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Article
Inequivalence of Nega-cyclic ±1 Matrices
Faculty of Informatics - Papers (Archive)
  • R. Ang, University of Wollongong
  • Jennifer Seberry, University of Wollongong
  • Tadeusz A Wysocki, University of Wollongong
RIS ID
23046
Publication Date
1-1-2006
Publication Details
This article was originally published as Ang, R, Seberry, J and Wysocki, TA, Inequivalence of Nega-cyclic ±1 Matrices, Journal of Combinatorial Mathematics and Combinatorial Computing 56, 2006, 17-32.
Abstract

We study nega-cyclic ±1 matrices. We obtain preliminary results which are then used to decrease the search space. We find that there are 2, 4, 9, 23, 63, and 187 ip-equivalence classes for lengths 3, 5, 7, 9, 11, and 13 respectively. The matrices we find are used in a variant given here of the Goethals-Seidel array to form Hadamard matrices, the aim being to later check them for suitability for CDMA schemes.

Citation Information
R. Ang, Jennifer Seberry and Tadeusz A Wysocki. "Inequivalence of Nega-cyclic ±1 Matrices" (2006)
Available at: http://works.bepress.com/jseberry/90/