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arXiv · 1504.04975

On the Girth of (3,L) Quasi-Cyclic LDPC Codes based on Complete Protographs

Sudarsan V. S. Ranganathan·Dariush Divsalar·Richard D. Wesel
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Abstract

We consider the problem of constructing $(3,L)$ quasi-cyclic low-density parity-check (LDPC) codes from complete protographs. A complete protograph is a small bipartite graph with two disjoint vertex sets such that every vertex in the variable-node set is connected to every vertex in the check-node set by a unique edge. This paper analyzes the required lifting factor for achieving girths of six or eight in the resulting quasi-cyclic codes with constraints on lifting. The required lifting factors provide lower bounds on the block-length of such codes.

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Sudarsan V. S. Ranganathan, Dariush Divsalar, Richard D. Wesel. 2015-04-20. On the Girth of (3,L) Quasi-Cyclic LDPC Codes based on Complete Protographs. https://doi.org/10.1109/isit.2015.7282491

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