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An upper bound on the covering radius as a function of the dual distance

✍ Scribed by Tietavainen, A.A.

Book ID
114540695
Publisher
IEEE
Year
1990
Tongue
English
Weight
288 KB
Volume
36
Category
Article
ISSN
0018-9448

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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 .

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We present a uniform approach towards deriving upper bounds on the covering radius of a code as a function of its dual distance structure and its cardinality. We show that the bounds obtained previously by Delsarte, Helleseth et al.. TietGiinen, resp. Solt-and Stokes follow as special cases. Moreove