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REPORTS > AUTHORS > GUY WEISSENBERG:
All reports by Author Guy Weissenberg:

TR25-217 | 16th December 2025
Tom Gur, Dor Minzer, Guy Weissenberg, Kai Zhe Zheng

$3$-Query RLDCs are Strictly Stronger than $3$-Query LDCs

We construct $3$-query relaxed locally decodable codes (RLDCs) with constant alphabet size and length $\tilde{O}(k^2)$ for $k$-bit messages. Combined with the lower bound of $\tilde{\Omega}(k^3)$ of [Alrabiah, Guruswami, Kothari, Manohar, STOC 2023] on the length of locally decodable codes (LDCs) with the same parameters, we obtain a separation between RLDCs ... more >>>




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