New results on modular Golomb rulers, optical orthogonal codes and related structures
DOI:
https://doi.org/10.26493/1855-3974.2374.9ffKeywords:
Golomb ruler, optical orthogonal code, difference familyAbstract
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 ≤ 11, and we present a general existence result that holds for all k ≥ 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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2020-11-26
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Articles in this journal are published under Creative Commons Attribution 4.0 International License
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