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Under the assumption of perfect channel state information at the transmitters(CSIT), it is known that structured codes offer significant advantages forsecure communication in an interference network, e.g., structured jammingsignals based on lattice codes may allow a receiver to decode the sum of thejamming signal and the signal being jammed, even though they cannot beseparately resolved due to secrecy constraints, subtract the aggregate jammedsignal, and then proceed to decode desired codewords at lower power levels. Towhat extent are such benefits of structured codes fundamentally limited byuncertainty in CSIT? To answer this question, we explore what is perhaps thesimplest setting where the question presents itself -- a Z interference channelwith secure communication. Using sum-set inequalities based on Aligned Imagesbounds we prove that the GDoF benefits of structured codes are lost completelyunder finite precision CSIT. The secure GDoF region of the Z interferencechannel is obtained as a byproduct of the analysis.

Secure GDoF of the Z-channel with Finite Precision CSIT: How Robust are Structured Codes?