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arXiv 2011-07-28 0 views

Perfect Codes for Uniform Chains Poset Metrics

Etzion, Tuvi

Original · EN

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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