[Resource Topic] 2022/618: A simple proof of ARX completeness

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Title:
A simple proof of ARX completeness

Authors: Adriano Koleci

Abstract:

In the recent years there has been a growing interest in ARX ciphers thanks to their performance in low cost architectures. This work is a short and simple proof that Add, Rotate and Exclusive-OR (ARX) operations generate the permutation group S_{2^n} and it is made up by elementary arguments with minimal use of group theory.

ePrint: https://eprint.iacr.org/2022/618

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