11 citations · 66 across the 33 of their papers we have counts for
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Algorithmizing the Multiplicity Schwartz-Zippel Lemma
Siddharth Bhandari, Prahladh Harsha, Mrinal Kumar +1
The multiplicity Schwartz-Zippel lemma asserts that over a field, a low-degree polynomial cannot vanish with high multiplicity very often on a sufficiently large product set. Since…
Fast, Algebraic Multivariate Multipoint Evaluation in Small Characteristic and Applications
Vishwas Bhargava, Sumanta Ghosh, Mrinal Kumar +1
Multipoint evaluation is the computational task of evaluating a polynomial given as a list of coefficients at a given set of inputs. And while \emph{nearly linear time} algorithms…
Ideal-theoretic Explanation of Capacity-achieving Decoding
Siddharth Bhandari, Prahladh Harsha, Mrinal Kumar +1
In this work, we present an abstract framework for some algebraic error-correcting codes with the aim of capturing codes that are list-decodable to capacity, along with their decod…