Design theory
Some non-isomorphic (4t + 4, 8t + 6, 4t + 3, 2t + 2, 2t + 1)-BIBD's
Discrete Mathematics
Balanced Incomplete Block Designs with Block Size 7
Designs, Codes and Cryptography
Combinatorial theory (2nd ed.)
Combinatorial theory (2nd ed.)
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We describe how a BIBD construction problem was solved using a Balanced Ternary Design. We explore how this construction can be improved, and how and what balanced n-ary designs can be used in this construction. We settle several open existence cases for BTDs (including both suitable and unsuitable designs for our construction), and provide a number of suitable BnDs.