The second-order zero differential spectra of some APN and other maps over finite fields

arXiv:2310.13775 · cs.IT, cs.CR, math.IT, math.NT · Submitted 2023-10-20 · Read on arXiv

cs.IT, cs.CR, math.IT, math.NT

Submitted: 2023-10-20

Updated: 2023-10-20

Journal ref: Journal of Algebra and Its Applications, Vol. 24, Issue No. 13n14, Article No. 2541002, 2025

DOI: 10.1142/S0219498825410026

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Boomerang Connectivity Table — 9× in this paper
• Feistel Boomerang Connectivity Table — 6× in this paper
• Difference Distribution Table — 1× in this paper
• Substitution-Permutation Network — 1× in this paper
• Trace — 1× in this paper · explained in 2 episodes

Sources

• The second-order zero differential spectra of some functions over finite fields
• In-depth analysis of S-boxes over binary finite fields concerning their differential and Feistel boomerang differential uniformities

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