English

Total Protection of Analytic Invariant Information in Cross Tabulated Tables

Cryptography and Security 2007-05-23 v1 Discrete Mathematics Data Structures and Algorithms

Abstract

To protect sensitive information in a cross tabulated table, it is a common practice to suppress some of the cells in the table. An analytic invariant is a power series in terms of the suppressed cells that has a unique feasible value and a convergence radius equal to +\infty. Intuitively, the information contained in an invariant is not protected even though the values of the suppressed cells are not disclosed. This paper gives an optimal linear-time algorithm for testing whether there exist nontrivial analytic invariants in terms of the suppressed cells in a given set of suppressed cells. This paper also presents NP-completeness results and an almost linear-time algorithm for the problem of suppressing the minimum number of cells in addition to the sensitive ones so that the resulting table does not leak analytic invariant information about a given set of suppressed cells.

Keywords

Cite

@article{arxiv.cs/0101032,
  title  = {Total Protection of Analytic Invariant Information in Cross Tabulated Tables},
  author = {Ming-Yang Kao},
  journal= {arXiv preprint arXiv:cs/0101032},
  year   = {2007}
}