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A New Automatic Tool Searching for Impossible Differential of NIST Candidate ACE

College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410072, China
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Mathematics 2020, 8(9), 1576; https://doi.org/10.3390/math8091576
Received: 12 August 2020 / Revised: 3 September 2020 / Accepted: 9 September 2020 / Published: 12 September 2020
The ACE algorithm is a candidate of the Lightweight Cryptography standardization process started by the National Institute of Standards and Technology (NIST) of the USA that passed the first round and successfully entered the second round. It is designed to achieve a balance between hardware cost and software efficiency for both authenticated encryption with associated data (AEAD) and hashing functionalities. This paper focuses on the impossible differential attack against the ACE permutation, which is the core component of the ACE algorithm. Based on the method of characteristic matrix, we build an automatic searching algorithm that can be used to search for structural impossible differentials and give the optimal permutation for ACE permutation and other SPN ciphers. We prove that there is no impossible differential of ACE permutation longer than 9 steps and construct two 8-step impossible differentials. In the end, we give the optimal word permutation against impossible differential cryptanalysis, which is π=(2,4,1,0,3), and a safer word XOR structure of ACE permutation. View Full-Text
Keywords: ACE; impossible differential cryptanalysis; NIST lightweight cryptography ACE; impossible differential cryptanalysis; NIST lightweight cryptography
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MDPI and ACS Style

Liu, J.; Liu, G.; Qu, L. A New Automatic Tool Searching for Impossible Differential of NIST Candidate ACE. Mathematics 2020, 8, 1576. https://doi.org/10.3390/math8091576

AMA Style

Liu J, Liu G, Qu L. A New Automatic Tool Searching for Impossible Differential of NIST Candidate ACE. Mathematics. 2020; 8(9):1576. https://doi.org/10.3390/math8091576

Chicago/Turabian Style

Liu, Jingyi; Liu, Guoqiang; Qu, Longjiang. 2020. "A New Automatic Tool Searching for Impossible Differential of NIST Candidate ACE" Mathematics 8, no. 9: 1576. https://doi.org/10.3390/math8091576

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