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The converse for the discrete memoryless multiple access channel is generalized and is used to derive strong hounds on the total capacity (sum of the rates of all the senders) of an m-user Gaussian multiple access channel in terms of the input covariance matrix. These hounds are used to show that the total capacity of the channel with feedback is less than twice the total capacity without feedback. The converse for the general multiple access channel is also used to show that for any m-userdoi:10.1109/tit.1987.1057341 fatcat:hoola3fpafhxdizwjypwtgqlfe