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Cube attacks are an important type of key recovery attacks against stream ciphers. In particular, it is shown to be powerful against Trivium-like ciphers. Traditional cube attacks are experimental att...
Division property is a new cryptanalysis method introduced by Todo at Eurocrypt'15 that proves to be very efficient on block ciphers and stream ciphers. It can be viewed as a generalization or a more ...
Division property is a generalized integral property proposed by Todo at EUROCRYPT 2015, and then conventional bit-based division property (CBDP) and bit-based division property using three subsets (B...
The division property proposed at Eurocrypt'15 is a novel technique to find integral distinguishers, which has been applied to most kinds of symmetric ciphers such as block ciphers, stream ciphers, an...
We apply our technique to stream cipher TRIVIUM and KREYVIUM. For TRIVIUM, benefited from our techniques, we, for the first time, can recover the superpoly of 833-rounds with cube dimension 73, and co...
Division property is a generalized integral property proposed by Todo at Eurocrypt 2015. Previous tools for automatic searching are mainly based on the Mixed Integer Linear Programming (MILP) method a...
The cube attack is one of powerful cryptanalytic techniques and is especially powerful against stream ciphers. Since we need to analyze the complicated structure of a stream cipher in the cube attack,...
At ASIACRYPT 2016, Xiang et al. applied MILP method to search integral distinguisher based on division property. This method handled the huge time and memory complexities which had constituted the mai...
In this paper we propose a new technique that achieves a trade-off between considering each bit independently and considering left and right halves as a whole, which is actually a trade-off between ti...
Division property is a generalized integral property proposed by Todo at EUROCRYPT 2015, and very recently, Todo et al. proposed bit-based division property and applied to SIMON32 at FSE 2016. However...
The huge time and memory complexities of utilizing bit-based division property, which was first presented by Todo and Morri at FSE 2016, bothered cryptographers for quite some time and it had been sol...
A new distinguishing property against block ciphers, called the division property, was introduced by Todo at Eurocrypt 2015. Our work gives a new approach to it by the introduction of the notion of ...
At EUROCRYPT 2015, Todo proposed the division property. Since then, many researches about the division property had occurred in succession. Inspired by the bit-based division property on SIMON introdu...
Ciphers that do not use S-boxes have been discussed for the demand on lightweight cryptosystems, and their round functions consist of and, rotation, and xor. Especially, the Simon family is one of t...
In 2015, Todo introduced a property of multisets of a finite field called the division property. It is then used by Todo in an attack against the S7 S-box of the MISTY1 cipher. This paper provides a c...

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