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LZ78 Compression in Low Main Memory Space

Part of the Lecture Notes in Computer Science book series (LNTCS,volume 10508)

Abstract

We present the first algorithms that perform the LZ78 compression of a text of length n over alphabet \([1..\sigma ]\), whose output is z integers, using only \(O(z\lg \sigma )\) bits of main memory. The algorithms read the input text from disk in a single pass, and write the compressed output to disk. The text can also be decompressed within the same main memory usage, which is unprecedented too. The algorithms are based on hashing and, under some simplifying assumptions, run in O(n) expected time. We experimentally verify that our algorithms use 2–9 times less time and/or space than previously implemented LZ78 compressors.

This collaboration started during the Dagstuhl Seminar 16431, “Computation over Compressed Structured Data”. We also acknowledge the funding from Millennium Nucleus Information and Coordination in Networks ICM/FIC RC130003 (G.N.).

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Notes

  1. 1.

    http://pizzachili.dcc.uchile.cl/texts.

  2. 2.

    http://hgdownload.cse.ucsc.edu/goldenPath/hg18/bigZips/est.fa.gz.

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Acknowledgements

We thank the reviewers for their insightful comments.

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Correspondence to Gonzalo Navarro .

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Arroyuelo, D., Cánovas, R., Navarro, G., Raman, R. (2017). LZ78 Compression in Low Main Memory Space. In: Fici, G., Sciortino, M., Venturini, R. (eds) String Processing and Information Retrieval. SPIRE 2017. Lecture Notes in Computer Science(), vol 10508. Springer, Cham. https://doi.org/10.1007/978-3-319-67428-5_4

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  • DOI: https://doi.org/10.1007/978-3-319-67428-5_4

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