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Episode 250: What's the Deal with Hash Functions?
Zero Knowledge
How to Construct a State of Three Field Elements
The property that we want for this to be secure is that the resultant function has so-called high algebraic degree. Grubner basis attacks come from interpretation of this process separately like you look into individual rounds they're all of degree five and then you make them into a single system. As the number of rounds grows it also increases the complexity of this Grubner based attacks because what happens is that you have to solve bigger and bigger set of equations.
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