English

On an infinite family of generalized PBIBDs

Combinatorics 2021-11-02 v2

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 qq congruent to 11 modulo 44.

Keywords

Cite

@article{arxiv.2110.01847,
  title  = {On an infinite family of generalized PBIBDs},
  author = {Daniel Kalmanovich},
  journal= {arXiv preprint arXiv:2110.01847},
  year   = {2021}
}

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