DocumentCode
268163
Title
Algebraic Symmetries of Generic 
-Dimensional Periodic Costas Arrays
Author
Ortiz-Ubarri, J. ; Moreno, OÌ ; Tirkel, Andrew Z. ; Arce-Nazario, R. ; Golomb, S.W.
Author_Institution
Comput. Sci. Dept., Univ. of Puerto Rico, San Juan, Puerto Rico
Volume
59
Issue
2
fYear
2013
fDate
Feb. 2013
Firstpage
1076
Lastpage
1081
Abstract
In this paper, we present two generators for the group of symmetries of the generic (m+1) -dimensional periodic Costas arrays over elementary abelian (BBZp)m groups: one that is defined by multiplication on m dimensions and the other by shear (addition) on m dimensions. Through exhaustive search, we observe that these two generators characterize the group of symmetries for the examples we were able to compute. Following the results, we conjecture that these generators characterize the group of symmetries of the generic (m+1) -dimensional periodic Costas arrays over elementary abelian (BBZp)m groups.
Keywords
algebra; multiplexing; watermarking; algebraic symmetries; division multiplexing; elementary abelian; exhaustive search; generic (m+1)-dimensional periodic costas arrays; watermarking; Array signal processing; Correlation; Electronic mail; Generators; Optical arrays; Optical fiber communication; Watermarking; Arrays; code division multiplexing; correlation; multidimensional signal processing; watermarking;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2012.2221678
Filename
6339067
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