Locally testable and locally correctable codes approaching the gilbert-varshamov bound

SODA '17: Symposium on Discrete Algorithms Barcelona Spain January, 2017, pp. 2073-2091, 2017.

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One of the most important open problems in the theory of error-correcting codes is to determine the tradeoff between the rate R and minimum distance δ of a binary code. The best known tradeoff is the Gilbert-Varshamov bound, and says that for every δ ∈ (0, 1/2), there are codes with minimum distance δ and rate R = RGV (δ) > 0 (for a certa...More



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