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Results of the enumeration of Costas arrays of order 29

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  • The results of the enumeration of Costas arrays of order 29 are presented: except for 16 arrays out of a total of 164, all other arrays found are accounted for by the Golomb and Welch construction methods. These 16 arrays, however, cannot be considered to be new, as they were discovered in the past through a semi-empirical technique. The enumeration was performed on several computer clusters and required the equivalent of 366.55 years of single CPU time.
    Mathematics Subject Classification: Primary: 05A15, 05B10; Secondary: 05A05, 11B50.

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    K. Drakakis, F. Iorio and S. Rickard, The enumeration of Costas arrays of order 28 and its consequences, Adv. Math. Commun., 5 (2011), 69-86.doi: 10.3934/amc.2011.5.69.

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    S. Rickard, Searching for Costas arrays using periodicity properties, in "IMA International Conference on Mathematics in Signal Processing at The Royal Agricultural College,'' Cirencester, UK, 2004.

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