𝔖 Bobbio Scriptorium
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Packing radius, covering radius, and dual distance

✍ Scribed by Sole, P.


Book ID
114540135
Publisher
IEEE
Year
1995
Tongue
English
Weight
541 KB
Volume
41
Category
Article
ISSN
0018-9448

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✍ A. TietΓ€vΓ€inen πŸ“‚ Article πŸ“… 1991 πŸ› Springer 🌐 English βš– 502 KB

Recently a number of bounds have been obtaiaed for the covering radius of a code with given length and cardinality. Iu this paper we show that--perhaps surprisingly--the covering radius of a code depends heavily on its dual distance. We consider an arbitrary fimte Abelian group alphabet though in th

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We derive new upper bounds on the covering radius of a binary linear code as a function of its dual distance and dual-distance width . These bounds improve on the Delorme -Sole Β΄ -Stokes bounds , and in a certain interval for binary linear codes they are also better than Tieta Β¨ va Β¨ inen's bound .