The revised boomerang connectivity tables and their connection to the Difference Distribution Table

arXiv:2407.12617 · cs.CR, cs.IT, math.IT · Submitted 2024-07-17 · Read on arXiv

cs.CR, cs.IT, math.IT

Submitted: 2024-07-17

Updated: 2025-01-27

Journal ref: Designs, Codes and Cryptography, Vol 93, pp. 1951-1984, 2025

DOI: 10.1007/s10623-025-01582-3

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

Terminology

• Boomerang Connectivity Table — 41× in this paper
• Difference Distribution Table — 7× in this paper
• Double Boomerang Connectivity Table — 5× in this paper
• Lower Boomerang Connectivity Table — 5× in this paper
• Trace — 5× in this paper · explained in 2 episodes
• Extended Boomerang Connectivity Table — 4× in this paper
• Generalization — 4× in this paper · explained in 13 episodes
• Feistel Boomerang Connectivity Table — 2× in this paper
• Upper Boomerang Connectivity Table — 2× in this paper
• Boomerang Difference Table — 1× in this paper
• Core — 1× in this paper · explained in 2 episodes

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