A Family of Group Divisible Designs of Block Size Four and Three Groups With l1=2 and l2=1 Using MOLS

نویسندگان

  • Devin Henson
  • Dinesh G. Sarvate
چکیده

We give a construction for a new family of Group Divisible Designs (6s+ 2, 3, 4; 1, 2) using Mutually Orthogonal Latin Squares for all positive integers s. Consequently, we have proved that the necessary conditions are sufficient for the existence of GDD’s of block size four with three groups, λ1=2 and λ2=1.

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عنوان ژورنال:
  • Ars Comb.

دوره 78  شماره 

صفحات  -

تاریخ انتشار 2006