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DOI: 10.4230/LIPIcs.CPM.2018.3

On Undetected Redundancy in the Burrows-Wheeler Transform

Authors: Uwe Baier

Published in: LIPIcs, Volume 105, 29th Annual Symposium on Combinatorial Pattern Matching (CPM 2018)

Abstract

The Burrows-Wheeler-Transform (BWT) is an invertible permutation of a text known to be highly compressible but also useful for sequence analysis, what makes the BWT highly attractive for lossless data compression. In this paper, we present a new technique to reduce the size of a BWT using its combinatorial properties, while keeping it invertible. The technique can be applied to any BWT-based compressor, and, as experiments show, is able to reduce the encoding size by 8-16 % on average and up to 33-57 % in the best cases (depending on the BWT-compressor used), making BWT-based compressors competitive or even superior to today's best lossless compressors.

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Uwe Baier. On Undetected Redundancy in the Burrows-Wheeler Transform. In 29th Annual Symposium on Combinatorial Pattern Matching (CPM 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 105, pp. 3:1-3:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)

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@InProceedings{baier:LIPIcs.CPM.2018.3,
  author =	{Baier, Uwe},
  title =	{{On Undetected Redundancy in the Burrows-Wheeler Transform}},
  booktitle =	{29th Annual Symposium on Combinatorial Pattern Matching (CPM 2018)},
  pages =	{3:1--3:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-074-3},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{105},
  editor =	{Navarro, Gonzalo and Sankoff, David and Zhu, Binhai},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CPM.2018.3},
  URN =		{urn:nbn:de:0030-drops-87049},
  doi =		{10.4230/LIPIcs.CPM.2018.3},
  annote =	{Keywords: Lossless data compression, BWT, Tunneling}
}

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DOI: 10.4230/LIPIcs.CPM.2016.23

Linear-time Suffix Sorting - A New Approach for Suffix Array Construction

Authors: Uwe Baier

Published in: LIPIcs, Volume 54, 27th Annual Symposium on Combinatorial Pattern Matching (CPM 2016)

Abstract

This paper presents a new approach for linear-time suffix sorting. It introduces a new sorting principle that can be used to build the first non-recursive linear-time suffix array construction algorithm named GSACA. Although GSACA cannot keep up with the performance of state of the art suffix array construction algorithms, the algorithm introduces a couple of new ideas for suffix array construction, and therefore can be seen as an ’idea collection’ for further suffix array construction improvements.

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Uwe Baier. Linear-time Suffix Sorting - A New Approach for Suffix Array Construction. In 27th Annual Symposium on Combinatorial Pattern Matching (CPM 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 54, pp. 23:1-23:12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)

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@InProceedings{baier:LIPIcs.CPM.2016.23,
  author =	{Baier, Uwe},
  title =	{{Linear-time Suffix Sorting - A New Approach for Suffix Array Construction}},
  booktitle =	{27th Annual Symposium on Combinatorial Pattern Matching (CPM 2016)},
  pages =	{23:1--23:12},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-012-5},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{54},
  editor =	{Grossi, Roberto and Lewenstein, Moshe},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CPM.2016.23},
  URN =		{urn:nbn:de:0030-drops-60698},
  doi =		{10.4230/LIPIcs.CPM.2016.23},
  annote =	{Keywords: Suffix array, sorting algorithm, linear time}
}

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Documents authored by Baier, Uwe

On Undetected Redundancy in the Burrows-Wheeler Transform

Abstract

Cite as

Linear-time Suffix Sorting - A New Approach for Suffix Array Construction

Abstract

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