Open AccessResearch on the Security Criterion of S‐Boxes Against Division Property
Author(s) -
Senpeng Wang,
Bin Hu,
Jie Guan,
Tairong Shi,
Kai Zhang
Publication year - 2021
Publication title -
chinese journal of electronics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.267
H-Index - 25
eISSN - 2075-5597
pISSN - 1022-4653
DOI - 10.1049/cje.2020.10.013
Subject(s) - division (mathematics) , property (philosophy) , computer science , computer security , mathematics , arithmetic , philosophy , epistemology
As a generalized integral property, division property was proposed by Todo at EUROCRYPT 2015. We propose a new security criterion of S‐boxes against division property and prove that it is invariant under permutation‐xor equivalence. Based on the criterion, the division properties of some important 4‐bit S‐boxes are showed. Then, we apply it to improve the resistance of ciphers against division‐property‐based integral attacks while keeping the same security level against other attacks. Specifically, the resistance of the cipher PRESENT against division‐property‐based integral attack is improved by 2 rounds, and the resistance of the cipher LBlock against division‐property‐based integral attack is improved by 1 round.