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

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

2009-01-13

arxiv.org/abs/0901.1824v1

Computer Science

Information Theory

10 pages, submitted to Finite Fields and Their Applications

Scientific paper

Functions 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.

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