Multi-Party Secret Key Generation Over Underwater Acoustic Channels

Concerning the problem of how to extract a highly confidential key for an arbitrary number of legitimate nodes under the circumstances of multipath and Doppler effects in underwater acoustic channels, we propose a multi-party secret key generation scheme over underwater acoustic channels against active attacks. In the proposed scheme, the a order Renyi entropy with multipath and Doppler effects is accurately depicted, and the uncertainty of the source sequence from the legitimate nodes and the eavesdropping node is also obtained. On this basis, a multi-party secret key generation protocol against active attacks is designed using bilinear mapping, which does not depend on the length and randomness of the random seed. Our results demonstrate the security of the proposed scheme in the metrics of the key leakage rate and the probability of a successful active attack.