23 citations · 25 across the 8 of their papers we have counts for
8 papers
Open problems in Costas arrays
Konstantinos Drakakis
A collection of open problems in Costas arrays is presented, classified into several categories, along with the context in which they arise.
On nowhere continuous Costas functions and infinite Golomb rulers
Konstantinos Drakakis
We prove the existence of nowhere continuous bijections that satisfy the Costas property, as well as (countably and uncountably) infinite Golomb rulers. We define and prove the exi…
Three experimental pearls in Costas arrays
Konstantinos Drakakis
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…
Parity properties of Costas arrays defined via finite fields
Konstantinos Drakakis, Rod Gow, Scott rickard
A Costas array of order is an arrangement of dots and blanks into rows and columns, with exactly one dot in each row and each column, the arrangement satisfying certain…
On the generalization of the Costas property in the continuum
Konstantinos Drakakis, Scott Rickard
We extend the definition of the Costas property to functions in the continuum, namely on intervals of the reals or the rationals, and argue that such functions can be used in the s…
On the generalization of the Costas property to higher dimensions
Konstantinos Drakakis
We investigate the generalization of the Costas property in 3 or more dimensions, and we seek an appropriate definition; the 2 main complications are a) that the number of ``dots''…