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Damaged BZip Files Are Difficult to Repair

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Computing and Combinatorics (COCOON 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5092))

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Abstract

bzip is a program written by Julian Seward that is often used under Unix to compress single files. It splits the file into blocks which are compressed individually using a combination of the Burrows-Wheeler-Transformation, the Move-To-Front algorithm, Huffman and Runlength encoding. The author himself stated that compressed blocks that are damaged, i.e., part of which are lost, are essentially non-recoverable. This paper gives a formal proof that this is indeed true: focusing on the Burrows-Wheeler-Transformation, the problem of completing a transformed string, such that the decoded string obeys certain file format restrictions, is NP-hard.

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References

  1. Brandstädt, A., Le, V.B., Spinrad, J.P.: Graph Classes; A Survey. SIAM Monographs on Discrete Mathematics and Applications (1999)

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  2. Burrows, M., Wheeler, D.J.: A Block-sorting Lossless Data Compression Algorithm. SRC Research Report (1994)

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  3. Garey, M.R., Johnson, D.S.: Computers and Intractability; A Guide to the Theory of NP-Completeness. W. H. Freeman & Co., New York (1979)

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  5. Seward, J.: - The official BZip Homepage, http://www.bzip.org

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Xiaodong Hu Jie Wang

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© 2008 Springer-Verlag Berlin Heidelberg

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Hundt, C., Ochsenfahrt, U. (2008). Damaged BZip Files Are Difficult to Repair. In: Hu, X., Wang, J. (eds) Computing and Combinatorics. COCOON 2008. Lecture Notes in Computer Science, vol 5092. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69733-6_2

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  • DOI: https://doi.org/10.1007/978-3-540-69733-6_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69732-9

  • Online ISBN: 978-3-540-69733-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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