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Distribution invariants of association schemes. (English) Zbl 0676.05026

Numerical mathematics and computing, 17th Manitoba Conf., Winnipeg Can. 1987, Congr. Numerantium 61, 121-131 (1988).
[For the entire collection see Zbl 0655.00009.]
From the introduction: “The notion of distribution invariants was first introduced by T. Bier [Linear Algebra Appl. 57, 105-113 (1984; Zbl 0529.05011)] while attempting to answer certain questions in the algebra of real numbers. Later T. Bier and P. Delsarte generalized the definition of distribution invariants to any symmetric association scheme and also derived certain lower and upper bounds in terms of T-designs of the association scheme. This paper is mainly concerned with calculating the first distribution invariants of the Johnson scheme, the Hamming scheme and the q-analogues of them.”
Reviewer: K.Burian

MSC:

05B30 Other designs, configurations