Permutations with a distinct difference property Batten, Lynn and Sane, Sharad 2003, Permutations with a distinct difference property, Discrete mathematics, vol. 261, no. 1-3, pp. 59-67, doi: 10.1016/S0012-365X(02)00460-0. Attached Files Name Description MIMEType Size Downloads batten-permutationswith-2003.pdf Published version application/pdf 501.74KB 230 Title Permutations with a distinct difference property Author(s) Batten, Lynn orcid.org/0000-0003-4525-2423 Sane, Sharad Journal name Discrete mathematics Volume number 261 Issue number 1-3 Start page 59 End page 67 Publisher Elsevier BV Place of publication Amsterdam, Netherlands Publication date 2003-01-28 ISSN 0012-365X 1872-681X Keyword(s) difference property sequence Costas Summary The topic of this paper arose out of a consideration of Costas sequences, which are used in sonar and radar applications. These sequences have the defining property that all differences of elements the same distance apart, are different. Several infinite families of Costas sequences are known; but there are many existence questions for length greater-or-equal to 32. In this article, we restrict ourselves to sequences with the weaker property that all adjacent differences are different. We give a recursive construction for these, as well as building several infinite families. Language eng DOI 10.1016/S0012-365X(02)00460-0 Field of Research 010104 Combinatorics and Discrete Mathematics (excl Physical Combinatorics) Socio Economic Objective 970101 Expanding Knowledge in the Mathematical Sciences HERDC Research category C1 Refereed article in a scholarly journal Copyright notice ©2002, Elsevier Free to Read? Yes Persistent URL http://hdl.handle.net/10536/DRO/DU:30002030 Document type: Journal Article Collections: Faculty of Science, Engineering and Built Environment School of Information Technology Open Access Collection Related Links Link Description Connect to published version (restricted access) Go to link with your DU access privileges     Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au. Versions Version Filter Type Mon, 15 Apr 2013, 14:51:21 EST Fri, 13 Jun 2014, 21:48:19 EST Tue, 06 Sep 2016, 08:46:16 EST Mon, 24 Apr 2017, 14:51:52 EST Wed, 06 Dec 2017, 10:37:00 EST Fri, 07 Sep 2018, 17:41:08 EST Filtered Full Citation counts:   Cited 1 times in TR Web of Science Cited 2 times in Scopus Search Google Scholar Access Statistics: 1046 Abstract Views, 230 File Downloads  -  Detailed Statistics Created: Mon, 07 Jul 2008, 08:13:22 EST