Reliability and Secrecy Functions of the Wiretap Channel under Cost Constraint

Understand

The wiretap channel has been devised and studied first by Wyner, and subsequently extended to the case with non-degraded general wiretap channels by Csiszar and Korner.

• Focusing mainly on the Poisson wiretap channel with cost constraint, we newly introduce the notion of reliability and security functions as a fundamental tool to analyze and/or design the performance of an efficient wiretap channel system.
• Compact formulae for those functions are explicitly given for stationary memoryless wiretap channels.
• It is also demonstrated that, based on such a pair of reliability and security functions, we can control the tradeoff between reliability and security (usually conflicting), both with exponentially decreasing rates as block length n becomes large.