论文标题
模块化golomb统治者，光学正交代码和相关结构的新结果
New Results on Modular Golomb Rulers, Optical Orthogonal Codes and Related Structures
论文作者
论文摘要
在本文中，我们证明了模块化戈隆统治者的新存在和不存在的结果。我们完全确定存在$ k $的订单$ k $的模块化戈尔姆统治者，所有$ k \ leq 11 $，我们提出了所有$ k \ geq 3 $的总体存在结果。我们还为无限类的模块化戈隆统治者和相关结构（例如差异包装，光学正交代码，循环施剂系统和相对差异系列）提供了新的不存在结果。
We prove new existence and nonexistence results for modular Golomb rulers in this paper. We completely determine which modular Golomb rulers of order $k$ exist, for all $k\leq 11$, and we present a general existence result that holds for all $k \geq 3$. We also derive new nonexistence results for infinite classes of modular Golomb rulers and related structures such as difference packings, optical orthogonal codes, cyclic Steiner systems and relative difference families.
