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This work constructs a discrete random variable that, when conditioned upon,ensures information stability of quasi-images. Using this construction, a newmethodology is derived to obtain information theoretic necessary conditionsdirectly from operational requirements. In particular, this methodology is usedto derive new necessary conditions for keyed authentication over discretememoryless channels and to establish the capacity region of the wiretapchannel, subject to finite leakage and finite error, under two differentsecrecy metrics. These examples establish the usefulness of the proposedmethodology.

Inducing information stability and applications thereof to obtaining  information theoretic necessary conditions directly from operational  requirements