Linked systems of symmetric group divisible designs of type II

Abstract

The linked systems of symmetric group divisible designs of type II is introduced, and several examples are obtained from affine resolvable designs and mutually UFS Latin squares. Furthermore, an equivalence between such symmetric group divisible designs and some association schemes with $5$-classes is provided.

arXiv comment19 pages. arXiv admin note: text overlap with arXiv:1609.05255