Optimum '1'-ended binary prefix codes

Thomas Berger, Raymond W. Yeung · IEEE Transactions on Information Theory · 1990

The problem of finding a binary prefix code of minimum average codeword length for a given finite probability distribution subject to the requirement that each codeword must end with a 1 is considered. Lower and upper bounds to the performance of the optimum code are derived; the lower bound is tight for certain probability distributions. An algorithm that generates an optimum code for any given distribution is described.>

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