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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > BOOLEAN SLICES:
Reports tagged with Boolean slices:
TR25-056 | 28th April 2025
Prashanth Amireddy, Amik Raj Behera, Srikanth Srinivasan, Madhu Sudan

A Near-Optimal Polynomial Distance Lemma Over Boolean Slices

The celebrated Ore-DeMillo-Lipton-Schwartz-Zippel (ODLSZ) lemma asserts that $n$-variate non-zero polynomial functions of degree $d$ over a field $\mathbb{F}$, are non-zero over any ``grid'' (points of the form $S^n$ for finite subset $S \subseteq \mathbb{F}$) with probability at least $\max\{|S|^{-d/(|S|-1)},1-d/|S|\}$ over the choice of random point from the grid. In particular, ... more >>>




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