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NBIBDs

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From multiplicative d.h. subgroups ▶ From additive d.h. subgroups
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Theorems (2,6)NBIBDs (3,6)NBIBDs Small NBIBDs INBIBDs
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Nested 3-Designs ▶
Overview
v=8 v=12 v=16 v=18 v=20 v=21 v=22
Blocks of 9 and 3 Blocks of 15 and 3 Blocks of 15 and 5 Blocks of 21 and 3 Blocks of 21 and 7 Applet to get blocks
Construction Example Table of solutions

NBIBDs from additive subgroups of d.h. groups

  • (27,39,117,13,9,3,4,1)
  • (343,1197,8379,171,49,7,24,3)
  • (1331,7315,80465,665,121,11,60,5)
  • (243,3267,9801,121,9,3,4,1)
  • (243,1089,9801,121,27,3,13,1)
  • (243,1089,3267,121,27,9,13,4)
  • (2187,265599,796797,1093,9,3,4,1)
  • (2187,88533,796797,1093,27,3,13,1)
  • (2187,88533,265599,1093,27,9,13,4)