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Improved linear programming decoding of LDPC codes and bounds on the minimum and fractional distance
Improved linear programming LDPC codes bounds minimum fractional distance
2011/1/19
We examine LDPC codes decoded using linear programming (LP). Four contributions to the LP framework are presented. First, a new method of tightening the LP relaxation,and thus improving the LP decoder...
Rank Bounds for Design Matrices with Applications to Combinatorial Geometry and Locally Correctable Codes
Design Matrices Applications Combinatorial Geometry Locally Correctable Codes
2010/12/10
A (q, k, t)-design matrix is an m×n matrix whose pattern of zeros/non-zeros satisfies the
following design-like condition: each row has at most q non-zeros, each column has at least
k non-zeros and ...