Spectral Moment of Order Four and the Uniqueness of the CCZ class of Dublin APN Permutation
Val\'erie Gillot, Philippe Langevin, Abdoulaye Lo
TL;DR
This paper introduces new methods for analyzing 6-bit APN-functions, focusing on spectral moments of order four, and discusses the uniqueness of the CCZ class within Dublin APN permutations.
Contribution
It presents novel approaches to classify 6-bit APN-functions using spectral moments and explores the uniqueness of the CCZ class in Dublin APN permutations.
Findings
New spectral moment techniques for APN-functions
Classification results for 6-bit Boolean functions
Insights into the CCZ class uniqueness
Abstract
The note provides new apparoaches and results for the search of 6-bit APN-functions based on the classification of 6-bits Boolean functions.
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Taxonomy
Topicsgraph theory and CDMA systems · Coding theory and cryptography · Graph Labeling and Dimension Problems