The Nonexistence of some Griesmer Arcs in PG(4, 5)
| Data(s) |
18/09/2009
18/09/2009
2008
|
|---|---|
| Resumo |
In this paper, we prove the nonexistence of arcs with parameters (232, 48) and (233, 48) in PG(4,5). This rules out the existence of linear codes with parameters [232,5,184] and [233,5,185] over the field with five elements and improves two instances in the recent tables by Maruta, Shinohara and Kikui of optimal codes of dimension 5 over F5. |
| Identificador |
Serdica Journal of Computing, Vol. 2, No 2, (2008), 197p-206p 1312-6555 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Minihypers #Linear Codes over Finite Fields #Griesmer Bound #Finite Projective Geometry |
| Tipo |
Article |
