International Association for Cryptologic Research

International Association
for Cryptologic Research


Paper: On Linear Redundancy in the AES S-Box

Joanne Fuller
William Millan
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Abstract: We show the existence of a previously unknown linear redundancy property of the only nonlinear component of the AES block cipher. It is demonstrated that the outputs of the 8*8 Rijndael s-box (based on inversion in a finite field) are all equivalent under affine transformation. The method used to discover these affine relations is novel and exploits a new fundamental result on the invariance properties of local connection structure of affine equivalence classes. As well as increasing existing concerns about the security of the AES, these results may also have serious consequences for many other ciphers recently proposed for standardisation.
  title={On Linear Redundancy in the AES S-Box},
  booktitle={IACR Eprint archive},
  keywords={boolean functions, AES},
  note={ 11904 received 5 Aug 2002},
  author={Joanne Fuller and William Millan},