WebThe notion of locally decodable codes was explicitly discussed in various places in the early 1990s, most notably in [2, 21, 18]. Katz and Trevisan [14] were the first to provide a formal definition of LDCs and prove lower bounds on their length. Further work on locally decodable codes includes [4, 7, 17, 5, 13, 23]. WebYekhanin, S.: Towards 3-query locally decodable codes of subexponential length. In: Proceedings of the 39th Annual ACM Symposium on Theory of Computing, San Diego. …

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WebA locally decodable code (LDC) is an error-correcting code that allows a single bit of the original message to be decoded with high probability by only examining (or querying) a small number of bits of a possibly corrupted codeword. [1] [2] [3] This property could be useful, say, in a context where information is being transmitted over a noisy ... WebTowards 3-Query Locally Decodable Codes of Subexponential Length∗ Sergey Yekhanin MIT [email protected] Abstract A q-query Locally Decodable Code (LDC) encodes ann-bit … charlwood road

Locally Decodable Codes - ResearchGate

WebFeb 1, 2008 · Under this conjecture, our constructions yield three query locally decodable codes of length N = exp ( n O (1/log log n ) ) for infinitely many n . We also obtain … Web1.1. Families of locally decodable codes 3 that has query complexity 2 and codeword length exponential in the message length. Establishing the optimal trade-o between the length and the query complexity is the major goal of research in the area of locally decodable codes. Interestingly, the natural application of locally decodable codes to WebJun 11, 2007 · A q-query Locally Decodable Code (LDC) encodes an n-bitmessage x as an n-bit codeword C(x), such that one canprobabilistically recover any bit x i of the message by … current handyman rates