On an infinite family of generalized PBIBDs

2021/10/05 by Kalmanovich, Daniel
#05B05 #05B30 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2110.01847

Abstract

We consider a generalization of the notion of partially balanced incomplete block designs (PBIBDs), by relaxing the requirement that the underlying association scheme be commutative. An infinite family of such generalizations is constructed, one for each prime power q congruent to 1 modulo 4.

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