×

zbMATH — the first resource for mathematics

On mobile sets in the binary hypercube. (Russian) Zbl 1249.94059
Summary: 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 \(2\cdot 6^k\) that cannot be split into mobile sets of smaller cardinalities or represented as a natural extension of a mobile set of smaller dimension.

MSC:
94B20 Burst-correcting codes
PDF BibTeX XML Cite