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Algorithms 2014, 7(4), 608-620; doi:10.3390/a7040608

High-Order Entropy Compressed Bit Vectors with Rank/Select

1
Institut für Theoretische Informatik, Karlsruhe Institute of Technology, Kaiserstraße 12, 76131 Karlsruhe, Germany
2
Fakultät für Informatik, Technical University of Dortmund, Otto-Hahn-Straße 14,44227 Dortmund, Germany
*
Author to whom correspondence should be addressed.
Academic Editor: Tak-Wah Lam
Received: 21 August 2014 / Revised: 8 October 2014 / Accepted: 28 October 2014 / Published: 3 November 2014
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Abstract

We design practical implementations of data structures for compressing bit-vectors to support efficient rank-queries (counting the number of ones up to a given point). Unlike previous approaches, which either store the bit vectors plainly, or focus on compressing bit-vectors with low densities of ones or zeros, we aim at low entropies of higher order, for example 101010...10. Our implementations achieve very good compression ratios, while showing only a modest increase in query time. View Full-Text
Keywords: design and analysis of algorithms; data compression; implementation and testing of algorithms design and analysis of algorithms; data compression; implementation and testing of algorithms
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Beskers, K.; Fischer, J. High-Order Entropy Compressed Bit Vectors with Rank/Select. Algorithms 2014, 7, 608-620.

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