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arXiv · 1511.02360

A note on an infeasible linearization of some block ciphers

Riccardo Aragona·Anna Rimoldi·Massimiliano Sala
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Abstract

A block cipher can be easily broken if its encryption functions can be seen as linear maps on a small vector space. Even more so, if its round functions can be seen as linear maps on a small vector space. We show that this cannot happen for the AES. More precisely, we prove that if the AES round transformations can be embedded into a linear cipher acting on a vector space, then this space is huge-dimensional and so this embedding is infeasible in practice. We present two elementary proofs.

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Riccardo Aragona, Anna Rimoldi, Massimiliano Sala. 2017-02-02. A note on an infeasible linearization of some block ciphers. https://doi.org/10.1080/09720529.2016.1197598

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