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New weighing matrices constructed from two circulant submatrices

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Abstract

A number of new weighing matrices constructed from two circulants and via a direct sum construction are presented, thus resolving several open cases for weighing matrices as these are listed in the second edition of the Handbook of Combinatorial Designs.

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Authors and Affiliations

  1. Department of Physics and Computer Science, Wilfrid Laurier University, 75 University Avenue West, Waterloo, ON, N2L 3C5, Canada

    I. S. Kotsireas

  2. Department of Mathematics, National Technical University of Athens, 157 73, Zografou, Athens, Greece

    C. Koukouvinos

  3. Centre for Computer and Information Security Research, School of Information Technology and Computer Science, University of Wollongong, Wollongong, NSW, 2522, Australia

    J. Seberry

Authors
  1. I. S. Kotsireas
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  2. C. Koukouvinos
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  3. J. Seberry
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Correspondence to I. S. Kotsireas.

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Kotsireas, I.S., Koukouvinos, C. & Seberry, J. New weighing matrices constructed from two circulant submatrices. Optim Lett 6, 211–217 (2012). https://doi.org/10.1007/s11590-010-0264-0

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  • DOI: https://doi.org/10.1007/s11590-010-0264-0

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