Perfect Codes for Uniform Chains Poset Metrics

Details Perfect Codes for Uniform Chains Poset Metrics Perfect Codes for Uniform Chains Poset Metrics

2011-07-28

arxiv.org/abs/1107.5708v2

Computer Science

Information Theory

Scientific paper

The class of poset metrics is very large and contains some interesting
families of metrics. A family of metrics, based on posets which are formed from
disjoint chains which have the same size, is examined. A necessary and
sufficient condition, for the existence of perfect single-error-correcting
codes for such poset metrics, is proved.

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