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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.

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Title Permutations with a distinct difference property
Author(s) Batten, Lynn
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
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
Persistent URL http://hdl.handle.net/10536/DRO/DU:30002030

Document type: Journal Article
Collections: School of Information Technology
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