes an efficient heuristic load balancing algorithm for multiprocessor systems. The algorithm minimizes the number of idle links to distribute load traffic and reduces its communication cost. Each processor iteratively tries to transfer unit load to/from all neighbor processors. However, real load transfer is collectively done after all load traffic is calculated. This prevents useless traffic and thus reduces the overall load traffic. The proposed algorithm can be employed in various interconnection topologies with slight modifications. In this paper, it is applied to hypercube, mesh, k-ary n-cube and general graph environments. For performance evaluation, simulation studies are performed. The proposed algorithm and the well-known existing algorithms are implemented and compared. The results show that the proposed algorithm always balances the loads perfectly. furthermore, in comparison with the existing algorithms, it reduces the communication costs by 77%, 74% and 73% in the hypercube, the mesh, and k-ary n-cube, respectively.

New Constructions of p-ary Bent Sequences (새로운 p진 Bent 수열의 생성)

  • 김영식;장지웅;노종선
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.10C
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    • pp.930-935
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    • 2003
  • In this paper, using bent functions defined [n the finite field we generalized the construction method of the family of p-ary bent sequences with balanced and optimal correlation property introduced by Kumar and Moreno for an odd prime p[3], called a generalized p-ary bent sequence. It turns out that the family of balanced p-ary sequences with optimal correlation property introduced by Moriuchi and Imamura [6] is a special case of the generalized p-ary bent sequences.

Underwater Laser Communication Using LDPC Coded Method (LDPC 부호화 기술을 이용한 수중 레이저 통신)

  • Lee, A-Hyun;Baek, Chang-Uk;Lee, Dong-Hun;Jung, Ji-Won
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.11 no.3
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    • pp.246-252
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    • 2018
  • Recent studies have been received much attention on underwater laser communication, which is capable of high data rate. However, in underwater laser communication, distortions caused by absorption and scattering induced performance degradation. A typical way to improve performance is to apply channel coding technique. In the beginning of studies, simple methods such as RS and BCH coding techniques were applied. However, due to distance expansion and performance improvement, channel coding methods with low error probability such as LDPC coded method were applied. In this paper, we analyzed the performance according to the size of the code word N, the distance between the transceivers and the size of the M of the M-ary PPM modulation scheme. Simulation results show that parameter M of M-ary PPM is most effect on performance.