[Resource Topic] 2003/108: Novel Cyclic and Algebraic Properties of AES

Welcome to the resource topic for 2003/108

Novel Cyclic and Algebraic Properties of AES

Authors: Tri Van Le


Rijndael, or the Advanced Encryption Standard, is an interesting
cipher from a designer’s viewpoint. Over the last few decades, the
most notable, and successful attacks against the best block
ciphers were linear and differential cryptanalysis. On the other
hand, Rijndael is designed from the ground up to resist these
attacks, as well as many others, by employing special algebraic
properties of its primitive operations. The byte inversion
operation over finite field \mathbb{F}_{256} was chosen by its
designer to thwart all possibly useful linear and difference
invariances, the basic ingredients of linear and differential
cryptanalysis. However, by using simple algebraic operations with
known properties, the combinations of them may possess many
interesting, and unexpected, algebraic properties that were not
known at design time. This paper presents such new unknown
properties on the combinations of primitive operations of AES.

ePrint: https://eprint.iacr.org/2003/108

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