Orthogonal arrays and ordered designs |
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| Institution: | 1. Department of Medical Sciences, Surgery and Neurosciences, Respiratory Disease and Lung Transplant Unit, Siena University, Siena, Italy;2. Unit of Diagnostic Imaging, Department of Medical, Surgical and Neuro Sciences and of Radiological Sciences, University of Siena, Azienda Ospedaliero-Universitaria Senese, Siena, Italy;1. Deutsches GeoForschungsZentrum - GFZ, Section “Geophysical Deep Sounding”, Telegrafenberg, 14473 Potsdam, Germany;2. Institute of Geophysics, University of Hamburg, Bundesstraße 55, 20146 Hamburg, Germany;3. Department of Earth Sciences, Memorial University of Newfoundland, St. John''s, NL, A1B 3X5, Canada;4. Geological Survey Department, Lefkosia (Nicosia), Republic of Cyprus;5. Department of Geophysics, Bo?aziçi University, Istanbul, Turkey;6. Department of Oceanography, Dalhousie University, Halifax, NS, B3H 4J1, Canada;7. University of Potsdam, Institute of Earth and Environmental Science, Golm, 14478 Potsdam, Germany |
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| Abstract: | In the first part of this paper, we give a short and direct construction of signed orthogonal array SOA(λ,t,k,v), for any set of parameters λ,t,k,v,t ? k. We also construct a specific basis of the Z-module generated by any SOA(0,t,k,v), for any t,k,v,t ? k. We will then construct an inite family of large set of disjoint ordered designs by applying G.B. Khosrovshahi and S. Ajoodani-Namini's method to Luc. Teirlinck's construction. |
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