Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 456034, 9 pages
Interlaced Costas Arrays Do Not Exist
1School of Electrical, Electronic & Mechanical Engineering, University College Dublin, Belfield, Dublin 4, Ireland
2Complex & Adaptive Systems Laboratory, Block 8, Belfield Office Park, Clonskeagh, Dublin 4, Ireland
3School of Mathematics, University College Dublin, Belfield, Dublin 4, Ireland
Received 4 May 2008; Accepted 18 September 2008
Academic Editor: Fernando Lobo Pereira
Copyright © 2008 Konstantinos Drakakis et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We prove that the only Costas arrays that can be constructed
by interlacing 2 Costas arrays of smaller orders (either equal or differing by 1) are those of order 2, and
that, consequently, no non-trivial Costas arrays result from this method.