Title

Energy bounds for codes and designs in Hamming spaces

Document Type

Article

Publication Date

Fall 10-14-2016

Publication Source

Designs, Codes, and Cryptography

Inclusive pages

1-23

DOI

10.1007/s10623-016-0286-4

Publisher

Springer Netherlands

Place of Publication

Springer First Online

Peer Reviewed

yes

Abstract

We obtain universal bounds on the energy of codes and designs in Hamming spaces. Our bounds hold for a large class of potential functions, allow a unified treatment, and can be viewed as a generalization of the Levenshtein bounds for maximal codes.

Keywords

Hamming space, Potential functions, Energy of a code, Error-correcting codes, t-designs

Disciplines

Analysis | Discrete Mathematics and Combinatorics | Mathematics

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