Interlaced Costas Arrays Do Not Exist

Interlaced Costas Arrays Do Not Exist

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.

Bibliographic Details
Main Authors: Konstantinos Drakakis, Rod Gow, Scott Rickard
Format: Article
Language:English
Published: Hindawi Limited 2008-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2008/456034
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spelling doaj-232df826cc2e4118a500a39dab50a8842020-11-25T00:14:02ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472008-01-01200810.1155/2008/456034456034Interlaced Costas Arrays Do Not ExistKonstantinos Drakakis0Rod Gow1Scott Rickard2School of Electrical, Electronic & Mechanical Engineering, University College Dublin, Belfield, Dublin 4, IrelandComplex & Adaptive Systems Laboratory, Block 8, Belfield Office Park, Clonskeagh, Dublin 4, IrelandSchool of Electrical, Electronic & Mechanical Engineering, University College Dublin, Belfield, Dublin 4, IrelandWe 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.http://dx.doi.org/10.1155/2008/456034
collection DOAJ
language English
format Article
sources DOAJ
author Konstantinos Drakakis
Rod Gow
Scott Rickard
spellingShingle Konstantinos Drakakis
Rod Gow
Scott Rickard
Interlaced Costas Arrays Do Not Exist
Mathematical Problems in Engineering
author_facet Konstantinos Drakakis
Rod Gow
Scott Rickard
author_sort Konstantinos Drakakis
title Interlaced Costas Arrays Do Not Exist
title_short Interlaced Costas Arrays Do Not Exist
title_full Interlaced Costas Arrays Do Not Exist
title_fullStr Interlaced Costas Arrays Do Not Exist
title_full_unstemmed Interlaced Costas Arrays Do Not Exist
title_sort interlaced costas arrays do not exist
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2008-01-01
description 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.
url http://dx.doi.org/10.1155/2008/456034
work_keys_str_mv AT konstantinosdrakakis interlacedcostasarraysdonotexist
AT rodgow interlacedcostasarraysdonotexist
AT scottrickard interlacedcostasarraysdonotexist
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