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arxiv: 1008.1970 · v1 · pith:YU6TD3DYnew · submitted 2010-08-11 · 💻 cs.IT · math.IT

The Shannon Cipher System with a Guessing Wiretapper: General Sources

classification 💻 cs.IT math.IT
keywords exponentssourcesgeneralguessingboundscipherhandmoments
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The Shannon cipher system is studied in the context of general sources using a notion of computational secrecy introduced by Merhav & Arikan. Bounds are derived on limiting exponents of guessing moments for general sources. The bounds are shown to be tight for iid, Markov, and unifilar sources, thus recovering some known results. A close relationship between error exponents and correct decoding exponents for fixed rate source compression on the one hand and exponents for guessing moments on the other hand is established.

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