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In this paper, the authors investigate beamforming approaches for multiple access secrecy channels. This paper investigates the equivalency between beamforming weight solutions under a fixed sum transmit power constraint and those under a fixed secrecy rate when multiple eavesdroppers are available. They propose an advantageous semidefinite-programming based beamforming solution for multiple eavesdroppers in multiple-access wire-tap channels. To obtain perfect communication secrecy, it is necessary to have the conditional probability of the cryptogram given a message independent of the actual transmitted message.
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