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

Authors

  • Ivan Landjev
  • Assia Rousseva

DOI:

https://doi.org/10.55630/sjc.2008.2.197-206

Keywords:

Minihypers, Linear Codes over Finite Fields, Griesmer Bound, Finite Projective Geometry

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.

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Published

2008-07-24

Issue

Vol. 2 No. 2 (2008)

Section

Articles