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集合差系统的新构造

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研究集合差系统新的构造方法.借助有限域上分圆类,给出集合差系统的两个直接构造;再利用克罗内克积建立集合差系统新的递归构造,并推广了已知构造.最后应用所得到的直接构造和递归构造给出了新的渐近最优的集合差系统.
New constructions of difference systems of sets
In this paper,we study new constructions of difference systems of sets.Two direct constructions of difference systems of sets are presented using cyclotomic classes over finite fields,and a new recursive construction of difference systems of sets is established using Kronecker product,which can be viewed as a generalization of the known constructions.By applying these direct and recursive constructions,some infinite series of asymptotically optimal difference systems of sets can be constructed.

difference system of setscyclotomic classdifference coveringcode synchronization

沈淑钰、包经俊

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宁波大学数学与统计学院,浙江宁波 315211

集合差系统 分圆类 差覆盖 码字同步

国家自然科学基金

11701303

2024

宁波大学学报(理工版)
宁波大学

宁波大学学报(理工版)

CSTPCD
影响因子:0.354
ISSN:1001-5132
年,卷(期):2024.37(2)
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