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cs.IT2022
Vanishing Spaces of Random Sets and Applications to Reed-Muller Codes
Siddharth Bhandari, Prahladh Harsha, Ramprasad Saptharishi +1
We study the following natural question on random sets of points in : Given a random set of points , what i…
cs.IT2021
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…
cs.IT2020★ 3 cited
Decoding Multivariate Multiplicity Codes on Product Sets
Siddharth Bhandari, Prahladh Harsha, Mrinal Kumar +1
The multiplicity Schwartz-Zippel lemma bounds the total multiplicity of zeroes of a multivariate polynomial on a product set. This lemma motivates the multiplicity codes of Koppart…