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arXiv · 2007.01908

New Results on Modular Golomb Rulers, Optical Orthogonal Codes and Related Structures

Marco Buratti·Douglas R. Stinson
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Abstract

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.

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Marco Buratti, Douglas R. Stinson. 2020-10-11. New Results on Modular Golomb Rulers, Optical Orthogonal Codes and Related Structures. https://arxiv.org/abs/2007.01908

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