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Exact(14)
We establish the common message secrecy capacity and sum secrecy capacity of this channel.
The common message secrecy capacity is the supremum of all achievable secrecy rates.
The common message secrecy capacity for a special class of parallel multireceiver wiretap channels was studied in [8].
Corollary 4. The common message secrecy capacity of the parallel degraded multireceiver wiretap channel is given by (19).
Similar to [8], our emphasis will be on the common message secrecy capacity and the sum secrecy capacity.
For the first scenario, the work in [8] finds the common message secrecy capacity for this subclass.
Similar(46)
However, if we consider the scenario where each user receives only an independent message, that is, there is no common message, then the secrecy capacity region may be found, because the capacity region of the corresponding broadcast channel without secrecy constraints can be established [27], although there is no explicit expression for it in literature.
Therefore, the relay knows everything the destination knows regarding the confidential message, and the secrecy capacity is zero.
Next, we consider the scenario where the transmitter does not send a common message, and find the secrecy capacity region.
In particular, in Section 3.1, we focused on the transmission of a common message, whereas in Section 3.2, we focused on the sum secrecy capacity when only independent messages are transmitted to all users.
For the second scenario, where each user wishes to receive an independent message, [8] finds the sum secrecy capacity for this subclass of channels.
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