✦ LIBER ✦
On partitions of the q-ary Hamming space into few spheres
✍ Scribed by Andreas Klein; Markus Wessler
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 165 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1063-8539
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✦ Synopsis
Abstract
In this paper, we present a generalization of a result due to Hollmann, Körner, and Litsyn [9]. They prove that each partition of the n‐dimensional binary Hamming space into spheres consists of either one or two or at least n + 2 spheres. We prove a q‐ary version of that gap theorem and consider the problem of the next gaps. © 2005 Wiley Periodicals, Inc. J Combin Designs 14: 183–201, 2006