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Strong secrecy communication over a discrete memoryless state-dependentmultiple access channel (SD-MAC) with an external eavesdropper is investigated.The channel is governed by discrete memoryless and i.i.d. channel states andthe channel state information (CSI) is revealed to the encoders in a causalmanner. An inner bound of the capacity is provided. To establish the innerbound, we investigate coding schemes incorporating wiretap coding and secretkey agreement between the sender and the legitimate receiver. Two kinds ofblock Markov coding schemes are studied. The first one uses backward decodingand Wyner-Ziv coding and the secret key is constructed from a lossyreproduction of the CSI. The other one is an extended version of the existingcoding scheme for point-to-point wiretap channels with causal CSI. We furtherinvestigate some capacity-achieving cases for state-dependent multiple accesswiretap channels (SD-MAWCs) with degraded message sets. It turns out that thetwo coding schemes are both optimal in these cases.

On Strong Secrecy for Multiple Access Channel with States and Causal CSI