Journal article
A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree
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 the highly nonlinear permutation f (x) = x22k+2k+1 on the field F24k , discovered by Hans Dobbertin (1998) [1], 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.
Its suitability with respect to other attacks remains to be seen.
Language: | English |
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Year: | 2010 |
Pages: | 231-242 |
ISSN: | 10902465 and 10715797 |
Types: | Journal article |
DOI: | 10.1016/j.ffa.2010.03.001 |