On the covering radius of long binary BCH codes
✍ Scribed by A Tietäinen
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 98 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0166-218X
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📜 SIMILAR VOLUMES
We present lower and upper bounds on the covering radius of Reed-Muller codes, yielding asymptotical improvements on known results. The lower bound is simply the sphere covering one (not very new). The upper bound is derived from a thorough use of a lemma, the 'essence of Reed-Mullerity'. The idea
Honkla, I., All binary codes with covering radius one are subnormal, Discrete Mathematics 94 (1991) 229-232. We prove that if a binary code hat; covering radius one then it is subnormal.
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