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cs.CC2025
Relaxed vs. Full Local Decodability with Few Queries: Equivalence and Separations for Linear Codes
Elena Grigorescu, Vinayak M. Kumar, Peter Manohar +1
A locally decodable code (LDC) is an error-correcting code that allows one to recover any bit of the original message with good probability while…
cs.CC2024
Relaxed Local Correctability from Local Testing
Vinayak M. Kumar, Geoffrey Mon
We construct the first asymptotically good relaxed locally correctable codes with polylogarithmic query complexity, bringing the upper bound polynomially close to the lower bound o…