Primitive Commutative Association Schemes with a Non-symmetric Relation of Valency 3

@article{Hirasaka2000PrimitiveCA,
  title={Primitive Commutative Association Schemes with a Non-symmetric Relation of Valency 3},
  author={Mitsugu Hirasaka},
  journal={J. Comb. Theory, Ser. A},
  year={2000},
  volume={90},
  pages={27-48}
}
Let (X, {Ri}0?i?d) be a primitive commutative association scheme. If there is a non-symmetric relation Ri with valency 3, then the cardinality of X is equal to either p or p2 where p is an odd prime. Moreover, if |X|=p then (X, {Ri}0?i?d) is isomorphic to a cyclotomic scheme. 

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