𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the non-existence of linear codes attaining the Griesmer bound

✍ Scribed by Tatsuya Maruta

Publisher
Springer
Year
1996
Tongue
English
Weight
359 KB
Volume
60
Category
Article
ISSN
0046-5755

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On codes meeting the Griesmer bound
On codes meeting the Griesmer bound
✍ Andreas Klein πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 209 KB

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.

On the nonexistence of some quaternary l
On the nonexistence of some quaternary linear codes meeting the Griesmer bound
✍ Noboru Hamada πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 176 KB

It is unknown whether or not there exists a quaternary linear code with parameters [293, 5, 219], [289, 5, 216] or [277, 5, 207]. The purpose of this paper is to prove the nonexistence of quaternary linear codes with parameters [

Divisibility of Codes Meeting the Griesm
Divisibility of Codes Meeting the Griesmer Bound
✍ Harold N. Ward πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 287 KB

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.