Geodesic
New results on modular Golomb rulers, optical orthogonal codes and related structures
Ars Mathematica Contemporanea, Tome 20 (2021) no. 1, pp. 1-27.

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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.
DOI : 10.26493/1855-3974.2374.9ff
Keywords: Golomb ruler, optical orthogonal code, difference family 
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Marco Buratti; Douglas Robert Stinson. New results on modular Golomb rulers, optical orthogonal codes and related structures. Ars Mathematica Contemporanea, Tome 20 (2021) no. 1, pp. 1-27. doi : 10.26493/1855-3974.2374.9ff. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2374.9ff/

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