Quadratic Time Algorithm for Inversion of Binary Permutation Polynomials

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Abstract

In this paper, we propose a new version of the Lagrange interpolation applied to binary permutation polynomials and, more generally, permutation polynomials over prime power modular rings. We discuss its application to obfuscation and reverse engineering.

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Barthelemy, L., Kahrobaei, D., Renault, G., & Šunić, Z. (2018). Quadratic Time Algorithm for Inversion of Binary Permutation Polynomials. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10931 LNCS, pp. 19–27). Springer Verlag. https://doi.org/10.1007/978-3-319-96418-8_3

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