Hash Property and Fixed-rate Universal Coding Theorems

Computer Science – Information Theory

Scientific paper

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submitted to IEEE Transactions on Information Theory, Mar. 2008. 15 pages

Scientific paper

The aim of this paper is to prove the achievability of fixed-rate universal coding problems by using our previously introduced notion of hash property. These problems are the fixed-rate lossless universal source coding problem and the fixed-rate universal channel coding problem. Since an ensemble of sparse matrices satisfies the hash property requirement, it is proved that we can construct universal codes by using sparse matrices.

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