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Tiling Hamming Space with Few Spheres

Journal of Combinatorial Theory. Series A (1997) 80(2) 388-393
DOI: 10.1006/jcta.1997.2816
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Abstract

We show that if the collection of all binary vectors of lengthnis partitioned intokspheres, then eitherk≤2 ork≥n+2. Moreover, such partitions withk=n+2 are essentially unique. © 1997 Academic Press.

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Hollmann, H. D. L., Körner, J., & Litsyn, S. (1997). Tiling Hamming Space with Few Spheres. Journal of Combinatorial Theory. Series A, 80(2), 388–393. https://doi.org/10.1006/jcta.1997.2816

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