Title
Quadratic Equations from a Kind of S-boxes
Abstract
Algebraic attack studies ciphers from the point of view of solving equations. It is important to measure the security of block ciphers how many linearly independent bi-affine or quadratic equations they satisfy. As the S-box is the main nonlinear part of block ciphers, it really makes sense to get the number of linearly independent bi-affine and quadratic equations that an S-box satisfies to analyse the security of block ciphers. The article answers this question for two S-boxes based on APN power functions, and shows how to find out the equations by two toy examples. The techniques can be generalized to other S-boxes constructed by power functions. According to these conclusions, we can estimate the safety of such kind of block ciphers.
Year
DOI
Venue
2009
10.1007/978-3-642-10838-9_18
WISA
Keywords
Field
DocType
main nonlinear part,algebraic attack studies cipher,power function,apn power function,quadratic equation,block cipher,quadratic equations,linearly independent bi-affine,toy example,power functions,satisfiability
Block size,T-function,S-box,Key schedule,Algebra,Computer science,Interpolation attack,Algorithm,Theoretical computer science,Linear cryptanalysis,Avalanche effect,Differential cryptanalysis
Conference
Volume
ISSN
Citations 
5932
0302-9743
0
PageRank 
References 
Authors
0.34
12
3
Name
Order
Citations
PageRank
Jia Xie100.34
Weiwei Cao2163.97
Tianze Wang3152.55