On the symmetry of Welch- and Golomb-constructed Costas arrays |
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| Authors: | Konstantinos Drakakis,Rod Gow,Liam O&rsquo Carroll |
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| Affiliation: | a UCD CASL, University College Dublin, Belfield, Dublin 4, Ireland
b School of Mathematics, University of Edinburgh, JCMB, KB, Mayfield Road, Edinburgh EH9 3JZ, UK |
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| Abstract: | We prove that Welch Costas arrays are in general not symmetric and that there exist two special families of symmetric Golomb Costas arrays: one is the well-known Lempel family, while the other, although less well known, leads actually to the construction of dense Golomb rulers. |
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| Keywords: | Costas arrays Golomb rulers Golomb and Welch constructions Finite fields |
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