Journal article

Extremality for Gallager's Reliability Function E-0

We describe certain extremalities for Gallager's E-0 function evaluated under the uniform input distribution over the class of binary input discrete memoryless channels; The results characterize the extremality of the E-0(rho) curves of the binary erasure channel and the binary symmetric channel among all the E-0(rho) curves that can be generated by the class of binary discrete memoryless channels whose E-0(rho) curves pass through a given point (rho(0), e(0)), for some rho(0) > -1.


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