Some papers of Cube attack,Cube attacks work well for random polynomials of small degree. Real-world ciphers, when viewed as polynomials, don t have small degree. Every real-world cipher has about half of the possible monomials of degree 0, about half of the possible monomials of degree 1, about half of the possible monomials of degree 2, about half of the possible monomials of degree 3, ..., about half of the possible monomials of degree 30, about half of the possible monomials of degree 31, about half of the possible monomials of degree 32, ..., about half of the possible monomials of degree 40, ..., about half of the possible monomials of degree 50, etc., continuing far beyond the degrees that cube attacks could possibly reach.

Cube attack on Tweakable black box polynomials.pdf
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