Extremes of Error Exponents
Albert Guillén i Fàbregas, Ingmar Land, Alfonso García Martínez · IEEE Transactions on Information Theory · 2012
This paper determines the range of feasible values of standard error exponents for binary-input memoryless symmetric channels of fixed capacity$C$and shows that extremes are attained by the binary symmetric and the binary erasure channel. The proof technique also provides analogous extremes for other quantities related to Gallager's$E_{0}$function, such as the cutoff rate, the Bhattacharyya parameter, and the channel dispersion.