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On circulant and two-circulant weighing matrices

Journal Article


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Abstract


  • We employ theoretical and computational techniques to construct new weighing matrices constructed from two circulants. In particular, we construct W(148, 144), W(152, 144), W(156, 144) which are listed as open in the second edition of the Handbook of Combinatorial Designs. We also fill a missing entry in Strassler’s table with answer “YES”, by constructing a circulant weighing matrix of order 142 with weight 100.

UOW Authors


  •   Arasu, K T. (external author)
  •   Kotsireas, Ilias S. (external author)
  •   Koukouvinos, Christos (external author)
  •   Seberry, Jennifer

Publication Date


  • 2010

Citation


  • Arasu, K. T., Kotsireas, I. S., Koukouvinos, C. & Seberry, J. (2010). On circulant and two-circulant weighing matrices. Australasian Journal of Combinatorics, 48 43-51.

Scopus Eid


  • 2-s2.0-78449292158

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=1837&context=infopapers

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/824

Has Global Citation Frequency


Number Of Pages


  • 8

Start Page


  • 43

End Page


  • 51

Volume


  • 48

Abstract


  • We employ theoretical and computational techniques to construct new weighing matrices constructed from two circulants. In particular, we construct W(148, 144), W(152, 144), W(156, 144) which are listed as open in the second edition of the Handbook of Combinatorial Designs. We also fill a missing entry in Strassler’s table with answer “YES”, by constructing a circulant weighing matrix of order 142 with weight 100.

UOW Authors


  •   Arasu, K T. (external author)
  •   Kotsireas, Ilias S. (external author)
  •   Koukouvinos, Christos (external author)
  •   Seberry, Jennifer

Publication Date


  • 2010

Citation


  • Arasu, K. T., Kotsireas, I. S., Koukouvinos, C. & Seberry, J. (2010). On circulant and two-circulant weighing matrices. Australasian Journal of Combinatorics, 48 43-51.

Scopus Eid


  • 2-s2.0-78449292158

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=1837&context=infopapers

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/824

Has Global Citation Frequency


Number Of Pages


  • 8

Start Page


  • 43

End Page


  • 51

Volume


  • 48