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The Shannon Cipher System with a Guessing Wiretapper: General Sources

Information Theory 2010-08-12 v1 math.IT

Abstract

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.

Keywords

Cite

@article{arxiv.1008.1970,
  title  = {The Shannon Cipher System with a Guessing Wiretapper: General Sources},
  author = {Manjesh Kumar Hanawal and Rajesh Sundaresan},
  journal= {arXiv preprint arXiv:1008.1970},
  year   = {2010}
}

Comments

24 pages, Submitted to IEEE Transactions on Information Theory

R2 v1 2026-06-21T15:59:38.225Z