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REPORTS > AUTHORS > AMIK RAJ BEHERA:
All reports by Author Amik Raj Behera:

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

Revisions: 1

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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