Commutative association schemes obtained from twin prime powers, Fermat primes, Mersenne primes

摘要

For prime powers q and q + epsilon where epsilon is an element of {1,2}, an affine resolvable design from F-q and Latin squares from Fq+epsilon, yield a set of symmetric designs if epsilon = 2 and a set of symmetric group divisible designs if epsilon = 1. We show that these designs derive commutative association schemes, and determine their eigenmatrices. (C) 2019 Elsevier Inc. All rights reserved.