Questions tagged [hidden-field-equation]

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Hidden field equations - existence of zeroes

Let $\mathbb{F}_q$ be a finite field of size $q$ (prime), and $\mathbb{F}_{q^n}$ be a degree-$n$ algebraic extension of $\mathbb{F}_q$. Let $F$ be a polynomial function $\mathbb{F}_{q^n} \to \mathbb{F}_{q^n}$ of the form $$ \sum_{i, j \in I_A}…
Myath
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Algorithm that solves a system of linear equations over finite fields when a parameter is needed

I was reading Kipnis' and Shamir's paper on Cryptanalysis of the HFE Public Key Cryptosystem by Relinearisation and I wanted to implement the example at the end in Octave without using any additional packages (e.g symbolic ...). I would like to…