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
β¦ LIBER β¦
Packing radius, covering radius, and dual distance
β Scribed by Sole, P.
- Book ID
- 114540135
- Publisher
- IEEE
- Year
- 1995
- Tongue
- English
- Weight
- 541 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0018-9448
No coin nor oath required. For personal study only.
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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 .