most citedThe poset metrics that allow binary codes of codimension m to be m-, (m-1)-, or (m-2)-perfect

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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…