Journal
ADVANCES IN MATHEMATICS OF COMMUNICATIONS
Volume 3, Issue 3, Pages 235-250Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/amc.2009.3.235
Keywords
Golomb ruler; Costas array; Golomb construction; Erdos-Turan construction; Rusza-Lindstrom construction; Bose-Chowla construction; Singer construction
Funding
- Science Foundation Ireland [05/YI2/I677, 06/MI/006, 08/RFP/MTH1164]
- Science Foundation Ireland (SFI) [08/RFP/MTH1164, 05/YI2/I677] Funding Source: Science Foundation Ireland (SFI)
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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.
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