Math 2.0

Concept

Johnson scheme

Summary

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 ℓ and weight n, such that v=∣X∣=(ℓn)v=\left|X\right|=\binom{\ell}{n}. Two vectors x, y ∈ X are called ith associates if dist(x, y) = 2i for i = 0, 1, ..., n. The eigenvalues are given by

Further reading

  1. Wikipedia, page 22649423, revision 1169848354, Johnson scheme. adopted
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