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 \...

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Veröffentlicht in:arXiv.org 2021-11
1. Verfasser: Kalmanovich, Daniel
Format: Artikel
Sprache:eng
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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 \(4\).
ISSN:2331-8422