Towards 3 query locally decodable codes
WebMar 8, 2024 · Yekhanin, S., ‘ Towards 3-query locally decodable codes of subexponential length ’, J. ACM 55 (1) (2008), 1:1 ... WebLocally decodable codes (LDCs) allow one to decode any particular symbol of the input message by making a constant number of queries to a codeword, even if a constant …
Towards 3 query locally decodable codes
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WebJun 18, 2011 · Towards 3-query locally decodable codes of subexponential length. S. Yekhanin; Computer Science. JACM. 2008; TLDR. These constructions of three query LDCs of vastly shorter length are obtained by constructing a large number of vectors in a small dimensional vector space whose inner products are restricted to lie in an algebraically ... WebSince the concept of locally decodable codes was introduced by Katz and Trevisan in 2000 ... Yekhanin, S.: Towards 3-query locally decodable codes of subexponential length. J. …
WebJan 1, 2016 · It goes on to establish an exponential lower bound on any ‘1-query locally quantum-decodable code’. ... Towards 3-query locally decodable codes of … WebApr 9, 2024 · [Yek08]Yekhanin S. Towards 3-query locally decodable codes of subexponential length[J]. Journal of the ACM (JACM), 2008, 55(1): 1-16. [Efr09]Efremenko K. 3-query locally decodable codes of subexponential length[C]//Proceedings of the forty-first annual ACM symposium on Theory of computing. 2009: 39-44.
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 …
WebMay 22, 2005 · It is shown that from every depth 3 arithmetic circuit (ΣΠΣ circuit), C, with a bounded (constant) top fan-in that computes the zero polynomial, one can construct a locally decodeable code and it is proved that if E: Fn → Fm is a linear LDC with 2 queries then m = exp(Ω(n). In this work we study two, seemingly unrelated, notions. Locally …
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 hatte louis armstrong geschwisterWebSep 15, 2024 · Towards 3-query locally decodable codes of subexponential length. Article. Feb 2008; J ACM; Sergey Yekhanin; A q -query Locally Decodable Code (LDC) encodes an n -bit message x as an N -bit ... hattel shopWebJul 27, 2010 · Mahdi Cheraghchi is an Assistant Professor of EECS at the University of Michigan, Ann Arbor. Before joining U of M in 2024, he was on the faculty of Imperial College London, UK, where he maintains ... bootstrap icon inside inputWeb(We say that an r-query code C tolerates δ fraction of errors if C is (r,δ,ϵ)-locally decodable for some ϵ < 1/2. The second generation of LDCs [BIKR02, WY05] combined the earlier ideas of polynomial interpolation with a clever use of recursion to show that Reed-Muller type codes are not the bootstrap icon not working in angularWebJan 10, 2024 · Towards 3-query locally decodable codes of subexponential length. Article. Feb 2008; J ACM; Sergey Yekhanin; A q -query Locally Decodable Code (LDC) encodes an n -bit message x as an N -bit ... hattember competitionWebFeb 22, 2008 · Under this conjecture, our constructions yield three query locally decodable codes of length N = exp ( nO(1/log log n)) for infinitely many n. We also obtain analogous improvements for Private Information Retrieval (PIR) schemes. We give 3-server PIR … bootstrap icon hamburgerWebThe 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 … hatte maria callas kinder