New answers tagged function-evaluation
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What criteria make the theta step of Keccak's round function reversible?
Not exactly an answer, but you may want to look at section 2.3.2.1 of "The Keccak Reference". There they represent the state as a polynomial in
$$
\mathbb{F}_2[x,y,z]/(1+x^5,1+y^5,1+z^w)
$$
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