Geodesic
On some metrical properties of linear subspaces in Boolean cube
Prikladnaya Diskretnaya Matematika. Supplement, no. 8 (2015), pp. 13-15

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Metric complements of Boolean cube subsets are studied. General characteristics of linear subspaces' metric complements are given. Subspaces with special bases are studied. It is proven that completely regular (and therefore perfect and uniformly packed) codes are metrically regular.
Keywords: subspace, metrically regular set, metric complement, completely regular code. 
@article{PDMA_2015_8_a3,
     author = {A. K. Oblaukhov},
     title = {On some metrical properties of linear subspaces in {Boolean} cube},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {13--15},
     publisher = {mathdoc},
     number = {8},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2015_8_a3/}
}
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A. K. Oblaukhov. On some metrical properties of linear subspaces in Boolean cube. Prikladnaya Diskretnaya Matematika. Supplement, no. 8 (2015), pp. 13-15. http://geodesic.mathdoc.fr/item/PDMA_2015_8_a3/