In a Nisan-Wigderson design polynomial (in short, a design polynomial), the gcd of every pair of monomials has a low degree. A useful example of such a polynomial is the following:
Equivalence testing for a polynomial family \{g_m\}_{m \in \mathbb{N}} over a field F is the following problem: Given black-box access to an n-variate polynomial f(\mathbb{x}), where n is the number of variables in g_m for some m \in \mathbb{N}, check if there exists an A \in \text{GL}(n,\text{F}) such that $f(\mathbb{x}) ... more >>>
