English

Non-existence of two types of partial difference sets

Combinatorics 2017-03-02 v1

Abstract

In this note we prove the non-existence of two types of partial difference sets in Abelian groups of order 216. This finalizes the classification of parameters for which a partial difference set of size at most 100 exists in an Abelian group.

Cite

@article{arxiv.1703.00345,
  title  = {Non-existence of two types of partial difference sets},
  author = {Stefaan De Winter and Eric Neibert and Zeying Wang},
  journal= {arXiv preprint arXiv:1703.00345},
  year   = {2017}
}
R2 v1 2026-06-22T18:32:23.062Z