On the Structure of Linear and Cyclic Codes over a Finite Chain Ring
✍ Scribed by Graham H. Norton; Ana Sălăgean
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 152 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0938-1279
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📜 SIMILAR VOLUMES
We study the geometrical properties of the subgroups of the mutliplicative group of a "nite extension of a "nite "eld endowed with its vector space structure and we show that in some cases the associated projective space has a natural group structure. We construct some cyclic codes related to Reed}M
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