2005 | OriginalPaper | Buchkapitel
Complementation-Like and Cyclic Properties of AES Round Functions
verfasst von : Tri Van Le, Rüdiger Sparr, Ralph Wernsdorf, Yvo Desmedt
Erschienen in: Advanced Encryption Standard – AES
Verlag: Springer Berlin Heidelberg
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While it is known previously that the cycle lengths of individual components of the AES round function are very small, we demonstrate here that the cycle length of the S-box combined with the ShiftRow and MixColumn transformation is at least 10
205
. This result is obtained by providing new invariances of the complete AES round function without the key addition. Furthermore, we consider self-duality properties of the AES round function and derive a property analogous to the complementation property of the DES round function.These results confirm the assessments given in other publications that the AES components have several unexpected structural properties.