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A Simple Derivation of the Refined SPB for the Constant Composition Codes

A judicious application of the Berry-Esseen theorem via the concepts of Augustin information and mean is demonstrated to be sufficient for deriving the sphere packing bound with a prefactor that is Omega(n(-0.5(1-E'sp(R,W,p)))) for the constant composition codes. The resulting non-asymptotic bounds have definite approximation error terms.