#P- and $\oplus$P- completeness of counting roots of a sparse polynomial

Alexey Milovanov

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arXiv · 1608.07564

#P- and $\oplus$P- completeness of counting roots of a sparse polynomial

Alexey Milovanov

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Abstract

We improve and simplify the result of the part 4 of "Counting curves and their projections" (Joachim von zur Gathen, Marek Karpinski, Igor Shparlinski) by showing that counting roots of a sparse polynomial over $\mathbb{F}_{2^n}$ is #P- and $\oplus$P-complete under deterministic reductions.

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Alexey Milovanov. 2016-08-08. #P- and $\oplus$P- completeness of counting roots of a sparse polynomial. https://arxiv.org/abs/1608.07564

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