Geodesic
The Nonexistence of some Griesmer Arcs in PG(4, 5)
Serdica Journal of Computing, Tome 2 (2008) no. 2, pp. 197-206.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

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.
Keywords: Minihypers, Linear Codes over Finite Fields, Griesmer Bound, Finite Projective Geometry 
@article{SJC_2008_2_2_a6,
     author = {Landjev, Ivan and Rousseva, Assia},
     title = {The {Nonexistence} of some {Griesmer} {Arcs} in {PG(4,} 5)},
     journal = {Serdica Journal of Computing},
     pages = {197--206},
     publisher = {mathdoc},
     volume = {2},
     number = {2},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SJC_2008_2_2_a6/}
}
TY  - JOUR
AU  - Landjev, Ivan
AU  - Rousseva, Assia
TI  - The Nonexistence of some Griesmer Arcs in PG(4, 5)
JO  - Serdica Journal of Computing
PY  - 2008
SP  - 197
EP  - 206
VL  - 2
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJC_2008_2_2_a6/
LA  - en
ID  - SJC_2008_2_2_a6
ER  - 
%0 Journal Article
%A Landjev, Ivan
%A Rousseva, Assia
%T The Nonexistence of some Griesmer Arcs in PG(4, 5)
%J Serdica Journal of Computing
%D 2008
%P 197-206
%V 2
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJC_2008_2_2_a6/
%G en
%F SJC_2008_2_2_a6
Landjev, Ivan; Rousseva, Assia. The Nonexistence of some Griesmer Arcs in PG(4, 5). Serdica Journal of Computing, Tome 2 (2008) no. 2, pp. 197-206. http://geodesic.mathdoc.fr/item/SJC_2008_2_2_a6/