Cryptology ePrint Archive: Report 2020/1112

A cautionary note on the use of Gurobi for cryptanalysis

Muhammad ElSheikh and Amr M. Youssef

Abstract: Mixed Integer Linear Programming (MILP) is a powerful tool that helps to automate several cryptanalysis techniques for symmetric key primitives. $\textsf{Gurobi}$ is one of the most popular solvers used by researchers to obtain useful results from the MILP models corresponding to these cryptanalysis techniques. In this report, we provide a cautionary note on the use of $\textsf{Gurobi}$ in the context of bit-based division property integral attacks. In particular, we report four different examples in which $\textsf{Gurobi}$ gives contradictory results when solving the same MILP model by just changing the number of used threads or reordering some constraints.

Category / Keywords: secret-key cryptography /

Date: received 14 Sep 2020, last revised 14 Sep 2020

Contact author: m_elshei at encs concordia ca

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Version: 20200915:113159 (All versions of this report)

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