A multiplicity-aware gap lemma converts modular g-Golomb rulers into ordinary ones with a strictly larger guaranteed cut, yielding competing upper bounds on G(g,n) from RDS, Singer, Ruzsa–Spence and Paley sources.
Codes Cryptogr.4(1994), 221–261, DOI 10.1007/BF01388454
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Modular Constructions of g-Golomb Rulers
A multiplicity-aware gap lemma converts modular g-Golomb rulers into ordinary ones with a strictly larger guaranteed cut, yielding competing upper bounds on G(g,n) from RDS, Singer, Ruzsa–Spence and Paley sources.