All reports by Author Geoffrey Mon:

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TR23-056
| 26th April 2023
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Geoffrey Mon, Dana Moshkovitz, Justin Oh#### Approximate Locally Decodable Codes with Constant Query Complexity and Nearly Optimal Rate

Geoffrey Mon, Dana Moshkovitz, Justin Oh

We present simple constructions of good approximate locally decodable codes (ALDCs) in the presence of a $\delta$-fraction of errors for $\delta<1/2$. In a standard locally decodable code $C \colon \Sigma_1^k \to \Sigma_2^n$, there is a decoder $M$ that on input $i \in [k]$ correctly outputs the $i$-th symbol of a ... more >>>