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On relations between covering radius and dual distance

✍ Scribed by Ashikhmin, A.E.; Honkala, I.S.; Laibonen, T.K.; Litsyn, S.N.


Book ID
114541329
Publisher
IEEE
Year
1999
Tongue
English
Weight
286 KB
Volume
45
Category
Article
ISSN
0018-9448

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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 .