Energy bounds for codes and designs in Hamming spaces

Abstract

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.

25 pages

References in corpus (2)

• Universal upper and lower bounds on energy of spherical designs
• Universal lower bounds for potential energy of spherical codes

Cited by in corpus (1)

• On spherical codes with inner products in a prescribed interval