2022/08/03 by Ivelisse Rubio, Rubio, Ivelisse, Jaziel Torres +1
Business, Management and Accounting · Engineering · #05B20 #Engineering and Materials Science Studies #FOS: Computer and information sciences #Flexible and Reconfigurable Manufacturing Systems #Information Theory (cs.IT) #Product Development and Customization
paper · pdf · doi:10.48550/arxiv.2208.02378
openalex publication_date 2022/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A novel higher-dimensional definition for Costas arrays is introduced. This definition works for arbitrary dimensions and avoids some limitations of previous definitions. Some non-existence results are presented for multidimensional Costas arrays preserving the Costas condition when the array is extended periodically throughout the whole space. In particular, it is shown that three-dimensional arrays with this property must have the least possible order; extending an analogous two-dimensional result by H. Taylor. Said result is conjectured to extend for Costas arrays of arbitrary dimensions.