Hitting Sets for Low-Degree Polynomials with Optimal Density
We give a length-efficient puncturing of Reed-Muller codes which preserves its distance properties. Formally, for the Reed-Muller code encoding n-variate degree-d polynomials over Fq with q ≳ d/δ, we present an explicit (multi)-set S ⊆ Fqn of size N=poly(nd/δ) such that every nonzero polynomial vani...
Main Authors: | , |
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Drugi avtorji: | |
Format: | Conference Paper |
Jezik: | English |
Izdano: |
2015
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Teme: | |
Online dostop: | https://hdl.handle.net/10356/81328 http://hdl.handle.net/10220/39228 |