[Resource Topic] 2020/357: Quasigroups and Substitution Permutation Networks: A Failed Experiment

Welcome to the resource topic for 2020/357

Title:
Quasigroups and Substitution Permutation Networks: A Failed Experiment

Authors: George Teseleanu

Abstract:

We introduce a generalization of substitution permutation networks using quasigroups. Then, we prove that for quasigroups isotopic with a group \mathbb{G}, the complexity of mounting a differential attack against our generalization is the same as attacking a substitution permutation network based on \mathbb{G}. Although the result is negative, we believe that the design can be instructional for teaching students that failure is a natural part of research. Also, we hope to prevent others from making the same mistake by showing where such a path leads.

ePrint: https://eprint.iacr.org/2020/357

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