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This is a Quantitative Study study.

October 19, 2025Open Access

Spectral Moment of Order Four and the Uniqueness of the CCZ class of Dublin APN Permutation

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New findings enhance understanding of the classification of 6-bit APN-functions.
The research emphasizes the spectral moment of order four's role in identifying unique permutations.
This work contributes to the theory of boolean functions, specifically in the realm of cryptography.
Implications suggest a refined approach to the search for secure permutation functions in cryptographic applications.

Implication

This analysis reveals new results for APN-functions classification in 6-bit boolean functions, indicating potential improvements in permutation cryptography.

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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Cite This Study

Gillot et al. (2025) studied this question.

synapsesocial.com/papers/68f4b10d3d9d770bbc697045 https://doi.org/10.48550/arxiv.2507.12853

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Implication

This analysis reveals new results for APN-functions classification in 6-bit boolean functions, indicating potential improvements in permutation cryptography.

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.

Spectral Moment of Order Four and the Uniqueness of the CCZ class of Dublin APN Permutation

Key Points

Implication

Abstract

Discussion

Cite This Study

Spectral Moment of Order Four and the Uniqueness of the CCZ class of Dublin APN Permutation

Key Points

Implication

Abstract

Discussion

Cite This Study

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