[Resource Topic] 2024/1218: A Note on the use of the Double Boomerang Connectivity Table (DBCT) for Spotting Impossibilities

Welcome to the resource topic for 2024/1218

Title:
A Note on the use of the Double Boomerang Connectivity Table (DBCT) for Spotting Impossibilities

Authors: Xavier Bonnetain, Virginie Lallemand

Abstract:

In this short note we examine one of the impossible boomerang distinguishers of Skinny-128-384 provided by Zhang, Wang and Tang at ToSC 2024 Issue 2 and disprove it.

The issue arises from the use of the Double Boomerang Connectivity Table (DBCT) as a tool to establish that a boomerang switch over 2 rounds has probability zero, whereas the DBCT only covers specific cases of difference propagation, missing a large set of events that might make the connection possible.

We study in details the specific instance provided by Zhang et al. and display one example of a returning quartet that contradicts the impossibility.

ePrint: https://eprint.iacr.org/2024/1218

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