• Journal of Applied and Pure Mathematics
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• 제4권3_4호
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• pp.211-219
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• 2022

We study MDS(maximum distance separable) self-dual codes over Galois ring R = GR(2^m, r). We prove that there exists an MDS self-dual code over R of length n if (n - 1) divides (2^r - 1), and 2^m divides n. We also provide the current state of the problem for the existence of MDS self-dual codes over Galois rings.

• 한국정보과학회논문지:컴퓨팅의 실제 및 레터
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• 제16권6호
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• pp.648-653
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• 2010

비계량 다차원 척도법은 개체들 간의 비유사성이 비계량으로 주어져 개체들 간의 거리 개념을 설정하기 어려운 경우에 개체들을 유클리드 공간 상으로 사상하여 개체 간의 관련성을 연구하는 방법으로 지역 최적치가 많은 최적화 문제로 간주할 수 있다. 비계량 다차원 척도법을 위한 기존의 알고리즘은 최대 경사법을 사용함으로 일단 지역 최적치에 도달하면 더 이상 향상된 해를 찾기 어렵다는 단점이 있다. 이러한 단점을 해결하기 위하여 본 논문에서는 담금질 방법을 비계량 다차원 척도법에 접목하여 지역 최적치에 빠지지 않고 전역 최적치를 효율적으로 찾을 수 있는 새로운 비계량 다차원 척도법 알고리즘을 제안하였다. 제안한 알고리즘을 벤치마킹 문제에 적용하고 실험을 통하여 기존 알고리즘과 비교 분석한 결과, 제안한 알고리즘은 기존 알고리즘 대비 0.7%에서 3.2%의 향상률을 보였다. 또한 통계적 가설 검정을 통하여 제안한 알고리즘의 우수성을 입증하였다.

• Ocean and Polar Research
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• 제38권2호
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• pp.115-128
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• 2016

This study examined the relationship between macrobenthic distribution patterns and environmental factors in salt marsh vegetation in Donggeomdo, Ganghwa on the west coast of Korea. Nine stations were fixed on a transect across the salt marsh vegetation, and field sampling was carried out monthly from July 1997 to June 1998. A total of 38 species of macrobenthos were recorded: each of faunal groups, 13 (34.2%) Arthropoda, 12 (31.6%) Polychaeta, 8 (21.1%) Mollusca, and 5 (13.2%) others. The mean density was $2,659individuals/m^2$, with a mean biomass of $178.6gWWt/m^2$. Mollusca dominated in terms of abundance and biomass, with a mean density of $2,172individuals/m^2$ (81.7%) and a mean biomass of $131.9gWWt/m^2$ (73.9%). The number of species decreased in winter (January-February), while mean density increased in the spring (May-June). The biomass was relatively in Summer and Fall (July-November), than any other season. The number of species was high in pure stands of Suaeda japonica in the lower salt marsh vegetation, and the mean density and biomass were high in mixed halophyte communities in the middle salt marsh vegetation. Two Mollusca, the bivalve Glauconome chinensis and gastropod Assiminea lutea, were dominant. The densities of these two species were high in mixed halophyte communities in the middle salt marsh vegetation. Non-metric multi-dimensional scaling (nMDS) showed that the study area could be divided into four groups corresponding to the vertical distribution of tidal levels and halophytes. Spearman's rank correlation revealed that the distribution patterns and community structure of macrobenthos were related to environment variables such as salinity of the substrates, exposure time, and grain size compositions of the sediment in the salt marsh vegetation. Particularly, the distribution and density of some dominant species showed differences along the vertical distributions of halophytes.