On the Feistel Counterpart of the Boomerang Connectivity Table

Autor: Hamid Boukerrou, Paul Huynh, Virginie Lallemand, Bimal Mandal, Marine Minier
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: IACR Transactions on Symmetric Cryptology, Vol 2020, Iss 1 (2020)
Druh dokumentu: article
ISSN: 2519-173X
DOI: 10.13154/tosc.v2020.i1.331-362
Popis: At Eurocrypt 2018, Cid et al. introduced the Boomerang Connectivity Table (BCT), a tool to compute the probability of the middle round of a boomerang distinguisher from the description of the cipher’s Sbox(es). Their new table and the following works led to a refined understanding of boomerangs, and resulted in a series of improved attacks. Still, these works only addressed the case of Substitution Permutation Networks, and completely left out the case of ciphers following a Feistel construction. In this article, we address this lack by introducing the FBCT, the Feistel counterpart of the BCT. We show that the coefficient at row Δi, ∇o corresponds to the number of times the second order derivative at points Δi, ∇o) cancels out. We explore the properties of the FBCT and compare it to what is known on the BCT. Taking matters further, we show how to compute the probability of a boomerang switch over multiple rounds with a generic formula.
Databáze: Directory of Open Access Journals