Hamming Graph in Nomura Algebra

نویسندگان

  • Ada Chan
  • Akihiro Munemasa
چکیده

Let A be an association scheme on q ≥ 3 vertices. We show that the Bose-Mesner algebra of the generalized Hamming scheme H(n,A), for n ≥ 2, is not the Nomura algebra of a type II matrix. This result gives examples of formally self-dual Bose-Mesner algebras that are not the Nomura algebras of type II matrices.

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تاریخ انتشار 2010