Abstract
It is known that the entries of the character table (the first eigenmatrix) P of the Hamming association scheme H( d, q) are expressed by using the Krawtchouk polynomials. In this paper we show that there exist six diagonal matrices T that satisfy ( PT) 3 = q 3 d/2 I. This implies that the matrix S of the fusion algebra at algebraic level obtained from the Hamming association scheme H( d, q) satisfies the modular invariance property, namely ( ST) 3 = S 2 = I, for the diagonal matrices T.
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