Abstract
We consider the nonlinear function used in the Advanced Encryption Standard (AES). This nonlinear function is essentially inversion in the finite field GF(28), which is most naturally considered as a projective transformation. Such a viewpoint allows us to demonstrate certain properties of this AES nonlinear function. In particular, we make some comments about the group generated by such transformations, and we give a characterisation for the values in the AES Difference or XOR Table for the AES nonlinear function and comment on the geometry given by this XOR Table.
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Communicated by P. Wild.
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Jackson, WA., Murphy, S. Projective aspects of the AES inversion. Des Codes Crypt 43, 167–179 (2007). https://doi.org/10.1007/s10623-007-9059-4
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DOI: https://doi.org/10.1007/s10623-007-9059-4