Hyperplane partitions and difference systems of sets

Hyperplane partitions and difference systems of sets
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DOI:
10.1016/j.jcta.2006.03.014
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发表时间:
2006-11
期刊:
J. Comb. Theory A
影响因子:
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通讯作者:
R. Fuji-Hara;A. Munemasa;V. Tonchev
R. Fuji-Hara;A. Munemasa;V. Tonchev
中科院分区:
其他
文献类型:
--
作者:
R. Fuji-Hara;A. Munemasa;V. Tonchev

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差分集合系统(DSS)是与码同步相关的组合配置。本文给出了由有限射影空间中的超平面的划分得到的DSS的新构造,以及由有限射影空间中的平衡广义权矩阵和超平面的补的划分得到的DSS的新构造。
Difference Systems of Sets (DSS) are combinatorial configurations that arise in connection with code synchronization. This paper gives new constructions of DSS obtained from partitions of hyperplanes in a finite projective space, as well as DSS obtained from balanced generalized weighing matrices and partitions of the complement of a hyperplane in a finite projective space.