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August  2009, 3(3): 235-250. doi: 10.3934/amc.2009.3.235

A review of the available construction methods for Golomb rulers

Konstantinos Drakakis 1,

1. 

UCD CASL, University College Dublin, Belfield, Dublin 4, Ireland

Received  January 2009 Revised  July 2009 Published  August 2009

We collect the main construction methods for Golomb rulers available in the literature along with their proofs. In particular, we demonstrate that the Bose-Chowla method yields Golomb rulers that appear as the main diagonal of a special subfamily of Golomb Costas arrays. We also show that Golomb rulers can be composed to yield longer Golomb rulers.
Keywords: Erdös-Turan construction, Singer construction., Golomb ruler, Bose-Chowla construction, Golomb construction, Costas array, Rusza-Lindström construction.
Mathematics Subject Classification: Primary: 05B10, 11B50; Secondary: 51E15, 05B2.
Citation: Konstantinos Drakakis. A review of the available construction methods for Golomb rulers. Advances in Mathematics of Communications, 2009, 3 (3) : 235-250. doi: 10.3934/amc.2009.3.235
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