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1 Quantification of Secrecy in Partially Observed ...

1 Quantification of Secrecy in Partially ObservedStochastic discrete Event SystemsJun Chen ,Member, IEEE, Mariam Ibrahim and Ratnesh Kumar,Fellow, IEEEA bstract While cryptography is used to protect the content ofinformation ( , a message) by making it undecipherable, behav-iors (as opposed to information) may not be encrypted, and mayonly be protected by Partially or fully hiding through creationof ambiguity by providing covers that generate indistinguishableobservations from secrets. Having a cover together with partialobservability does cause ambiguity about the system behaviorsto be kept secret, yet some information about secrets may stillbe leaked due to statistical difference between the occurrenceprobabilities of the secrets and their covers. In this paper, wepropose a Jensen-Shannon divergence (JSD) based measure toquantify Secrecy loss in systems modeled as Partially -observedstochastic discrete event systems ( stochastic PODES), whichquantifies the statistical difference between two distributions, oneover the observations generated by secret and the other overthose generated by cover.

1 Quantification of Secrecy in Partially Observed Stochastic Discrete Event Systems Jun Chen , Member, IEEE, Mariam Ibrahim and Ratnesh Kumar, Fellow, IEEE

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  System, Events, Discrete, Observed, Stochastic, Partially, Partially observed stochastic discrete event systems

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