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Linked systems of symmetric group divisible designs
Authors:Hadi?Kharaghani,Sho?Suda  author-information"  >  author-information__contact u-icon-before"  >  mailto:suda@auecc.aichi-edu.ac.jp"   title="  suda@auecc.aichi-edu.ac.jp"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author  author-information__orcid u-icon-before icon--orcid u-icon-no-repeat"  >  http://orcid.org/---"   itemprop="  url"   title="  View OrcID profile"   target="  _blank"   rel="  noopener"   data-track="  click"   data-track-action="  OrcID"   data-track-label="  "  >View author&#  s OrcID profile
Affiliation:1.Department of Mathematics and Computer Science,University of Lethbridge,Lethbridge,Canada;2.Department of Mathematics Education,Aichi University of Education,Kariya,Japan
Abstract:We introduce the concept of linked systems of symmetric group divisible designs. The connection with association schemes is established, and as a consequence we obtain an upper bound on the number of symmetric group divisible designs which are linked. Several examples of linked systems of symmetric group divisible designs are provided.
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