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Quadratic time algorithm for inversion of binary permutation polynomials

Lucas Barthelemy 1 Delaram Kahrobaei 2 Guénaël Renault 3, 4 Zoran Šunić 5
1 Quarkslab
2 Department of Mathematics [New York CUNY]
3 PolSys - Polynomial Systems
Inria de Paris, LIP6
4 LCR - Laboratoire de cryptographie de l'ANSSI
5 Hofstra University [Hempstead]
Abstract : In this paper, we propose a new version of the Lagrangian 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.Quadratic time algorithm for inversion of binary permutation polynomials
Keywords : Lagrangian interpolation Permutation polynomial Obfuscation
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Lucas Barthelemy, Delaram Kahrobaei, Guénaël Renault, Zoran Šunić. Quadratic time algorithm for inversion of binary permutation polynomials. ICMS 2018 - International Congress on Mathematical Software, Jul 2018, South Bend, IN, United States. pp.19-27, ⟨10.1007/978-3-319-96418-8_3⟩. ⟨hal-01981320⟩

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