Projective aspects of the AES inversion
Date
2007
Authors
Jackson, W.
Murphy, S.
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Journal article
Citation
Designs, Codes, and Cryptography, 2007; 43(2-3):167-179
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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.