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REPORTS > KEYWORD > NISAN-WIGDERSON DESIGN POLYNOMIAL:
Reports tagged with Nisan-Wigderson design polynomial:
TR18-164 | 18th September 2018
Nikhil Gupta, Chandan Saha

On the symmetries of design polynomials

Revisions: 1

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:
$$\text{NW}_{d,k}(\mathbf{x}) = \sum_{h \in \mathbb{F}_d[z], ~\deg(h) \leq k}{~~~~\prod_{i = 0}^{d-1}{x_{i, h(i)}}},$$
where $d$ is a prime, $\mathbb{F}_d$ is the ... more >>>




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