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arXiv · 1510.03406

Energy bounds for codes and designs in Hamming spaces

Peter G. Boyvalenkov·Peter D. Dragnev·Douglas P. Hardin·Edward B. Saff·Maya M. Stoyanova
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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.

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Peter G. Boyvalenkov, Peter D. Dragnev, Douglas P. Hardin, Edward B. Saff, Maya M. Stoyanova. 2016-10-16. Energy bounds for codes and designs in Hamming spaces. https://arxiv.org/abs/1510.03406

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