All reports by Author Ashish Dwivedi:

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TR24-028
| 19th February 2024
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Ashish Dwivedi, Zeyu Guo, Ben Lee Volk#### Optimal Pseudorandom Generators for Low-Degree Polynomials Over Moderately Large Fields

Ashish Dwivedi, Zeyu Guo, Ben Lee Volk

We construct explicit pseudorandom generators that fool $n$-variate polynomials of degree at most $d$ over a finite field $\mathbb{F}_q$. The seed length of our generators is $O(d \log n + \log q)$, over fields of size exponential in $d$ and characteristic at least $d(d-1)+1$. Previous constructions such as Bogdanov's (STOC ... more >>>