Three experimental pearls in Costas arrays

2007/06/22 by Konstantinos Drakakis, Drakakis, Konstantinos
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #math.CO #math.NT

paper · pdf · doi:10.48550/arxiv.0706.3362

arxiv created 2007/06/22 · arxiv updated 2009/12/01

Abstract

The results of 3 experiments in Costas arrays are presented, for which theoretical explanation is still not available: the number of dots on the main diagonal of exponential Welch arrays, the parity populations of Golomb arrays generated in fields of characteristic 2, and the maximal cross-correlation between pairs of Welch or Golomb arrays generated in fields of size equal to a Sophie Germain prime.

Related

• Parity properties of Costas arrays defined via finite fields
• On the cross-correlation properties of large-size families of Costas arrays
• Multidimensional Costas Arrays and Their Periodicity
• The T₄ and G₄ constructions of Costas arrays
• On the generalization of the Costas property to higher dimensions