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The Gaussian wiretap channel with rate-limited help, available at thelegitimate receiver (Rx) or/and transmitter (Tx), is studied under variouschannel configurations (degraded, reversely degraded and non-degraded). In thecase of Rx help and all channel configurations, the rate-limited help resultsin a secrecy capacity boost equal to the help rate irrespective of whether thehelp is secure or not, so that the secrecy of help does not provide anycapacity increase. The secrecy capacity is positive for the reversely-degradedchannel (where the no-help secrecy capacity is zero) and no wiretap coding isneeded to achieve it. More noise at the legitimate receiver can sometimesresult in higher secrecy capacity. The secrecy capacity with Rx help is notincreased even if the helper is aware of the message being transmitted. Thesame secrecy capacity boost also holds if non-secure help is available to thetransmitter (encoder), in addition to or instead of the same Rx help, so that,in the case of the joint Tx/Rx help, one help link can be omitted withoutaffecting the capacity. If Rx/Tx help links are independent of each other, thenthe boost in the secrecy capacity is the sum of help rates and no link can beomitted without a loss in the capacity. Non-singular correlation of thereceiver and eavesdropper noises does not affect the secrecy capacity andnon-causal help does not bring in any capacity increase over the causal one.

The Secrecy Capacity of The Gaussian Wiretap Channel with Rate-Limited Help