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Covering six space with spheres

✍ Scribed by A.C Woods

Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
884 KB
Volume
4
Category
Article
ISSN
0022-314X

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πŸ“œ SIMILAR VOLUMES

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We give a non-constructive proof ot the existence of good coverings of binary and non binary Hamming spaces by spheres centered on a subspace (linear codes). The results hold for tiles other than spheres.

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We show that if the collection of all binary vectors of length n is partitioned into k spheres, then either k 2 or k n+2. Moreover, such partitions with k=n+2 are essentially unique. ## 1997 Academic Press Recently there has been some interest in the combinatorics of the geometry of the Hamming sp

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It is shown that the shadow of a Sperner family can cover 10 percent of the Boolean algebra. Whether this can be improved to (100 -o(l))% remains open. 1 a91 < c( J2) -=I C' 5 (l-1) holds for every Sperner family 97 This was disproved by Kospanov [8] who