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On the least covering radius of binary linear codes with small lengths

✍ Scribed by Baicheva, T.; Vavrek, V.


Book ID
114637068
Publisher
IEEE
Year
2003
Tongue
English
Weight
236 KB
Volume
49
Category
Article
ISSN
0018-9448

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On the covering radius of cyclic linear
✍ Tor Helleseth πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 781 KB

The problem of finding the covering radius and minimum distance of algebraic and arithmetic codes is shown to be related to Waring's problem i n a finite field and to the theory of cyclotomic numbers. The methods devel oped l ead to new results for the covering radius of certain f-errorcorrecting BC