Mean Codeword Lengths and Their Correspondence with Entropy Measures

The objective of the present communication is to develop new genuine exponentiated mean codeword lengths and to study deeply the problem of correspondence between well known measures of entropy and mean codeword lengths. With the help of some standard measures of entropy, we have illustrated such a correspondence. In literature, we usually come across many inequalities which are frequently used in information theory. Keeping this idea in mind, we have developed such inequalities via coding theory approach. Keywords—Codeword, Code alphabet, Uniquely decipherable code, Mean codeword length, Uncertainty, Noiseless channel