Testing a cellular automata construction method to obtain 9-variable cryptographic Boolean functions

Fuente: arXiv
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Autori principali: Prévost, Thomas, Martin, Bruno
Natura: Preprint
Pubblicazione: 2025
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author Prévost, Thomas
Martin, Bruno
author_facet Prévost, Thomas
Martin, Bruno
contents We propose a method for constructing 9-variable cryptographic Boolean functions from the iterates of 5-variable cellular automata rules. We then analyze, for important cryptographic properties of 5-variable cellular automata rules, how they are preserved after extension to 9-variable Boolean functions. For each cryptographic property, we analyze the proportion of 5-variable cellular automata rules that preserve it for each of the 48 affine equivalence classes.
format Preprint
id arxiv_https___arxiv_org_abs_2501_09380
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Testing a cellular automata construction method to obtain 9-variable cryptographic Boolean functions
Prévost, Thomas
Martin, Bruno
Cryptography and Security
We propose a method for constructing 9-variable cryptographic Boolean functions from the iterates of 5-variable cellular automata rules. We then analyze, for important cryptographic properties of 5-variable cellular automata rules, how they are preserved after extension to 9-variable Boolean functions. For each cryptographic property, we analyze the proportion of 5-variable cellular automata rules that preserve it for each of the 48 affine equivalence classes.
title Testing a cellular automata construction method to obtain 9-variable cryptographic Boolean functions
topic Cryptography and Security
url https://arxiv.org/abs/2501.09380