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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > LINE POINT TEST:
Reports tagged with line point test:
TR23-182 | 21st November 2023
Prahladh Harsha, Mrinal Kumar, Ramprasad Saptharishi, Madhu Sudan

An Improved Line-Point Low-Degree Test

We prove that the most natural low-degree test for polynomials over finite fields is ``robust'' in the high-error regime for linear-sized fields. Specifically we consider the ``local'' agreement of a function $f\colon \mathbb{F}_q^m \to \mathbb{F}_q$ from the space of degree-$d$ polynomials, i.e., the expected agreement of the function from univariate ... more >>>




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