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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > GROUP VALUED POLYNOMIALS:
Reports tagged with group valued polynomials:
TR24-056 | 29th March 2024
Prashanth Amireddy, Amik Raj Behera, Manaswi Paraashar, Srikanth Srinivasan, Madhu Sudan

Local Correction of Linear Functions over the Boolean Cube

We consider the task of locally correcting, and locally list-correcting, multivariate linear functions over the domain $\{0,1\}^n$ over arbitrary fields and more generally Abelian groups. Such functions form error-correcting codes of relative distance $1/2$ and we give local-correction algorithms correcting up to nearly $1/4$-fraction errors making $\widetilde{\mathcal{O}}(\log n)$ queries. This ... more >>>




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