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