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ECCC
2011
188views ECommerce» more  ECCC 2011»
14 years 6 months ago
Three Query Locally Decodable Codes with Higher Correctness Require Exponential Length
Locally decodable codes are error correcting codes with the extra property that, in order to retrieve the correct value of just one position of the input with high probability, it...
Anna Gál, Andrew Mills
STOC
2005
ACM
132views Algorithms» more  STOC 2005»
16 years 40 min ago
Locally decodable codes with 2 queries and polynomial identity testing for depth 3 circuits
In this work we study two, seemingly unrelated, notions. Locally Decodable Codes (LDCs) are codes that allow the recovery of each message bit from a constant number of entries of ...
Zeev Dvir, Amir Shpilka
AAECC
2007
Springer
127views Algorithms» more  AAECC 2007»
14 years 11 months ago
Skew-cyclic codes
We generalize the notion of cyclic codes by using generator polynomials in (non commutative) skew polynomial rings. Since skew polynomial rings are left and right euclidean, the o...
Delphine Boucher, Willi Geiselmann, Felix Ulmer
CORR
2010
Springer
80views Education» more  CORR 2010»
14 years 11 months ago
New Set of Codes for the Maximum-Likelihood Decoding Problem
The maximum-likelihood decoding problem is known to be NP-hard for general linear and Reed-Solomon codes [1, 4]. In this paper, we introduce the notion of A-covered codes, that is...
Morgan Barbier
BXML
2004
15 years 1 months ago
Binary Queries and XML Transformations
: We present a grammar-based approach to specifying k-ary queries for XML documents. k-ary queries simultaneously locate k nodes of an input tree as specified by a given relation. ...
Alexandru Berlea