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.
On weakly APN functions and 4-bit S-Boxes / Fontanari, Claudio; V., Pulice; Rimoldi, Anna; Sala, Massimiliano. - In: FINITE FIELDS AND THEIR APPLICATIONS. - ISSN 1071-5797. - STAMPA. - 18:3(2012), pp. 522-528. [10.1016/j.ffa.2011.11.003]
On weakly APN functions and 4-bit S-Boxes
Fontanari, Claudio;Rimoldi, Anna;Sala, Massimiliano
2012-01-01
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.| File | Dimensione | Formato | |
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