Johnson scheme


In mathematics, the Johnson scheme, named after Selmer M. Johnson, is also known as the triangular association scheme. It consists of the set of all binary vectors X of length and weight n, such that. Two vectors x, yX are called ith associates if dist = 2i for i = 0, 1, ..., n. The eigenvalues are given by
where
and Ek is an Eberlein polynomial defined by