On an infinite family of generalized PBIBDs

On an infinite family of generalized PBIBDs

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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Bibliographische Detailangaben
1. Verfasser: Kalmanovich, Daniel
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Combinatorics
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Zusammenfassung: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 $4$.
DOI:10.48550/arxiv.2110.01847