Linked systems of symmetric group divisible designs of type II

2017/10/22 by Kharaghani, Hadi, Suda, Sho
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1710.07888

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.

Related

• Linked systems of symmetric group divisible designs
• Commutative association schemes obtained from twin prime powers, Fermat primes, Mersenne primes
• Linked systems of symmetric designs
• Linking systems of difference sets
• q-analogs of group divisible designs