[Resource Topic] 2023/240: Pitfalls and Shortcomings for Decompositions and Alignment (Full Version)

Welcome to the resource topic for 2023/240

Title:
Pitfalls and Shortcomings for Decompositions and Alignment (Full Version)

Authors: Baptiste Lambin, Gregor Leander, Patrick Neumann

Abstract:

In this paper we, for the first time, study the question under which circumstances decomposing a round function of a Substitution-Permutation Network is possible uniquely. More precisely, we provide necessary and sufficient criteria for the non-linear layer on when a decomposition is unique. Our results in particular imply that, when cryptographically strong S-boxes are used, the decomposition is indeed unique.

We then apply our findings to the notion of alignment, pointing out that the previous definition allows for primitives that are both aligned and unaligned simultaneously.

As a second result, we present experimental data that shows that alignment might only have limited impact. For this, we compare aligned and unaligned versions of the cipher PRESENT.

ePrint: https://eprint.iacr.org/2023/240

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