Constructions of optimal difference systems of sets |
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| Authors: | FAN CuiLing LEI JianGuo & SHAN XiuLing School of Sciences Nantong University Nantong China College of Mathematics Information Science Hebei Normal University Shijiazhuang |
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| Institution: | FAN CuiLing1,LEI JianGuo2 & SHAN XiuLing2 1School of Sciences,Nantong University,Nantong 226007,China,2College of Mathematics and Information Science,Hebei Normal University,Shijiazhuang 050016 |
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| Abstract: | Difference systems of sets (DSSs) are combinatorial configurations which were introduced in 1971 by Levenstein for the construction of codes for synchronization. In this paper, we present two kinds of constructions of difference systems of sets by using disjoint difference families and a special type of difference sets, respectively. As a consequence, new infinite classes of optimal DSSs are obtained. |
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| Keywords: | difference system of sets code synchronization optimal disjoint difference family difference set |
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