Geodesic
On mobile sets in the binary hypercube
Diskretnyj analiz i issledovanie operacij, Tome 15 (2008) no. 3, pp. 11-21

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If two distance-3 codes have the same neighborhood, then each of them is called a mobile set. In the $(4k+3)$-dimensional binary hypercube there exists a mobile set of cardinality $2\cdot6^k$ that cannot be split into mobile sets of smaller cardinalities or represented as a natural extension of a mobile set of smaller dimension. Bibl. 10.
Keywords: 1-perfect code, Bollean cube, $i$-component.
Mots-clés : mobile set 
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Yu. L. Vasil'ev; S. V. Avgustinovich; D. S. Krotov. On mobile sets in the binary hypercube. Diskretnyj analiz i issledovanie operacij, Tome 15 (2008) no. 3, pp. 11-21. http://geodesic.mathdoc.fr/item/DA_2008_15_3_a1/