Some coding theorem on generalized Havrda-Charvat and Tsallis's entropy

Abstract

A new measure $L_{\alpha }^{\beta } $, called average code word length of order $\alpha $ and type $\beta $ has been defined and its relationship with a result of generalized Havrda-Charvat and Tsallis's entropy has been discussed. Using $L_{\alpha }^{\beta } $,some coding theorem for discrete noiseless channel has been proved.