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在这篇文章中研究了利用分圆类构造差集偶以及其存在的一些必要条件,主要由三部分组成,首先给出了分圆类和差集偶的一些概念和基本性质:第二部分提出在一种分圆中用分圆类构造差集偶的两个定理并给出证明过程最后还列举了具体的一些例子;最后对差集偶能否在两种分圆中存在进行了讨论提出一种猜想,通过一些具体的例子得出结论证明猜想是有一定的合理性的。以及也提出进一步探讨两种分圆中两个分圆类的并能否存在差集偶的研究思路。
In this paper, we study some necessary conditions for the construction of difference sets and their existence by using circles, which are mainly composed of three parts. First, some concepts and basic properties of circles and difference sets are given. The second part In this paper, two theorems of constructing differential difference pairs by using circle classes in a circle are given and some specific examples are given finally. Finally, whether the difference sets can exist in the two circles is discussed Put forward a kind of conjecture, through some concrete examples to conclude that the conjecture has a certain rationality. And also proposed to further explore the two rounds of two sub-circle class and whether there is difference between the dual research ideas.