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.
关键词
集合差系统/分圆类/差覆盖/码字同步
Key words
difference system of sets/cyclotomic class/difference covering/code synchronization
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