Uniform distributed source coding for the multiple access wiretap channel

We study the transmission of public and secret messages over the l-input multiple-access wiretap channel with deterministic encoders. Specifically, we assume that no additional source of randomness is available at the encoders and that public messages may be non-uniform and correlated. We develop a coding scheme that achieves information-theoretic security by combining existing constructions for wiretap codes with a distributed source code with nearly independent and nearly uniform encoder outputs.