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arxiv: 1309.4930 · v2 · pith:W4PRP2QLnew · submitted 2013-09-19 · 💻 cs.IT · math.IT

The Zero-Undetected-Error Capacity Approaches the Sperner Capacity

classification 💻 cs.IT math.IT
keywords capacityspernerzero-undetected-errorahlswedeapproachesboundboundedchannel
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Ahlswede, Cai, and Zhang proved that, in the noise-free limit, the zero-undetected-error capacity is lower bounded by the Sperner capacity of the channel graph, and they conjectured equality. Here we derive an upper bound that proves the conjecture.

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