Error exponents for optimum decoding of the degraded broadcast channel using moments of type class enumerators

The analysis of random coding error exponents pertaining to optimal decoding in a degraded broadcast with degraded message sets is revisited. Instead of using Jensens inequality as well as some other inequalities in the derivation, we demonstrate that, after an initial step, an exponentially tight analysis can be carried out by assessing the relevant moments of a certain type class enumerator.

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