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Results previously obtained show that a variable-size burst has the potential to improve spectral efficiency in burst-by-burst wireless communication systems. However the methods proposed were applicable to only a certain class of channels. In this work, an alternative strategy for constructing a variable-size burst based on the minimum description length criterion is proposed. Use of this information-theoretic criterion enhances the applicability and efficacy of a variable-size burst, in a wider gamut of scenarios. The cost for this improved optimality is an increase in computational complexity compared to the previously proposed methods.