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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > SCHWARTZ-ZIPPEL:
Reports tagged with Schwartz-Zippel:
TR10-096 | 16th June 2010
Dana Moshkovitz

An Alternative Proof of The Schwartz-Zippel Lemma

Revisions: 1

We show a non-inductive proof of the Schwartz-Zippel lemma. The lemma bounds the number of zeros of a multivariate low degree polynomial over a finite field.

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TR20-179 | 2nd December 2020
Siddharth Bhandari, Prahladh Harsha, Mrinal Kumar, Madhu Sudan

Decoding Multivariate Multiplicity Codes on Product Sets

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 Kopparty, Saraf and Yekhanin [J. ACM, 2014], who showed how to use this lemma to construct high-rate locally-decodable codes. However, the algorithmic results about these ... more >>>




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