We obtain universal bounds on the energy of codes and for designs in Hamming spaces. Our bounds hold for a large class of potential functions, allow unified treatment, and can be viewed as a generalization of the Levenshtein bounds for maximal codes.
@article{arxiv.1510.03406,
title = {Energy bounds for codes and designs in Hamming spaces},
author = {Peter G. Boyvalenkov and Peter D. Dragnev and Douglas P. Hardin and Edward B. Saff and Maya M. Stoyanova},
journal= {arXiv preprint arXiv:1510.03406},
year = {2016}
}