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

2017/09/24 by Hadi Kharaghani, Kharaghani, Hadi, Sho Suda +1
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1709.08150

openalex publication_date 2017/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For prime powers q and q+ε where ε∈\1,2\, an affine resolvable design from \mathbbF_q and Latin squares from \mathbbF_q+ε yield a set of symmetric designs if ε=2 and a set of symmetric group divisible designs if ε=1. We show that these designs derive commutative association schemes, and determine their eigenmatrices.

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