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Linked systems of symmetric group divisible designs of type II
Hadi Kharaghani, Sho Suda
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. F…
On a class of quaternary complex Hadamard matrices
Kai Fender, Hadi Kharaghani, Sho Suda
We introduce a class of regular unit Hadamard matrices whose entries consist of two complex numbers and their conjugates for a total of four complex numbers. We then show that thes…
Commutative association schemes obtained from twin prime powers, Fermat primes, Mersenne primes
Hadi Kharaghani, Sho Suda
For prime powers and where , an affine resolvable design from and Latin squares from yield a…
Non-commutative association schemes and their fusion association schemes
Hadi Kharaghani, Sho Suda
We give a sufficient condition for a non-commutative association scheme to have a fusion association scheme, and construct non-commutative association schemes from symmetric balanc…
Strongly regular decompositions and symmetric association schemes of a power of two
Hadi Kharaghani, Sara Sasani, Sho Suda
For any positive integer , the complete graph on vertices is decomposed into commuting strongly regular graphs, which give rise to a symmetric associatio…