Secure identification over discrete-time Poisson wiretap channels

Determine whether information-theoretically secure identification is achievable over discrete-time Poisson wiretap channels by establishing the existence of identification codes that satisfy security against an eavesdropper for the memoryless Poisson wiretap model in which the legitimate receiver and eavesdropper observe Poisson counts with means x+λ_B and x+λ_E, respectively.

Background

The paper studies secure identification for molecular communication systems and reviews known results for secure identification over Gaussian wiretap channels, where the secure identification capacity equals the main-channel capacity when the secrecy capacity is positive. It also recalls secrecy capacity expressions for degraded discrete-time Poisson wiretap channels.

Within this context, the paper introduces the discrete-time Poisson wiretap channel model relevant to intra-body molecular communication and explicitly points out that it is currently unknown whether secure identification is achievable under this Poisson wiretap setting, motivating further investigation of identification code constructions and feasibility.