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Combinatorial Algorithms and Methods for Security of Statistical Databases Related to the Work of Mirka Miller

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Combinatorial Algorithms (IWOCA 2017)

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Abstract

This article gives a survey of combinatorial algorithms and methods for database security related to the work of Mirka Miller. The main contributions of Mirka Miller and coauthors to the security of statistical databases include the introduction of Static Audit Expert and theorems determining time complexity of its combinatorial algorithms, a polynomial time algorithm for deciding whether the maximum possible usability can be achieved in statistical database with a special class of answerable statistics, NP-completeness of similar problems concerning several other types of databases, sharp upper bounds on the number of compromise-free queries in certain categories of statistical databases, and analogous results on applications of Static Audit Expert for the prevention of relative compromise.

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Acknowledgements

The authors are grateful to three reviewers for comments and corrections that have helped to improve this paper. This work has been supported by Discovery grant DP160100913 from Australian Research Council.

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Authors and Affiliations

  1. School of Science, RMIT University, GPO Box 2476, Melbourne, VIC, 3001, Australia

    Andrei Kelarev & Xun Yi

  2. School of Computing and Information Technology, University of Wollongong, Northfields Avenue, Wollongong, NSW, 2522, Australia

    Jennifer Seberry

  3. School of Computing, Engineering and Mathematics, Western Sydney University, Locked Bay 1797, Penrith, NSW, 2751, Australia

    Leanne Rylands

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  1. Andrei Kelarev
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  2. Jennifer Seberry
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  4. Xun Yi
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Correspondence to Andrei Kelarev .

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Editors and Affiliations

  1. University of Newcastle Australia, Callaghan, New South Wales, Australia

    Ljiljana Brankovic

  2. University of Newcastle Australia, Callaghan, New South Wales, Australia

    Joe Ryan

  3. McMaster University, Hamilton, Ontario, Canada

    William F. Smyth

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Kelarev, A., Seberry, J., Rylands, L., Yi, X. (2018). Combinatorial Algorithms and Methods for Security of Statistical Databases Related to the Work of Mirka Miller. In: Brankovic, L., Ryan, J., Smyth, W. (eds) Combinatorial Algorithms. IWOCA 2017. Lecture Notes in Computer Science(), vol 10765. Springer, Cham. https://doi.org/10.1007/978-3-319-78825-8_31

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  • DOI: https://doi.org/10.1007/978-3-319-78825-8_31

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