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Abstract: A new incremental algorithm for data compression is presented. For a sequenceof input symbols algorithm incrementally constructs a p-adic integer number asan output. Decoding process starts with less significant part of a p-adicinteger and incrementally reconstructs a sequence of input symbols. Algorithmis based on certain features of p-adic numbers and p-adic norm. p-adic codingalgorithm may be considered as of generalization a popular compressiontechnique - arithmetic coding algorithms. It is shown that for p = 2 thealgorithm works as integer variant of arithmetic coding; for a special class ofmodels it gives exactly the same codes as Huffmans algorithm, for anotherspecial model and a specific alphabet it gives Golomb-Rice codes.

Autor: Anatoly Rodionov, Sergey Volkov

Fuente: https://arxiv.org/

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