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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > POLYNOMIAL INTERPOLATION:
Reports tagged with polynomial interpolation:
TR12-073 | 11th June 2012
Venkatesan Guruswami, Carol Wang

Linear-algebraic list decoding for variants of Reed-Solomon codes

Folded Reed-Solomon codes are an explicit family of codes that achieve the optimal trade-off between rate and list error-correction capability. Specifically, for any $\epsilon > 0$, Guruswami and Rudra presented an $n^{O(1/\epsilon)}$ time algorithm to list decode appropriate folded RS codes of rate $R$ from a fraction $1-R-\epsilon$ of ... more >>>


TR24-109 | 29th June 2024
Oded Goldreich

On the Cook-Mertz Tree Evaluation procedure

Revisions: 1

The input to the Tree Evaluation problem is a binary tree of height $h$ in which each internal vertex is associated with a function mapping pairs of $\ell$-bit strings to $\ell$-bit strings, and each leaf is assigned an $\ell$-bit string.
The desired output is the value of the root, ... more >>>




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