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math.CO2008★ 1 cited
On mobile sets in the binary hypercube
Yuriy Vasil'ev, Sergey Avgustinovich, Denis Krotov
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…
math.CO2007★ 11 cited
The poset metrics that allow binary codes of codimension m to be m-, (m-1)-, or (m-2)-perfect
Hyun Kwang Kim, Denis Krotov
A binary poset code of codimension M (of cardinality 2^{N-M}, where N is the code length) can correct maximum M errors. All possible poset metrics that allow codes of codimension M…