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https://hdl.handle.net/2440/45951
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Type: | Journal article |
Title: | Projective aspects of the AES inversion |
Author: | Jackson, W. Murphy, S. |
Citation: | Designs, Codes and Cryptography, 2007; 43(2-3):167-179 |
Publisher: | Kluwer Academic Publ |
Issue Date: | 2007 |
ISSN: | 0925-1022 1573-7586 |
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. |
Keywords: | Block ciphers Advanced Encryption Standard AES inversion Projective geometry XOR table 94A60 51E15 |
DOI: | 10.1007/s10623-007-9059-4 |
Published version: | http://dx.doi.org/10.1007/s10623-007-9059-4 |
Appears in Collections: | Aurora harvest Mathematical Sciences publications |
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