Evaluation of the Asymptotics of the Summarized Capacity of an $M$-Frequency $T$-User Noiseless Multiple-Access Channel

The best known estimates for the asymptotics of the summarized capacity of an $A$-channel are given. It is shown that the uniform input distribution is asymptotically optimal for a unique value of the parameter $\lambda$ ($T=\lambda M$, $0<\lambda<\infty$) namely, $\lambda=\ln 2$, and is not such in all other cases.