Constructions and families of nonbinary linear codes with covering radius 2
β Scribed by Davydov, A.A.
- Book ID
- 114541313
- Publisher
- IEEE
- Year
- 1999
- Tongue
- English
- Weight
- 373 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0018-9448
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π SIMILAR VOLUMES
A new quaternary linear code of length 19, codimension 5, and covering radius 2 is found in a computer search using tabu search, a local search heuristic. Starting from this code, which has some useful partitioning properties, di!erent lengthening constructions are applied to get an in"nite family o
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