On secure communication with constrained randomization

In this paper, we investigate how constraints on the randomization in the encoding process affect the secrecy rates achievable over wiretap channels. In particular, we characterize the secrecy capacity with a rate-limited local source of randomness and a less capable eavesdropper's channel, which shows that limited rate incurs a secrecy rate penalty but does not preclude secrecy. We also show that secure communication is possible when randomizing with a non-uniform source of randomness, which suggests the possibility of designing robust coding schemes.