Geodesic
On the covering radius of the linear codes generated by the affine geometries over~$\mathrm{GF}(4)$
Prikladnaâ diskretnaâ matematika, no. 4 (2014), pp. 72-77

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The covering radius for a code is defined to be a maximal distance between a space vector and the code. It is shown that the covering radius for a linear code generated by the affine geometry over $\mathrm{GF}(4)$ equals 4.
Keywords: linear codes, finite affine geometries, covering radius. 
@article{PDM_2014_4_a7,
     author = {M. E. Kovalenko},
     title = {On the covering radius of the linear codes generated by the affine geometries over~$\mathrm{GF}(4)$},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {72--77},
     publisher = {mathdoc},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2014_4_a7/}
}
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M. E. Kovalenko. On the covering radius of the linear codes generated by the affine geometries over~$\mathrm{GF}(4)$. Prikladnaâ diskretnaâ matematika, no. 4 (2014), pp. 72-77. http://geodesic.mathdoc.fr/item/PDM_2014_4_a7/