We show that the necessary conditions are sufficient for the existence of two disjoint near (hooked) Rosa sequences, with all admissible orders $n\ge 6$ and all possible defects. Further, we apply this result for the existence of new types of cyclic and simple GDDs.

中文翻译：

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不相交（挂钩）的近罗莎序列的存在和应用

我们表明，必要条件足以满足两个不相交的近（钩）Rosa序列的存在，所有可接受的阶数 $ñ\ge 6$以及所有可能的缺陷。此外，我们将此结果应用于新类型的循环GDD和简单GDD。