Wikipedia / Hamming scheme
Wikipedia / Hamming scheme
The Hamming scheme, named after Richard Hamming, is also known as the hyper-cubic association scheme, and it is the most important example for coding theory.-th associates if they are Hamming distance apart.
Recall that an association scheme is visualized as a complete graph is the valency of the relation in a Hamming scheme are given by
The matrices in the Bose-Mesner algebra matrices
See also
References