Convex Optimization
On universal properties of capacity-approaching LDPC code ensembles
IEEE Transactions on Information Theory
Modern Coding Theory
Efficient erasure correcting codes
IEEE Transactions on Information Theory
Parity-Check Density Versus Performance of Binary Linear Block Codes: New Bounds and Applications
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Hi-index | 0.00 |
This work considers the behavior of the degree distributions of capacity-approaching low-density parity-check (LDPC) code ensembles via linear programming (LP) bounds. These LP bounds are information-theoretic, and they apply to finite-length LDPC codes and to the asymptotic case of an infinite block length. Analytical solutions of these bounds are given in closed form, and the bounds are compared for the BEC with some specific degree distributions of capacity-achieving sequences of LDPC code ensembles. These LP bounds are shown to be informative and are easy to calculate. Due to space limitations, the derivation of the LP bounds is outlined, and the reader is referred to the full paper version [9] for complete proofs and further discussions.