The Delsarte–Goethals code is a type of error-correcting code.
The concept was introduced by mathematicians Ph. Delsarte and J.-M. Goethals in their published paper.
A new proof of the properties of the Delsarte–Goethals code was published in 1970.
When r = 0, we have DG(m,r) = K(m) and when r = m/2 − 1 we have DG(m,r) = RM(2,m).
For r = m/2 − 1 the Delsarte–Goethals code has strength 7 and is therefore an orthogonal array OA(.