Differential Properties of LRX-analogues of Small Constant Multiplication

Authors

  • Serhii Yakovliev National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”

Abstract

In this work, we consider a class of mappings over bit vectors which imitate the multiplication by small constants with pure logic operations and non-cyclic shifts. Such mappings can provide non-linearity and strengthen the design of LRX-cryptosystems, which are widely used in lightweight cryptography, due to their apparent benefits: a simple implementation and the absence of internal rotational symmetry, which increases security against rotational attacks. We examine the security of these mappings against differential cryptanalysis. We provide an explicit easy-to-calculate expression of differential probabilities for several versions of LRX-analogues of small constant multiplication with different operations and shift values.

Additional Files

Published

2025-03-26

Issue

Vol. 71 No. 1 (2025)

Section

Cryptography and Cybersecurity

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