A new class of codes meeting the Griesmer bound
β Scribed by Helleseth, T.; van Tilborg, H.
- Book ID
- 114635101
- Publisher
- IEEE
- Year
- 1981
- Tongue
- English
- Weight
- 1020 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0018-9448
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π SIMILAR VOLUMES
We investigate codes meeting the Griesmer bound. The main theorem of this article is the generalization of the nonexistence theorem of Maruta (Des. Codes Cryptography 12 (1997) 83-87) to a larger class of codes.
## Helleseth, T., Projective codes meeting the Griesmer bound, Discrete Mathematics 106/107 (1992) 265-271. We present a brief survey of projective codes meeting the Griesmer bound. Methods for constructing large families of codes as well as sporadic codes meeting the bound are given. Current res
We prove that if a linear code over GF( p), p a prime, meets the Griesmer bound, then if p e divides the minimum weight, p e divides all word weights. We present some illustrative applications of this result.