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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| Other Authors: | |
| Format: | Conference Paper |
| Language: | English |
| Published: |
2015
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/81328 http://hdl.handle.net/10220/39228 |