 Delsarte–Goethals code

The Delsarte-Goethals code is a type of error-correcting code that arises in coding theory and is closely associated with spherical codes and combinatorial designs. Specifically, it is a family of linear codes that are derived from certain geometric constructions in Euclidean space. The codes can be characterized using the concept of spherical designs and are particularly notable for achieving optimal packing of points on the surface of a sphere.