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Tight Packings of Hamming Spheres

✍ Scribed by Emanuela Fachini; János Körner

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
133 KB
Volume
76
Category
Article
ISSN
0097-3165

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✦ Synopsis

It is proved that for no n can the Hamming space [0, 1] n be partitioned into three Hamming spheres of any, not necessarily equal radii. This fact is remarkable, since for every k{3 there exist values of n for which the n-dimensional Hamming space can be partitioned into k spheres.

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