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Higher Order Correlation Attacks, XL Algorithm and Cryptanalysis of Toyocrypt
Algebraic cryptanalysis multivariate equations overdefined equations
2009/4/14
Many stream ciphers are built of a linear sequence generator
and a non-linear output function f. There is an abundant literature on
(fast) correlation attacks, that use linear approximations of f to...
Relation between XL algorithm and Gr¨obner Bases Algorithms
Algebraic attacks Gr¨obner bases algorithm F4 XL algorithm
2009/3/26
We clarify a relation between the XL algorithm and Gr¨obner
bases algorithms. The XL algorithm was proposed to be a more efficient
algorithm to solve a system of equations with a special assumptio w...