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- W333967823 abstract "In his Ph.D. disseration, Feldman and his collaborators define the linear programming decoder for binary linear codes, which is a linear programming relaxation of the maximum-likelihood decoding problem. This decoder does not, in general, attain maximum-likelihood performance; however, the source of this discrepancy is known to be the presence of non-integral extreme points (vertices) within the fundamental polytope, vectors which are also called nontrivial linear programming pseudocodewords. Restricting to the class of cycle codes, we provide necessary conditions for a vector to be a linear programming pseudocodeword. In particular, the components of any such pseudocodeword can only assume values of zero, one-half, or one." @default.
- W333967823 created "2016-06-24" @default.
- W333967823 creator A5087713664 @default.
- W333967823 date "2012-12-12" @default.
- W333967823 modified "2023-09-27" @default.
- W333967823 title "LP Pseudocodewords of Cycle Codes are Half-Integral" @default.
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