Linked systems of symmetric group divisible designs

DOI10.1007/S10801-017-0777-ZzbMath1384.05182arXiv1609.05255OpenAlexW2962723369MaRDI QIDQ1745387

Hadi Kharaghani, Sho Suda

Publication date: 17 April 2018

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.05255

zbMATH Keywords

association schemegeneralized Hadamard matrixmutually orthogonal Latin squaresymmetric group divisible designmutually UFS Latin square

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Other designs, configurations (05B30) Orthogonal arrays, Latin squares, Room squares (05B15) Symmetric groups (20B30)

Related Items (5)

Balancedly splittable Hadamard matrices ⋮ Divisible design digraphs and association schemes ⋮ Commutative association schemes obtained from twin prime powers, Fermat primes, Mersenne primes ⋮ Linked systems of symmetric group divisible designs of type. II ⋮ Disjoint weighing matrices

Cites Work

• Imprimitive cometric association schemes: constructions and analysis
• On the equivalence between real mutually unbiased bases and a certain class of association schemes
• Symmetric group divisible designs with the dual property
• Three-class association schemes
• Rank 5 association schemes and triality
• Uniformity in association schemes and coherent configurations: cometric \(Q\)-antipodal schemes and linked systems
• Mutually unbiased bush-type Hadamard matrices and association schemes
• On groups with several doubly-transitive permutation representations
• Mutually Unbiased Biangular Vectors and Association Schemes
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