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The generalized Poor-Verdu error lower bound for multihypothesis testing isrevisited. Its asymptotic expression is established in closed-form as itstilting parameter grows to infinity. It is also shown that the asymptoticgeneralized bound achieves the error exponent (or reliability function) of thememoryless binary symmetric channel at zero coding rates.

The Asymptotic Generalized Poor-Verdu Bound Achieves the BSC Error Exponent at Zero Rate