Cryptology ePrint Archive: Report 2021/022

Increasing Precision of Division Property

Patrick Derbez and Pierre-Alain Fouque

Abstract: In this paper we propose new techniques related to division property. We describe for the first time a practical algorithm for computing the propagation tables of 16-bit Super-Sboxes, increasing the precision of the division property by removing a lot of false division trails. We also improve the complexity of the procedure introduced by Lambin et al. (Design, Codes and Cryptography, 2020) to extend a cipher with linear mappings and show how to decrease the number of transitions to look for. While search procedures for integral distinguishers most often rely on MILP or SAT solvers for their ease of programming the propagation constraints, such generic solvers can only handle small 4/8-bit Sboxes. Thus we developed an ad-hoc tool handling larger Sboxes and all the improvements described in the paper. As a result, we found new integral distinguishers on SKINNY-64, HIGHT and Midori-64.

Category / Keywords: secret-key cryptography / Division property, SKINNY, Midori, HIGHT, Tools

Original Publication (in the same form): IACR-TOSC ISSUE 4-2020

Date: received 6 Jan 2021

Contact author: patrick derbez at irisa fr

Available format(s): PDF | BibTeX Citation

Version: 20210106:214530 (All versions of this report)

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