On Linear Redundancy in the AES S-Box

Joanne Fuller; William Millan

Paper 2002/111 Original: eprint.iacr.org/2002/111 ↗

On Linear Redundancy in the AES S-Box

Joanne Fuller

William Millan

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.

Metadata

Available format(s): PDF
Publication info: Preprint.
History: 2002-08-05: last updated; 2002-08-05: published
Short URL: https://ia.cr/2002/111
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2002/111,
      author = {Joanne Fuller and William Millan},
      title = {On Linear Redundancy in the AES S-Box},
      howpublished = {Cryptology {ePrint} Archive, Paper 2002/111},
      year = {2002},
      url = {https://eprint.iacr.org/2002/111}
}