On weakly APN functions and 4-bit S-Boxes |
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Authors: | Claudio Fontanari Valentina Pulice Anna Rimoldi Massimiliano Sala |
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Institution: | 1. Department of Mathematics, University of Trento, Italy;2. eRISCS, Université de la Méditerranée, Marseille, France |
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Abstract: | S-Boxes are important security components of block ciphers. We provide theoretical results on necessary or sufficient criteria for an (invertible) 4-bit S-Box to be weakly APN. Thanks to a classification of 4-bit invertible S-Boxes achieved independently by De Cannière and Leander–Poschmann, we can strengthen our results with a computer-aided proof. We also propose a class of 4-bit S-Boxes which are very strong from a security point of view. |
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