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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...
Analytical Solution of Covariance Evolution for Irregular LDPC Codes
Analytical Solution Covariance Evolution Irregular LDPC Codes
2010/11/12
A scaling law developed by Amraoui et al. is a powerful technique to estimate the block error probability of finite length low-density parity-check (LDPC) codes. Solving a system of differential equa...
Weight Distributions of Multi-Edge type LDPC Codes
low-density parity-check code structured codes weight distributions
2010/11/30
The multi-edge type LDPC codes, introduced by Richardson and Urbanke, present the general class of struc-tured LDPC codes. In this paper, we derive the average weight distributions of the multi-edge t...
Secret Sharing LDPC Codes for the Constrained Gaussian Wiretap Channel
Secret Sharing LDPC Codes Constrained Gaussian Wiretap Channel
2010/12/7
The problem of secret sharing over the Gaussian wiretap channel is considered. A source and a
destination intend to share secret information over a Gaussian channel in the presence of a wiretapper wh...
Optimized IR-HARQ Schemes Based on Punctured LDPC Codes over the BEC
Optimized IR-HARQ Schemes Based Punctured LDPC Codes BEC
2010/12/6
We study incremental redundancy hybrid ARQ (IR-HARQ) schemes based on punctured, finite-length, LDPC codes. The transmission is assumed to take place over time varying binary erasure channels, such as...