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Revisit Division Property Based Cube Attacks: Key-Recovery or Distinguishing Attacks?
Division property cube attacks MILP Trivium
2019/4/16
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...
Linearly equivalent S-boxes and the Division Property
Cryptanalysis Division Property RECTANGLE
2019/2/27
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 ...
MILP Method of Searching Integral Distinguishers Based on Division Property Using Three Subsets
Division property using three subsets Integral distinguisher MILP
2018/12/11
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...
Automatic Search for A Variant of Division Property Using Three Subsets (Full Version)
Division Property Three-Subset STP
2018/12/11
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...
Improved Division Property Based Cube Attacks Exploiting Low Degree Property of Superpoly
Cube attack Division property MILP
2017/11/10
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...
Automatic Search of Bit-Based Division Property for ARX Ciphers and Word-Based Division Property
Automatic search Division property ARX
2017/9/13
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...
Cube Attacks on Non-Blackbox Polynomials Based on Division Property
Cube attack Stream cipher Division property
2017/4/11
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,...
MILP-Aided Bit-Based Division Property for Primitives with Non-Bit-Permutation Linear Layers
MILP-aided bit-based division property AES LED
2016/12/10
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...
On the Division Property of SIMON48 and SIMON64
SIMON division property integral cryptanalysis
2016/12/10
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...
Applying MILP Method to Searching Integral Distinguishers Based on Division Property for 6 Lightweight Block Ciphers
MILP division property integral cryptanalysis
2016/12/10
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...
MILP-Aided Bit-Based Division Property for ARX-Based Block Cipher
MILP-aided bit-based division property HIGHT LEA
2016/12/7
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 ...
Towards a Further Understanding of Bit-Based Division Property
Integral cryptanalysis Table-aided bit-based division property Early reduce
2016/4/21
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...
Bit-Based Division Property and Application to Simon Family
secret-key cryptography cryptanalysis
2016/3/16
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...
On the division property of S-boxes
Discrete Fourier Transform integral attack division property
2016/2/24
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...