Title :
The Shannon Cipher System With a Guessing Wiretapper: General Sources
Author :
Hanawal, Manjesh Kumar ; Sundaresan, Rajesh
fDate :
4/1/2011 12:00:00 AM
Abstract :
The Shannon cipher system is studied in the context of general sources using a notion of computational secrecy introduced by Merhav and Arikan. Bounds are derived on limiting exponents of guessing moments for general sources. The bounds are shown to be tight for i.i.d., 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 :
cryptography; decoding; source coding; Shannon cipher system; computational secrecy; correct decoding exponent; fixed rate source compression; guessing wiretapper; Decoding; Encoding; Encryption; Entropy; Markov processes; Upper bound; Cipher systems; correct decoding exponent; error exponent; fixed-rate source coding; information spectrum; key rate; large deviations; length function; secrecy; sources with memory;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2011.2110870