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Electronic Colloquium on Computational Complexity

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Reports tagged with Reed-Muller:
TR08-111 | 14th November 2008
Shachar Lovett, Tali Kaufman

The List-Decoding Size of Reed-Muller Codes

Revisions: 2

In this work we study the list-decoding size of Reed-Muller codes. Given a received word and a distance parameter, we are interested in bounding the size of the list of Reed-Muller codewords that are within that distance from the received word. Previous bounds of Gopalan, Klivans and Zuckerman~\cite{GKZ08} on the ... more >>>

TR09-030 | 5th April 2009
Shachar Lovett

The density of weights of Generalized Reed-Muller codes

We study the density of the weights of Generalized Reed--Muller codes. Let $RM_p(r,m)$ denote the code of multivariate polynomials over $\F_p$ in $m$ variables of total degree at most $r$. We consider the case of fixed degree $r$, when we let the number of variables $m$ tend to infinity. We ... more >>>

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