A Highly Nonlinear Differentially 4 Uniform Power Mapping That Permutes Fields of Even Degree

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dc.creatorBracken, Carl
dc.creatorLeander, Gregor
dc.date2009-01-13
dc.date.accessioned2026-07-07T12:29:01Z
dc.date.available2026-07-07T12:29:01Z
dc.descriptionFunctions with low differential uniformity can be used as the s-boxes of symmetric cryptosystems as they have good resistance to differential attacks. The AES (Advanced Encryption Standard) uses a differentially-4 uniform function called the inverse function. Any function used in a symmetric cryptosystem should be a permutation. Also, it is required that the function is highly nonlinear so that it is resistant to Matsui's linear attack. In this article we demonstrate that a highly nonlinear permutation discovered by Hans Dobbertin has differential uniformity of four and hence, with respect to differential and linear cryptanalysis, is just as suitable for use in a symmetric cryptosystem as the inverse function.
dc.description10 pages, submitted to Finite Fields and Their Applications
dc.identifierhttps://arxiv.org/abs/0901.1824
dc.identifierhttp://arxiv.org/abs/0901.1824
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215733
dc.subjectInformation Theory
dc.titleA Highly Nonlinear Differentially 4 Uniform Power Mapping That Permutes Fields of Even Degree
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