The Nonexistence of some Griesmer Arcs in PG(4, 5)

Landjev, Ivan, and Rousseva, Assia. "The Nonexistence of some Griesmer Arcs in PG(4, 5)." Serdica Journal of Computing 2.2 (2008): 197-206. <http://eudml.org/doc/11462>.

@article{Landjev2008,
abstract = {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.},
author = {Landjev, Ivan, Rousseva, Assia},
journal = {Serdica Journal of Computing},
keywords = {Minihypers; Linear Codes over Finite Fields; Griesmer Bound; Finite Projective Geometry},
language = {eng},
number = {2},
pages = {197-206},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {The Nonexistence of some Griesmer Arcs in PG(4, 5)},
url = {http://eudml.org/doc/11462},
volume = {2},
year = {2008},
}

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
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 2
IS - 2
SP - 197
EP - 206
AB - 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.
LA - eng
KW - Minihypers; Linear Codes over Finite Fields; Griesmer Bound; Finite Projective Geometry
UR - http://eudml.org/doc/11462
ER -