An algebraic formulation of the division property: revisiting degree evaluations, cube attacks, and key-independent sums
Since it was proposed in 2015 as a generalization of integral properties, the division
property has evolved into a powerful tool for probing the structures of Boolean functions …
property has evolved into a powerful tool for probing the structures of Boolean functions …
Massive superpoly recovery with nested monomial predictions
Determining the exact algebraic structure or some partial information of the superpoly for a
given cube is a necessary step in the cube attack–a generic cryptanalytic technique for …
given cube is a necessary step in the cube attack–a generic cryptanalytic technique for …
Integral cryptanalysis of round-reduced shadow-32 for iot nodes
The increasing prominence of the Internet of Things (IoT) necessitates a thorough
examination of IoT nodes, as they play a critical role in transmitting, processing, and storing …
examination of IoT nodes, as they play a critical role in transmitting, processing, and storing …
Fast MILP models for division property
P Derbez, B Lambin - IACR Transactions on Symmetric Cryptology, 2022 - tosc.iacr.org
Nowadays, MILP is a very popular tool to help cryptographers search for various
distinguishers, in particular for integral distinguishers based on the division property …
distinguishers, in particular for integral distinguishers based on the division property …
Integral attack on the full FUTURE block cipher
FUTURE is a recently proposed lightweight block cipher that achieved a remarkable
hardware performance due to careful design decisions. FUTURE is an Advanced Encryption …
hardware performance due to careful design decisions. FUTURE is an Advanced Encryption …
Convexity of division property transitions: theory, algorithms and compact models
A Udovenko - Advances in Cryptology–ASIACRYPT 2021: 27th …, 2021 - Springer
Integral cryptanalysis is a powerful tool for attacking symmetric primitives, and division
property is a state-of-the-art framework for finding integral distinguishers. This work …
property is a state-of-the-art framework for finding integral distinguishers. This work …
On MILP-based automatic search for bit-based division property for ciphers with (large) linear layers
M ElSheikh, AM Youssef - … Conference on Information Security and Privacy, 2021 - Springer
With the introduction of the division trail, the bit-based division property (BDP) has become
the most efficient method to search for integral distinguishers. The notation of the division …
the most efficient method to search for integral distinguishers. The notation of the division …
Automatic search for bit-based division property
S Ghosh, O Dunkelman - Progress in Cryptology–LATINCRYPT 2021: 7th …, 2021 - Springer
Division properties, introduced by Todo at Eurocrypt 2015, are an extension of square attack
(also called saturation attack or integral cryptanalysis). Given their importance, a large …
(also called saturation attack or integral cryptanalysis). Given their importance, a large …
Improved division property for ciphers with complex linear layers
Y Mao, W Wu, B Wang, L Zhang - Australasian Conference on Information …, 2022 - Springer
The division property proposed by Todo at EUROCRYPT 2015 as a generalized integral
property has been applied to many symmetric ciphers. Automatic search methods of the …
property has been applied to many symmetric ciphers. Automatic search methods of the …
Divide and Rule: DiFA-Division Property Based Fault Attacks on PRESENT and GIFT
The division property introduced by Todo in Crypto 2015 is one of the most versatile tools in
the arsenal of a cryptanalyst which has given new insights into many ciphers primarily from …
the arsenal of a cryptanalyst which has given new insights into many ciphers primarily from …